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Research Publications
2008 Publications
| Baowan, D., Cox, B. J. and Hill, J. M. (2008) "Junctions between a boron nitride nanotube and a boron nitride sheet," Nanotechnology, 19, 075704 (12pp), doi:10.1088/0957-4484/19/7/075704. |
| Baowan, D. and Hill, J. M. (2008) "Equilibrium locations for nested carbon nanocones," Journal of Mathematical Chemistry, 43, 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, 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, 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, 195-217, doi:10.1504/IJNT.2008.016916. |
| 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, 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, 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, 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, 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, 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, 235209 (27pp), doi:10.1088/1751-8113/41/23/235209. |
| Hilder, T. A. and Hill, J. M. (2008) "Carbon nanotubes as drug delivery nanocapsules," Current Applied Physics, 8, 258-261, doi:10.1016/j.cap.2007.10.011. |
| Matthews, M. T. and Hill, J. M. (2008) "Nanofluidics and the Navier boundary condition," International Journal of Nanotechnology, 5, 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, 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, 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, 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, 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, 665-677, doi:10.1007/s11051-007-9300-0. |
| Thamwattana, N., McCoy, J. A. and Hill, J. M. "Energy density functions for protein structures," Quarterly Journal of Mechanics and Applied Mathematics, 61, 431-451, doi: 10.1093/qjmam/hbn012. |
| Thamwattana, N. and Hill, J. M. "Comment on "General equilibrium shape equations of polymer chains," Physical Review E, 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, 501-503, doi:10.1016/j.cap.2007.10.051. |
2007 Publications
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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, 2972-2980, doi:10.1016/j.carbon.2007.09.045.
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| 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, 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, 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, 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, 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, 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, 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, 10855-10860, doi:10.1021/jp0721402.html. |
| Cox, B. J. and Hill, J. M. (2007) "Exact and approximate geometric parameters for carbon nanotubes incorporating curvature," Carbon, 45, 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, 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, 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, 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, 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, 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, 064319, doi:10.1063/1.2511490. |
| Hilder, T. A. and Hill, J. M. (2007) "Oscillating carbon nanotori along carbon nanotubes," Physical Review B, 75, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 875-903, doi:10.1007/s00033-006-0067-4. |
Conference papers
| 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) "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 the International Conference on Nanoscience and Nanotechnology, 25-29 February, Melbourne, Australia. |
| Thamwattana, N., Cox, B. J. and Hill, J. M. (2008) "Carbon molecules oscillating in carbon nanotube bundles," Proceedings of the International Conference on Nanoscience and Nanotechnology, 25-29 February, Melbourne, Australia. |
| 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. |
| 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, 144 105-118. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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, 1-17. |
Other Publications
| 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
| Baowan, D., Cox, B. J. and Hill, J. M. "Toroidal molecules formed from three distinct carbon nanotubes," Journal of Mathematical Chemistry, accepted 23-Oct-2007, doi:10.1007/s10910-007-9325-8. |
| Hilder, T. A. and Hill, J. M. "Maximum velocity for a single water molecule entering a carbon nanotube," Journal of Nanoscience and Nanotechnology, accepted 2007. |
| Hilder, T. A. and Hill, J. M. "Modeling loading and unloading of drugs into nanotubes," Small, accepted 2-July-2008. |
| Matthews, M.T. and Hill, J.M. "Linear stability of flow through a nanotube," Journal of Applied Mathematics and Physics (ZAMP), accepted 2007. |
| Thamwattana, N., Baowan, D. and Hill J. M. "Continuum modeling for interactions between fullerenes and other carbon nanostructures," Journal of Computational and Theoretical Nanoscience, accepted 2008. |
| Wu, B., Tillman, P., McCue, S. W. and Hill, J. M. "Nanoparticle melting as a Stefan moving boundary problem," Journal of Nanoscience and Nanotechnolgy, accepted 2007. |
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