MOLECULAR DYNAMICS, SMOOTH PARTICLE APPLIED MECHANICS, AND CLAUSIUS’ INEQUALITY
University of California at Davis/Livermore and Lawrence Livermore National Laboratory
Livermore, California 94551-7808 USA 510-422-9787
(hoover@wente. llnl.gov)
DOI: 10.12921/cmst.1997.03.01.19-23
OAI: oai:lib.psnc.pl:479
Abstract:
Recent developments in molecular dynamics furnish new interconnections among three classical fields: particle mechanics, continuum mechanics, and thermodynamics. The resulting links clarify the importance of Lyapunov instability to irreversibility.
References:
[1] W. Muschik, Am. J. Phys. 58, 241 (1990).
[2] P. Van and W. Muschik, Phys. Rev. E 52, 3584 (1995).
[3] J. J. Monaghan, Ann. Rev. Astron. and Astrophys. 30, 542 (1992).
[4] O. Kum, H. A. Posch, and W. G. Hoover, Phys. Rev. E 52, 1711, 4899 (1995).
[5] W. G. Hoover, Phys. Letts. A 204, 133 (1995).
[6] W. G. Hoover, Computational Statistical Mechanics (Elsevier, Amsterdam, 1991.
[7] D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids
(Academic, New York, 1990). See also the reviews of Hoover and Evans in the Proceedings
of StatPhys 18, published as volume 194 of Physica A (1993).
[8] S.Nosé, J. Chem. Phys. 81,511 (1984).
[9] W. G. Hoover and H. A. Posch, Phys. Rev. E 49, 1913 (1994).
Recent developments in molecular dynamics furnish new interconnections among three classical fields: particle mechanics, continuum mechanics, and thermodynamics. The resulting links clarify the importance of Lyapunov instability to irreversibility.
[1] W. Muschik, Am. J. Phys. 58, 241 (1990).
[2] P. Van and W. Muschik, Phys. Rev. E 52, 3584 (1995).
[3] J. J. Monaghan, Ann. Rev. Astron. and Astrophys. 30, 542 (1992).
[4] O. Kum, H. A. Posch, and W. G. Hoover, Phys. Rev. E 52, 1711, 4899 (1995).
[5] W. G. Hoover, Phys. Letts. A 204, 133 (1995).
[6] W. G. Hoover, Computational Statistical Mechanics (Elsevier, Amsterdam, 1991.
[7] D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids
(Academic, New York, 1990). See also the reviews of Hoover and Evans in the Proceedings
of StatPhys 18, published as volume 194 of Physica A (1993).
[8] S.Nosé, J. Chem. Phys. 81,511 (1984).
[9] W. G. Hoover and H. A. Posch, Phys. Rev. E 49, 1913 (1994).
