Computational Physics with Particles – Nonequilibrium Molecular Dynamics and Smooth Particle Applied Mechanics
Ruby Valley Research Institute
Highway Contract 60, Box 598, Ruby Valley 89833, NV USA
Received:
Rec. August 26, 2007
DOI: 10.12921/cmst.2007.13.02.83-93
OAI: oai:lib.psnc.pl:638
Abstract:
Microscopic and macroscopic particle-simulation methods can both be applied to interesting nonequilibrium problems. Here I develop and discuss the ordinary differential equations underlying these two approaches and illustrate them with applications of interest to statistical mechanics and computational fluid mechanics.
Key words:
References:
[1] Wm. G. Hoover, Molecular Dynamics (Springer-Verlag, Berlin, 1986, available at the homepage http://williamhoover.info/MD.pdf).
[2] Wm. G. Hoover, Computational Statistical Mechanics (Elsevier, Amsterdam, 1991, available at the homepage http://williamhoover.info/book.pdf).
[3] Wm. G. Hoover, Smooth Particle Applied Mechanics – The State of the Art (World Scientific Publishers, Singapore, 2006, available from the publisher at the publisher’s site http://www.worldscibooks.com/mathematics/6218.html).
[4] L. B. Lucy, A Numerical Approach to the Testing of the Fission Hypothesis, The Astronomical Journal 82, 1013 (1977).
[5] R. A. Gingold and J. J. Monaghan, Smoothed Particle Hydrodynamics: Theory and Application to Nonspherical Stars, Monthly Notices of the Royal Astronomical Society 181, 375-389 (1977).
[6] W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes, the Art of Scientific Computing (Cambridge University Press, London, 1986).
[7] Wm. G. Hoover and H. A. Posch, Entropy Increase in Confined Free Expansions via Molecular Dynamics and Smooth Particle Applied Mechanics, Physical Review E 59, 1770-1776 (1999).
[8] O. Kum, Wm. G. Hoover and C. G. Hoover, Smooth-Particle Boundary Conditions, Physical Review E 68, 017701 (2003).
Microscopic and macroscopic particle-simulation methods can both be applied to interesting nonequilibrium problems. Here I develop and discuss the ordinary differential equations underlying these two approaches and illustrate them with applications of interest to statistical mechanics and computational fluid mechanics.
Key words:
References:
[1] Wm. G. Hoover, Molecular Dynamics (Springer-Verlag, Berlin, 1986, available at the homepage http://williamhoover.info/MD.pdf).
[2] Wm. G. Hoover, Computational Statistical Mechanics (Elsevier, Amsterdam, 1991, available at the homepage http://williamhoover.info/book.pdf).
[3] Wm. G. Hoover, Smooth Particle Applied Mechanics – The State of the Art (World Scientific Publishers, Singapore, 2006, available from the publisher at the publisher’s site http://www.worldscibooks.com/mathematics/6218.html).
[4] L. B. Lucy, A Numerical Approach to the Testing of the Fission Hypothesis, The Astronomical Journal 82, 1013 (1977).
[5] R. A. Gingold and J. J. Monaghan, Smoothed Particle Hydrodynamics: Theory and Application to Nonspherical Stars, Monthly Notices of the Royal Astronomical Society 181, 375-389 (1977).
[6] W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes, the Art of Scientific Computing (Cambridge University Press, London, 1986).
[7] Wm. G. Hoover and H. A. Posch, Entropy Increase in Confined Free Expansions via Molecular Dynamics and Smooth Particle Applied Mechanics, Physical Review E 59, 1770-1776 (1999).
[8] O. Kum, Wm. G. Hoover and C. G. Hoover, Smooth-Particle Boundary Conditions, Physical Review E 68, 017701 (2003).
