Nanomechanics Group
homepage members projects publications about us contact us
 
 
Research Publications
 
 
  1. 2011 Publications
  2. 2010 Publications
  3. 2009 Publications
  4. 2008 Publications
  5. 2007 Publications
  6. 2006 Publications
  7. Conference Papers
  8. Other Publications
  9. Research articles accepted for publication
  10. Research articles submitted for publication

2011 Publications

  • Adisa, O. O., Cox, B. J. and Hill, J. M., (2011) "Packing Configurations for Methane Storage in Carbon Nanotubes", European Physical Journal B, 79, (2), 177-184, doi:10.1140/epjb/e2010-10689-3.

  • Adisa, O. O., Cox, B. J. and Hill, J. M., (2011) "Encapsulation of Methane Molecules into Carbon Nanotubes", Physica B, 406, (1), 88-93, doi:10.1016/j.physb.2010.10.027.

  • Adisa, O. O., Cox, B. J. and Hill, J. M., (2011) "Modelling the surface adsorption of methane on carbon nanostructures", Carbon, 49, (10), 3212-3218, doi:10.1016/j.carbon.2011.03.046.

  • Baowan, D., Chayantrakom, K., Satiracoo, P. and Cox, B. J., (2011) "Mathematical modelling for equilibrium configurations of concentric gold nanoparticles", Journal of Mathematical Chemistry, 49, (5), 1042-1053, doi:10.1007/s10910-010-9796-x.

  • Baowan, D., Cox, B. J. and Hill, J. M., (2011) "Equilibrium configurations for carbon nano-stacked cups", Journal of Computational and Theoretical Nanoscience, 8, (4), 616-623, doi:10.1166/jctn.2011.1731.

  • Baowan, D., Cox, B. J. and Hill, J. M., (2011) "Modelling the joining of nanocones and nanotubes", Journal of Mathematical Chemistry, 49, (2), 475-488, doi:10.1007/s10910-010-9753-8.

  • Chan, Y., Thamwattana, N. and Hill, J. M., (2011) "Axial buckling of multi-walled carbon nanotubes and nanopeapods", European Journal of Mechanics-A/Solids, 30, (6), 794-806, doi:10.1016/j.euromechsol.2011.05.001.

  • Chan, Y. and Hill, J. M., (2011) "Hydrogen storage inside graphene-oxide frameworks", Nanotechnology, 22, (30), 305403, doi:10.1088/0957-4484/22/30/305403.

  • Chan, Y. and Hill, J. M., (2011) "Dynamics of benzene molecules situated in metal-organic frameworks.", Journal of Mathematical Chemistry, 49, (10), 2190-2209, doi:10.1007/s10910-011-9880-x.

  • Chan, Y. and Hill, J. M., (2011) "A mechanical model for single-file transport of water through carbon nanotube membranes", Journal of Membrane Science, 372, (1-2), 57-65, doi:10.1016/j.memsci.2011.01.040.

  • Chan, Y., and Hill, J. M., (2011) "Lithium ion storage between graphene", Nanoscale Research Letters, 6, 203, doi:10.1186/1556-276X-6-203.

  • Chan, Y., Lee, R. K. F. and Hill, J. M., (2011) "Metallofullerenes in composite carbon nanotubes as a nanocomputing memory device.", IEEE Transactions on Nanotechnology, 10, (5), 947-952, doi:10.1109/TNANO.2010.2090170.

  • Cox, B. J. and Hill, J. M., (2011) "Flow through a circular tube with a permeable Navier slip boundary", Nanoscale Research Letters, 6, 389, doi:10.1186/1556-276X-6-389.

  • Cox, B. J. and Hill, J. M., (2011) "Geometric polyhedral models for nanotubes comprising hexagonal lattices", Journal of Computational and Applied Mathematics, 235, (13), 3943-3952, doi:10.1016/j.cam.2011.01.040.

  • Lee, R. K. F., Cox, B. J. and Hill, J. M., (2011) "Asymmetrical oscillatory motion of atoms and fullerenes through open single-walled carbon nanocones", The Quarterly Journal of Mechanics & Applied Mathematics, 64, (4), 441-453, doi:10.1093/qjmam/hbr013.

  • Lee, R. K. F., Cox, B. J. and Hill, J. M., (2011) "General rolled-up and polyhedral models for carbon nanotubes", Journal of Fullerenes, Nanotubes and Carbon Nanostructures, 19, (8), 726-748, doi:10.1080/1536383X.2010.494786.

  • Lee, R. K. F. and Hill, J. M., (2011) "Design parameters for carbon nanobottles to absorb and store methane", Journal of Nanoscience and Nanotechnology, 11, (8), 6893-6903, doi:10.1166/jnn.2011.4231.

  • Rahmat, F., Thamwattana, N. and Cox, B. J., (2011) "Modelling peptide nanotubes for artificial ion channels." Nanotechnology, 22, (44), 445707, doi:10.1088/0957-4484/22/44/445707.

  • Tran-Duc, T., Thamwattana, N., Cox, B. J. and Hill, J. M., (2011) "Encapsulation of a benzene molecule into a carbon nanotube", Computational Materials Science, 50, (9), 2720-2726, doi:10.1016/j.commatsci.2011.04.026.

  • Tran-Duc, T., Thamwattana, N. and Hill, J. M., (2011) "Orientation of a benzene molecule inside a carbon nanotube", Journal of Mathematical Chemistry, 49, (6), 1115-1127, doi:10.1007/s10910-011-9809-4.

2010 Publications

  • Adisa, O. O., Cox, B. J., and Hill, J. M., (2010) "Encapsulation of methane in nanotube bundles", Micro & Nano Letters, 5, (5), 291-295, doi:10.1049/mnl.2010.0075.

  • Baowan, D., Cox, B. J. and Hill, J. M., (2010) "Dislodgement of carbon nanotube bundles under pressure driven flow", Nanotechnology, 21, (15), 155305 (7pp), doi:10.1088/0957-4484/21/15/155305.

  • Baowan, D., Cox, B. J. and Hill, J. M., (2010) "Discrete and continuous approximations for nanobuds", Fullerenes, Nanotubes and Carbon Nanostructures, 18, (2), 160-177, doi:10.1080/15363830903586625.

  • Baowan, D., Cox, B. J. Thamwattana, N. and Hill, J. M., "Mechanics of Nanoscaled Oscillators", Chapter 36 in the book Handbook of Nanophysics, CRS (2010), ISBN: 978-1-4200-7542-7.

  • Bunder, J. E. and Hill, J. M., (2010) "Electronic properties of carbon nanotubes with distinct bond lengths", Journal of Applied Physics, 107, (2), 023511, doi:10.1063/1.3289320.

  • Chan, Y. Haverkamp R. G. and Hill, J. M., (2010) "Force-extension formula for the worm-like chain model from a variational principle", Journal of Theoretical Biology, 262, (3), 498-504, doi:10.1016/j.jtbi.2009.10.009.

  • Chan, Y. and Hill, J. M., (2010) "Some novel plane trajectories for carbon atoms and fullerenes captured by two fixed parallel carbon nanotubes", European Physical Journal D, 59, (3), 367-374, doi:10.1140/epjd/e2010-00173-9.

  • Chan, Y. and Hill, J. M., (2010) "Modelling interaction of atoms and ions with graphene", Micro & Nano Letters, 5, (5), 247-250, doi:10.1049/mnl.2010.0058.

  • Lee, R. K. F., Cox, B. J. Cox and Hill, J. M., (2010) "Silicon nanotubes with distinct bond lengths", Journal of Mathematical Chemistry, 47, (2), 569-589, doi:10.1007/s10910-009-9586-5.

  • Lee, R. K. F., Cox, B. J. Cox and Hill, J. M., (2010) "The geometric structure of single-walled nanotubes", Nanoscale, 2, (6), 859-872, doi:10.1039/b9nr00433e.

  • Lee, R. K. F. and Hill, J. M., (2010) "Design of a two-state shuttle memory device", CMC: Computers, Materials & Continua, 20, (1), 85-100, doi:10.3970/cmc.2010.020.085.

  • Rahmat, F., Thamwattana, N. and Hill, J. M., (2010) "Carbon nanotube oscillators for applications as nanothermometers", Journal of Physics A: Mathematical and Theoretical, 43, (40), 405209, doi:10.1088/1751-8113/43/40/405209.

  • Thamwattana, N., Cox, B. J. and Hill, J. M., (2010) "Editorial: Special Issue on the Mathematics and Mechanics in Nanotechnology", Mathematics and Mechanics of Solids, 15, (7), 707-799, doi:10.1177/1081286510375345.

  • Thamwattana, N., Hill, J. M., Baowan, D. and Cox, B. J., (2010) "A review of mathematical and mechanical modelling in nanotechnology", Mathematics and Mechanics of Solids, 15, (7), 708-717, doi:10.1177/1081286510375344.

  • Thornton, A. W., Hill, J. M. and Hill, A. J., "Modelling gas separation in porous membranes", Book Chapter, Membrane Gas Separation, Eds. B. Freeman and Y. Yampolskii, John Willey&Sons. Ltd. (2010). ISBN: 978-0-4707-4621-9 (pp 85-109)

  • Tran-Duc, T., Thamwattana, N., Cox, B. J. and Hill, J. M., (2010) "General model for molecular interactions in a benzene dimer", Mathematics and Mechanics of Solids, 15, (7), 782-799, doi:10.1177/1081286510375343.

  • Tran-Duc, T., Thamwattana, N., Cox, B. J. and Hill, J. M., (2010) "Adsorption of polycyclic aromatic hydrocarbons on graphite surfaces", Journal of Computational Materials Science, 49, (4), S307-S312, doi:10.1016/j.commatsci.2010.03.001.

  • Tran-Duc, T., Thamwattana, N., Cox, B. J. and Hill, J. M., (2010) "Modelling the interaction in a benzene dimer", Philosophical Magazine, 90, (13), 1771-1785, doi:10.1080/14786430903476349.

2009 Publications

  • Broadbridge, P., Triadis, D. and Hill, J. M. (2009) "Infiltration from supply at constant water content: an integrable model", Journal of Engineering Mathematics, 64, (2), 193-206, doi:10.1007/s10665-009-9280-4.

  • Bunder, J. E. and Hill, J. M., (2009) "Electronic properties of silicon nanotubes with distinct bond lengths", Physical Review B, 79, (23), 233401, doi:10.1103/PhysRevB.79.233401.

  • Bunder, J. E. and Hill, J. M., (2009) "Zigzag carbon nanotubes with generic electron-electron interactions", Physical Review B, 80, (15), 153406, doi:10.1103/PhysRevB.80.153406.

  • Bunder, J. E. and Hill, J. M., (2009) "Diffusive growth of fullerenes and carbon nanotubes", Journal of Chemical Physics, 131, (24), 244703, doi:10.1063/1.3277673.

  • Chan, Y., Cox, G. M., Haverkamp, R. G. and Hill, J. M., (2009) "Mechanical model for a collagen fibril pair in extracellular matrix", European Biophysics Journal with Biophysics Letters, 38, (4), 487-493, doi:10.1007/s00249-008-0399-4.

  • Chan, Y., Thamwattana N., Cox, G. M. and Hill, J. M., (2009) "Mechanics of nanoscale orbiting systems", Journal of Mathematical Chemistry, 46, (4), 1271-1291, doi:10.1007/s10910-008-9516-y.

  • Chan, Y., Thamwattana, N. and Hill, J. M., (2009) "Spiral motion of carbon atoms and C60 fullerenes inside single-walled carbon nanotubes", International Journal of Theoretical and Applied Multiscale Mechanics, 1, (2), 176-192, doi:10.1504/IJTAMM.2009.029219.

  • Chan, Y., Thamwattana, N. and Hill, J. M., (2009) "Restricted three body problems at the nanoscale", Few-Body Systems, 46, (4), 239-247, doi:10.1007/s00601-009-0070-3.

  • Chan, Y., Thamwattana, N. and Hill, J. M. (2009) "Magnetic Field Driven Nano Tippe Top", Journal of Computational and Theoretical Nanoscience, 6, (5), 1013-1020, doi:10.1166/jctn.2009.1137.

  • Cox, B. J. and Wagon, S., (2009) "Mechanical circle squaring", College Mathematics Journal, 40, (4), 238-247, doi:10.4169/193113409X458679.

  • Hilder, T. A. and Hill, J. M. (2009) "Modeling loading and unloading of drugs into nanotubes", Small, 5, (3), 300-308, doi:10.1002/smll.200800321.

  • Hilder, T. A. and Hill, J. M. (2009) "Maximum velocity for a single water molecule entering a carbon nanotube", Journal of Nanoscience and Nanotechnology, 9, (2), 1403-1407, doi:10.1166/jnn.2009.C166.

  • Hill, J. M., Spencer, A. J. M. and McCue, S. W., (2009) "Application of a continuum theory to vertical vibrations of a layer of granular material", International Journal of Engineering Science, 47, (11-12), 1216-1231, doi:10.1016/j.ijengsci.2009.05.012.

  • Lee, R. K. F., Cox, B. J. and Hill, J. M. (2009) "An exact polyhedral model for boron nanotubes", Journal of Physics A: Mathematical and Theoretical, 42, (6), 065204 (23pp), doi:10.1088/1751-8113/42/6/065204.

  • Lee, R. K. F., Cox, B. J. and Hill, J. M. (2009) "An idealized polyhedral model and geometric structure for silicon nanotubes", Journal of Physics: Condensed Matter, 21, (7), 075301 (12pp), doi:10.1088/0953-8984/21/7/075301.

  • Lee, R. K. F., Cox, B. J. Cox and Hill, J. M., (2009) "Ideal polyhedral model for boron nanotubes with distinct bond lengths", Journal of Physical Chemistry C, 113, (46), 19794-19805, doi:10.1021/jp904985r.

  • Matthews, M. T. and Hill, J. M., (2009) "Asymptotic analysis of the viscous micro/nano pump at low Reynolds number", Journal of Engineering Mathematics, 63, (2-4), 279-292, doi:10.1007/s10665-008-9229-z.

  • Matthews, M. T. and Hill, J. M., (2009) "On three simple experiments to determine slip lengths", Microfluidics and Nanofluidics, 6, (5), 611-619, doi:10.1007/s10404-008-0338-9.

  • McCue, S. W., Wu, B. and Hill, J. M., (2009) "Micro/nanoparticle melting with spherical symmetry and surface tension", IMA Journal of Applied Mathematics, 74, (3), 439-457, doi:10.1093/imamat/hxn038.

  • Thamwattana, N., Baowan, D. and Hill, J. M. (2009) "Continuum modelling for interactions between fullerenes and other carbon nanostructures", Journal of Computational and Theoretical Nanoscience, 6, (5), 972-984, doi:10.1166/jctn.2009.1132.

  • Thamwattana, N., Cox, B. J. and Hill, J. M., (2009) "Oscillation of carbon molecules inside carbon nanotube bundles", Journal of Physics: Condensed Matter, 21, (14), 144214 (6pp), doi:10.1088/0953-8984/21/14/144214.

  • Thamwattana, N. and Hill, J. M., (2009) "Nanotube bundle oscillators: Carbon and boron nitride nanostructures", Physica B, 404, (21), 3906-3910, doi:10.1016/j.physb.2009.07.140.

  • Thornton, A. W., Hilder, T. A., Hill, A. J. and Hill, J. M., (2009) "Predicting gas diffusion regime within pores of different size, shape and composition", Journal of Membrane Science, 336, (1-2), 101-108, doi:10.1007/s10665-008-9229-z.

  • Thornton, A. W., Hill, A. J., Nairn, K. M. and Hill, J. M., (2009), "New relation between gas diffusion and free volume: I. Predicting gas diffusion", Journal of Membrane Science, 338, (1-2), 29-37, doi:10.1016/j.memsci.2009.03.053.

  • Thornton, A. W., Hill, A. J., Nairn, K. M. and Hill, J. M., (2009), "New relation between gas diffusion and free volume: II. Predicting vacancy diffusion", Journal of Membrane Science, 338, (1-2), 38-42, doi:10.1016/j.memsci.2009.03.057.

  • Thornton, A. W., Nairn, K. M., Hill, J. M., Hill, A. J., and Hill, M. R., (2009) "Metal-organic frameworks impregnated with magnesium-decorated fullerenes for methane and hydrogen storage", Journal of the American Chemical Society, 131, (30), 10662-10669, doi:10.1021/ja9036302.

  • Wu, B., McCue, S. W., Tillman, P. and Hill, J. M., (2009) "Single phase limit for melting nanoparticles", Applied Mathematical Modelling, 33, (5), 2349-2367, doi:10.1016/j.memsci.2009.03.019.

  • Wu, B., Tillman, P., McCue, S. W. and Hill, J. M. (2009) "Nanoparticle melting as a Stefan moving boundary problem", Journal of Nanoscience and Nanotechnolgy, 9, (2), 885-888, doi:10.1166/jnn.2009.C046.

2008 Publications

  • Baowan, D., Cox, B. J. and Hill, J. M. (2008) "A continuous model for the joining of two fullerenes", Philosophical Magazine, 88, (23), 2953-2964, doi:10.1080/14786430802446682.

  • Baowan, D., Cox, B. J. and Hill, J. M. (2008) "Junctions between a boron nitride nanotube and a boron nitride sheet", Nanotechnology, 19, (7), 075704 (12pp), doi:10.1088/0957-4484/19/7/075704.

  • Baowan, D., Cox, B. J. and Hill, J. M. (2008) "Toroidal molecules formed from three distinct carbon nanotubes", Journal of Mathematical Chemistry, 44, (2), 515-527, doi:10.1007/s10910-007-9325-8.

  • Baowan, D. and Hill, J. M. (2008) "Equilibrium locations for nested carbon nanocones", Journal of Mathematical Chemistry, 43, (4), 1489-1504, doi:10.1007/s10910-007-9276-0.

  • Baowan, D. and Hill, J. M. (2008) "Gigahertz oscillators constructed from carbon nanocones inside carbon nanotubes", Journal of Computational and Theoretical Nanoscience, 5, (7), 302-310, doi:10.1166/jctn.2008.007.

  • Baowan, D., Thamwattana, N. and Hill, J. M. (2008) "Suction energy and offset configuration for double-walled carbon nanotubes", Communications in Nonlinear Science and Numerical Simulation, 13, (7), 1431-1447, doi:10.1016/j.cnsns.2007.01.002.

  • Cox, B. J., Hilder, T. A., Baowan, D., Thamwattana, N. and Hill, J. M. (2008) "Continuum modelling of gigahertz nano-oscillators", International Journal of Nanotechnology, 5, (2/3), 195-217, doi:10.1504/ijnt.2008.016916.

  • Cox, B. J. and Hill, J. M. (2008) "Geometric model for boron nitride nanotubes incorporating curvature", Journal of Physical Chemistry C, 112, (42), 16248-16255, doi:10.1021/jp803023q.

  • Cox, B. J. and Hill, J. M. (2008) "A variational approach to the perpendicular joining of nanotubes to plane sheets", Journal of Physics A: Mathematical and Theoretical, 41, (12), 125203 (11pp), doi:10.1088/1751-8113/41/12/125203.

  • Cox, B. J. and Hill, J. M. (2008) "Geometric structure of ultra-small carbon nanotubes", Carbon, 46, (4), 711-713, doi:10.1016/j.carbon.2007.12.011.

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2008) "Mathematical modelling of electrorheological nanofluids", International Journal of Nanotechnology, 5, (2/3), 243-276, doi:10.1504/ijnt.2008.017453.

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2008) "Mechanics of nanotubes oscillating in carbon nanotube bundles", Proceedings of the Royal Society A, 464, (2091), 691-710, doi:10.1098/rspa.2007.0247.

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2008) "Spherical and spheroidal fullerenes entering carbon nanotubes", Current Applied Physics, 8, (3-4), 249-252, doi:10.1016/j.cap.2007.10.009.

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2008) "Orientation of spheroidal fullerenes inside carbon nanotubes with potential applications as memory devices in nano-computing", Journal of Physics A: Mathematical and Theoretical, 41, (23), 235209 (27pp), doi:10.1088/1751-8113/41/23/235209.

  • Cox, G. M., Thamwattana, N, McCue, S. W. and Hill, J. M. (2008) "Coulomb-Mohr granular materials: quasi-static flows and the highly frictional limit", Applied Mechanics Reviews, 61, (6), 060802, doi:10.1115/1.2987874.

  • Hilder, T. A. and Hill, J. M. (2008) "Carbon nanotubes as drug delivery nanocapsules", Current Applied Physics, 8, (3-4), 258-261, doi:10.1016/j.cap.2007.10.011.

  • Hilder, T. A. and Hill, J. M. (2008) "Double-walled carbon nanotubes as nanosyringes", Journal of Computational and Theoretical Nanoscience, 5, (11), 2153-2159, doi:10.1166/jctn.2008.1112.

  • Hilder, T. A. and Hill, J. M. (2008) "Probability of encapsulation of paclitaxel and doxorubicin into carbon nanotubes", Micro & Nano Letters, 3, (2), 41-49, doi:10.1049/mnl:20080008.

  • Hilder, T. A. and Hill, J. M. (2008) "Theoretical comparison of nanotube materials for drug delivery", Micro & Nano Letters, 3, (1), 18-24, doi:10.1049/mnl:20070070.

  • Matthews, M. T. and Hill, J. M. (2008) "Nanofluidics and the Navier boundary condition", International Journal of Nanotechnology, 5, (2/3), 218-242, doi:10.1504/ijnt.2008.016917.

  • Matthews, M. T. and Hill, J. M. (2008) "Effect of slip on the linear stability of flow through a tube", Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 59, (2), 360-379, doi:10.1007/s00033-007-7116-5.

  • Matthews, M. T. and Hill, J. M. (2008) "A note on the boundary layer equations with linear slip boundary condition", Applied Mathematics Letters, 21, (8), 810-813, doi:10.1016/j.aml.2007.09.002.

  • Matthews, M. T. and Hill, J. M. (2008) "Lubrication analysis of the viscous micro/nano pump with slip", Journal Microfluidics and Nanofluidics, 4, (5), 439-449, doi:10.1007/s10404-007-0193-0.

  • McCue, S. W., Wu, B. and Hill, J. M. (2008) "Classical two-phase Stefan problems for spheres", Proceedings of the Royal Society A, 464, (2096), 2055-2076, doi:10.1098/rspa.2007.0315.

  • Thamwattana, N. and Hill, J. M. (2008) "Oscillation of nested fullerenes (carbon onions) in carbon nanotubes", Journal of Nanoparticle Research, 10, (4), 665-677, doi:10.1007/s11051-007-9300-0.

  • Thamwattana, N., McCoy, J. A. and Hill, J. M. (2008) "Energy density functions for protein structures", Quarterly Journal of Mechanics and Applied Mathematics, 61, (3), 431-451, doi:10.1093/qjmam/hbn012.

  • Thamwattana, N. and Hill, J. M. (2008) ‘Comment on "General equilibrium shape equations of polymer chains",’ Physical Review E, 78, (1), 013901 (5pp), doi:10.1103/PhysRevE.78.013901.

  • Thornton, A. W., Hill, A. J., Nairn, K. and Hill, J. M. (2008) "Predicting particle transport through an aging polymer using vacancy diffusion", Current Applied Physics, 8, (3-4), 501-503, doi:10.1016/j.cap.2007.10.051.

2007 Publications

  • Baowan, D., Cox, B. J. and Hill, J. M. (2007) "Two least squares analyses of bond lengths and bond angles for the joining of carbon nanotubes to graphenes", Carbon, 45, (15), 2972-2980, doi:10.1016/j.carbon.2007.09.045.

  • Baowan, D. and Hill, J. M. (2007) "Force distribution for double-walled carbon nanotubes and gigahertz oscillators", Zeitschrift für angewandte Mathematik und Physik (ZAMP), 58, (5), 857-875, doi:10.1007/s00033-006-6098-z.

  • Baowan, D. and Hill, J. M. (2007) "Nested boron nitride and carbon-boron nitride nanocones", Micro & Nano Letters, 2, (2), 46-49, doi:10.1049/mnl:20070041.

  • Baowan, D. and Hill, J. M. (2007) "Wave-like deformations for oscillating carbon nanotubes", International Journal of Solids and Structures, 44, (25-26), 8297-8312, doi:10.1016/j.ijsolstr.2007.06.016.

  • Baowan, D., Thamwattana, N. and Hill, J. M. (2007) "Zigzag and spiral configurations for fullerenes in carbon nanotubes", Journal of Physics A: Mathematical and Theoretical, 40, (27), 7543-7556, doi:10.1088/1751-8113/40/27/008.

  • Baowan, D., Thamwattana, N. and Hill, J. M. (2007) "Continuum modelling of spherical and spheroidal carbon onions", The European Physical Journal D, 44, (1), 117-123, doi:10.1140/epjd/e2007-00159-8.

  • Baowan, D., Thamwattana, N. and Hill, J. M. (2007) "Encapsulation of C60 fullerenes into single-walled carbon nanotubes: Fundamental mechanical principles and conventional applied mathematical modeling", Physical Review B, 76, (15), 155411 (8pp), doi:10.1103/PhysRevB.76.155411.

  • Cox, B. J. and Hill, J. M. (2007) "New carbon molecules in the form of elbow-connected nanotori", Journal of Physical Chemistry C, 111, (29), 10855-10860, doi:10.1021/jp0721402.

  • Cox, B. J. and Hill, J. M. (2007) "Exact and approximate geometric parameters for carbon nanotubes incorporating curvature", Carbon, 45, (7), 1453-1462, doi:10.1016/j.carbon.2007.03.028.

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2007) "Mechanics of atoms and fullerenes in single-walled carbon nanotubes. I. Acceptance and suction energies", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463, (2078), 461-476. doi:10.1098/rspa.2006.1771.

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2007) "Mechanics of atoms and fullerenes in single-walled carbon nanotubes. II. Oscillatory behaviour", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463, (2078), 477-494. doi:10.1098/rspa.2006.1772.

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2007) "Mechanics of spheroidal fullerenes and carbon nanotubes for drug and gene delivery", Quarterly Journal of Mechanics and Applied Mathematics, 60, (2), 231-253, doi:10.1093/qjmam/hbm005.

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2007) "Electrostatic force between coated conducting spheres with applications to electrorheological nanofluids", Journal of Electrostatics, 65, (10-11), 680-688, doi:10.1016/j.elstat.2007.05.004.

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2007) "Mechanics of fullerenes oscillating in carbon nanotube bundles", Journal of Physics A: Mathematical and Theoretical, 40, (44), 13197-13208, doi:10.1088/1751-8113/40/44/001.

  • Hilder, T. A. and Hill, J. M. (2007) "Orbiting atoms and C60 fullerenes inside carbon nanotori", Journal of Applied Physics, 101, (6), 064319 (13pp), doi:10.1063/1.2511490.

  • Hilder, T. A. and Hill, J. M. (2007) "Oscillating carbon nanotori along carbon nanotubes", Physical Review B, 75, (12), 125415 (8pp), doi:10.1103/PhysRevB.75.125415.

  • Hilder, T. A. and Hill, J. M. (2007) "Continuous versus discrete for interacting carbon nanostructures", Journal of Physics A: Mathematical and Theoretical, 40, (14), 3851-3868, doi:10.1088/1751-8113/40/14/008.

  • Hilder, T. A. and Hill, J. M. (2007) "Modelling the encapsulation of the anticancer drug cisplatin into carbon nanotubes", Nanotechnology, 18, (27), 275704 (8pp), doi:10.1088/0957-4484/18/27/275704.

  • Hilder, T. A. and Hill, J. M. (2007) "Orbiting nanosectors inside carbon nanotori", Micro & Nano Letters, 2, (3), 50-53, doi:10.1049/mnl:20070046.

  • Hill, J. M., Padukka, N. and Dai, H-H. (2007) "Asymptotic axially symmetric deformations for perfectly elastic Neo-Hookean and Mooney materials", Journal of Elasticity, 86, (2), 113-137, doi:10.1007/s10659-006-9086-9.

  • Matthews, M. T. and Hill, J. M. (2007) "Nano boundary layer equation with nonlinear Navier boundary condition", Journal of Mathematical Analysis and Applications, 333, (1), 381-400, doi:10.1016/j.jmaa.2006.08.047.

  • Matthews, M. T. and Hill, J. M. (2007) "Newtonian flow with nonlinear Navier boundary condition", Acta Mechanica, 191, (3-4), 195-217, doi:10.1007/s00707-007-0454-8.

  • Matthews, M. T. and Hill, J. M. (2007) "Micro/nano thermal boundary layer equations with slip-creep-jump boundary conditions", IMA Journal of Applied Mathematics, 72, (6), 894-911, doi:10.1093/imamat/hxm051.

  • Thamwattana, N. and Hill, J. M. (2007) "Continuum modelling for carbon and boron nitride nanostructures", Journal of Physics: Condensed Matter, 19, (40), 406209 (16pp), doi:10.1088/0953-8984/19/40/406209.

  • Tillman, P. and Hill, J. M. (2007) "Determination of nanolayer thickness for a nanofluid", International Communications in Heat and Mass Transfer, 34, (4), 399-407, doi:10.1016/j.icheatmasstransfer.2007.01.011.

2006 Publications

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2006) "Maximising the electrorheological effect for bidisperse nanofluids from the electrostatic force between two particles", Rheologica Acta, 45, (6), 909-917, doi:10.1007/s00397-006-0084-4.

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2006) "Electric field-induced force between two identical uncharged spheres", Applied Physics Letters, 88, (15), 152903 (3pp), doi:10.1063/1.2185607.

  • Matthews, M. T. and Hill, J. M. (2006) "Flow around nanospheres and nanocylinders", Quarterly Journal of Mechanics and Applied Mathematics, 59, (2), 191-210, doi:10.1093/qjmam/hbj003.

  • Matthews, M. T. and Hill, J. M. (2006) "Micro/nano sliding plate problem with Navier boundary condition", Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 57, (5), 875-903, doi:10.1007/s00033-006-0067-4.

Conference Papers

  • Adisa, O. O., Cox, B. J. and Hill, J. M. (2012) "Modelling the adsorption of methane molecules into carbon nanotubes", Materials Science Forum, 700, 104-107, doi:10.4028/www.scientific.net/MSF.700.104 (Proceedings of AMN-5 Materials Science and Engineering, New Zealand).

  • Bunder, J. E. and Hill, J. M. (2012) "Modelling the Diffusive Growth of Carbon Fullerenes", Materials Science Forum, 700, 100-103, doi:10.4028/www.scientific.net/MSF.700.100 (Proceedings of AMN-5 Materials Science and Engineering, New Zealand).

  • Cox, B. J. (2012) "Forced Nano-Oscillators Comprising Double-Walled Nanotubes", Materials Science Forum, 700, 96-99, doi:10.4028/www.scientific.net/MSF.700.96 (Proceedings of AMN-5 Materials Science and Engineering, New Zealand).

  • Lee, R. K. F. and Hill, J. M. (2012) "Design parameters for a two-state nanomemory device", Materials Science Forum, 700, 85-88, doi:10.4028/www.scientific.net/MSF.700.85 (Proceedings of AMN-5 Materials Science and Engineering, New Zealand).

  • Baowan, D., Traimpo, W., Traimpo, D. and Hill, J. M., (2010) "Theoretical prediction for the encapsulation of TiO2 nanoparticles into carbon nanotubes", Proceedings of 2010 International Conference On Nanoscience and Nanotechnology, Sydney, 22-26 February 2010, pp. 62-65, doi:10.1109/ICONN.2010.6045177.

  • Baowan, D., Cox, B. J. and Hill, J. M. (2010) "Fast flow through nanotubes and tube blow-out", IUTAM Symposium on Surface Effects in the Mechanics of Nanomaterials and Hetrostructures, Peking University, Beijing, August 8-12, 2010, IUTAM Bookseries, Kluwer, to be published.

  • Lee, R. K. F., Cox, B. J. and Hill, J. M., (2010) "Geometric models of silicon nanotubes", Proceedings of 2010 International Conference On Nanoscience and Nanotechnology, Sydney, 22-26 February 2010, pp. 365-367, doi:10.1109/ICONN.2010.6045154.

  • Thornton, A., Hill, A. and Hill, J. M., (2010) "A mathematical investigation into nanoscale gas separation: Effects of pore size and temperature", Proceedings of 2010 International Conference On Nanoscience and Nanotechnology, Sydney, 22-26 February 2010, pp. 87-90, doi:10.1109/ICONN.2010.6045187.

  • Cox, B. J. and Hill, J. M., (2009) "Polyhedral model for boron nitride nanotubes", 4th Conference on Advanced Materials and Nanotechnology, 8-12 February, Dunedin, AIP Conference Proceedings, 1151, pp. 75-78, doi:10.1063/1.3203251.

  • Thamwattana, N., Cox, B. J. and Hill, J. M., (2009) "Mathematical modelling for nanotube bundle oscillators", 4th Conference on Advanced Materials and Nanotechnology, 8-12 February, Dunedin, AIP Conference Proceedings, 1151, pp. 177-180, doi:10.1063/1.3203231.

  • Rahmat, F., Cox, B. J., Thamwattana, N. and Hill, J. M. (2009) "Mechanics of co-axial carbon nanotubes", Proceeding: National symposium of Science and Mathematics, 17th, Malaysia.

  • Thamwattana, N., Baowan, D., Cox, B. J. and Hill, J. M. (2008) "Mechanics of fullerene-carbon nanotube bundle oscillators", Proceedings of the 3rd Canadian Conference on Nonlinear Solid Mechanics, 25-29 June, Toronto, Canada.

  • Baowan, D., Cox, B. J., Thamwattana, N. and Hill, J. M. (2008) "Two minimisation approximations for joining two carbon nanostructures", Proceedings of the IUTAM Symposium on Modelling Nanomaterials and Nanosystems, 19-22 May, Aalborg, Denmark.

  • Baowan, D., Cox, B. J. and Hill, J. M. (2008) "Joining a carbon nanotube and a graphene sheet", Proceedings of 2008 International Conference On Nanoscience and Nanotechnology, 25-29 February, Melbourne, Australia, pp. 5-8, doi:10.1109/ICONN.2008.4639231.

  • Chan, Y., Cox, G. M. and Hill, J. M. (2008) "A carbon atom orbiting around the outside of a carbon nanotube ", Proceedings of 2008 International Conference On Nanoscience and Nanotechnology, 25-29 February, Melbourne, Australia, pp. 152-155, doi:10.1109/ICONN.2008.4639269.

  • Thamwattana, N., Cox, B. J. and Hill, J. M. (2008) "Carbon molecules oscillating in carbon nanotube bundles", Proceedings of 2008 International Conference On Nanoscience and Nanotechnology, 25-29 February, Melbourne, Australia, pp. 230-233, doi:10.1109/ICONN.2008.4639289.

  • Hilder, T. A. and Hill, J. M. (2007) "Drug delivery using carbon nanotubes", Proceedings of the 3rd Shanghai International Nanotechnology Cooperation Symposium SINCS, 21-23 November, Shanghai, China, 333-338.

  • Baowan, D., Thamwattana, N. and Hill, J. M. (2007) "Mathematical modeling double-walled carbon nanotube oscillators: Gigahertz oscillatory behavior", Proceedings of ASIMMOD2007, 9-11 January, Chiang Mai, Thailand, pp. 169-175, PDF Download.

  • Tillman, P. and Hill, J. M. (2007) "Modelling the thermal conductivity of nanofluids", Y. Bai, Y. Wei & Q. Zheng in IUTAM Symposium on the Mechanical Behaviour and Micro-mechanics of Nanostructured Materials, June 27-30 2005, Beijing, P.R.China. Solid Mechanics and its applications, 144, (3), 105-118, doi:10.1007/978-1-4020-5624-6_11.

  • Baowan, D. and Hill, J. M. (2006) "Force distribution for double-walled carbon nanotubes", Proceedings of 2006 International Conference On Nanoscience and Nanotechnology, 3-7 July, Brisbane, Australia, pp.709-712, doi:10.1109/ICONN.2006.340709.

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2006) "Modelling the induced force of attraction in electrorheological nanofluids", Proceedings of 2006 International Conference On Nanoscience and Nanotechnology, 3-7 July, Brisbane, Australia, pp.709-712, doi:10.1109/ICONN.2006.340716.

  • Cox, B. J., Thamwattana, N. and Hill, J. M. (2006) "Mathematical modelling for a C60 carbon nanotube oscillator", Proceedings of 2006 International Conference On Nanoscience and Nanotechnology, 3-7 July, Brisbane, Australia, pp.80-83, doi:10.1109/ICONN.2006.340555.

  • Hilder, T. A. and Hill, J. M. (2006) "Orbiting buckyballs inside nanotori", Proceedings of 2006 International Conference On Nanoscience and Nanotechnology, 3-7 July, Brisbane, Australia, pp.657-660, doi:10.1109/ICONN.2006.340703.

  • Tillman, P. and Hill, J. M. (2006) "A new model for thermal conductivity in nanofluids", Proceedings of 2006 International Conference On Nanoscience and Nanotechnology, 3-7 July, Brisbane, Australia, pp.673-676, doi:10.1109/ICONN.2006.340707.

  • Wu, B., Tillman, P. and Hill, J. M. (2006) "Mathematical modelling of nanoparticle melting", Proceedings of 2006 International Conference On Nanoscience and Nanotechnology, 3-7 July, Brisbane, Australia, pp.661-664, doi:10.1109/ICONN.2006.340704.

  • Thamwattana, N. and Hill, J. M. (2005) "Mathematical modelling in nanotechnology", Proceedings of the International Conference in Mathematics and Applications, 15-17 December, Mahidol University, Thailand, pp. 1-17.

Other Publications

  • Thamwattana, N., Cox, B. J. and Hill, J. M. (2010) “Editorial: Special issue on mathematics and mechanics in nanotechnology,” Mathematics and Mechanics of Solids, 15, 707, doi:10.1177/1081286510375345.

  • Cox, B. J. and Hill, J. M. (2007) "A polyhedral model for carbon nanotubes," SPIE Newsroom, Published online July 2007, doi:10.1117/2.1200702.0806.

  • Australian Provisional Patent Application No. 2005905211, "Electrorheological Fluid" having certain characteristics. Filed 21-Sep-2005.

Research articles accepted for publication

  • Adisa, O. O., Cox, B. J. and Hill, J. M., "Open carbon nanocones as candidates for gas storage", Journal of Physical Chemistry C, accepted for publication (2011), doi:10.1021/jp2069094.

  • Baowan, D., Cox, B. J. and Hill, J. M., "Modeling the join curve between two co-axial carbon nanotubes", Zeitschrift für Angewandte Mathematik und Physik, accepted for publication (2011), doi:10.1007/s00033-011-0140-5.

  • Baowan, D., Cox, B. J. and Hill, J. M., "Instability of C60 fullerene interacting with lipid bilayer", Journal of Molecular Modeling, accepted for publication (2011), doi:10.1007/s00894-011-1086-4.

  • Cox, B. J. and Wagon, S., "Drilling for polygons", American Mathematical Monthly, accepted for publication (2011).

  • Cox, B. J., "Model and behaviour of forced double-walled nanotube oscillators", Dynamics of Continuous, Discrete and Impulsive Systems, accepted for publication (2011).

Research articles submitted for publication

  • Adisa, O. O., Cox, B. J. and Hill, J. M., "Carbon nanocones as candidates for gas storage", Journal of Physical Chemistry C, submitted for publication (2011).

  • Bunder, J. E. and Hill, J. M., "Magnetic ordering in short zigzag carbon nanotubes." Journal of Physics: Condensed Matter, submitted for publication (2009).

  • Chan, Y. and Hill, J. M., "Ion selectivity using membranes comprising functionalized carbon nanotubes", Journal of Physical Chemistry A, submitted for publication (2011).

  • Chan, Y. and Hill, J. M., "Seawater desalination using membranes comprising ultra-small radii carbon nanotubes", Desalination, submitted for publication (2011).

  • Chan, Y., Thamwattana, N. and Hill, J. M., "Carbon nanotubes as a nonlinear buckled beam for nanoelectromechanical systems", International Journal of Nanotechnology, submitted for publication (2010).

  • Konstas, K., Taylor, J. W., Thornton, A. W., Dohery, C. M., Lim, W. X., Bastow, T. J., Kennedy, D. F., Wood, C. D., Cox, B. J., Hill, J. M., Hill A. J. and Hill, M. R., "Lithiated Porous aromatic frameworks with exceptional gas storage capacity", Angewandte Chemie International Edition, submitted for publication (2011).

  • Lee, R. K. F. and Hill, J. M., "General formulae for interacting spherical nanoparticles and fullerenes", Journal of Mathematical Chemistry, submitted for publication (2011).

  • Lee, R. K. F. and Hill, J. M., "Composite multi-walled carbon nanotubes as memory devices and logic gates", Current Applied Physics, submitted for publication (2011).

  • Lee, R. K. F. and Hill, J. M., "Design of a nanotori-metallofullerene logic gate", IEEE Transactions on Computers, submitted for publication (2011).

  • Lee, R. K. F. and Hill, J. M., "Two possible experiments to confirm existence of fullerene-nanotube oscillators", Journal of Nanoparticle Research, submitted for publication (2011).

  • Thornton, A. W., Furman, S., Nairn, K. M., Hill, A. J., Hill, J. M. and Hill, M.R., "TIMTAM: A new gas adsorption model based on fundamental thermodynamic principles.", Langmuir, submitted for publication (2010).

  • Tran-Duc, T. and Thamwattana, N., "Carbon nanostructures for cleaning environmental pollutants: Applied mathematical modelling perspective", European Physical Journal B, submitted for publication (2010).
 
 

Copyright © 2008-2011 koonli.com. Designed by KoonLi Company (Webmaster)