Abstract
We simulate the far-from-equilibrium irreversible expansion of a compressed ideal gas in two space dimensions. For this problem the particle trajectories from conventional smooth particle applied mechanics are isomorphic to those from a corresponding molecular dynamics simulation. The smooth-particle “weight function” used to describe the expanding gas is identical to the pair potential governing the molecular dynamics simulation. These many-body particle simulations are compared with those using a modified smooth-particle algorithm invented by Monaghan, as well as with those based on conventional grid-based Eulerian and Lagrangian methods.
Similar content being viewed by others
REFERENCES
Wm. G. Hoover, Liouville's theorems, Gibbs' entropy, and multifractal distributions for nonequilibrium steady states, J. Chem. Phys. 109:4164–4170 (1998).
Wm. G. Hoover and H. A. Posch, Entropy increase in confined free expansions via molecular dynamics and smooth-particle applied mechanics, Phys. Rev. E 59:1770–1776 (1999).
J. J. Monaghan, On the problem of penetration in particle methods, J. Comput. Phys. 82:1–15 (1989).
L. Lucy, A numerical approach to the testing of the fission hypothesis, Astron. J. 82:1013–1024 (1977).
J. J. Monaghan, Smoothed particle hydrodynamics, Ann. Rev. Astron. Astrophys. 30:543–574 (1992).
Wm. G. Hoover, C. G. Hoover, O. Kum, V. M. Castillo, H. A. Posch, and S. Hess, Smooth particle applied mechanics, Computational Methods in Science and Technology 2:65–72 (1996).
V. M. Castillo, Wm. G. Hoover, and C. G. Hoover, Coexisting attractors in compressible Rayleigh-Bénard flow, Phys. Rev. E 55:5546–5550 (1997).
M. Mareschal and E. Kestmont, Experimental evidence for convective rolls in finite two-dimensional molecular models, Nature 329:427–428 (1987).
O. Kum, Wm. G. Hoover, and H. A. Posch, Viscous conducting flows with smooth-particle applied mechanics, Phys. Rev. E 52:4899–4908 (1995).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hoover, W.G., Posch, H.A., Castillo, V.M. et al. Computer Simulation of Irreversible Expansions via Molecular Dynamics, Smooth Particle Applied Mechanics, Eulerian, and Lagrangian Continuum Mechanics. Journal of Statistical Physics 100, 313–326 (2000). https://doi.org/10.1023/A:1018656132065
Issue Date:
DOI: https://doi.org/10.1023/A:1018656132065