Geodesic
Parallel calculation methods for statistical mechanics problems
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2009), pp. 167-175

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With the help of mathematical modeling, we study the behavior of a gas ($\sim10^6$ particles) in a one-dimensional tube. For this dynamical system, we consider the following cases: \item[–] collisionless gas in a tube with both ends closed, the particles of the gas bounce elastically between the ends, \item[–] collisionless gas in a tube with its left end vibrating harmonically in a prescribed manner, \item[–] collisionless gas in a tube with a moving piston, the piston's mass is comparable to the mass of a particle. The emphasis is on the analysis of the asymptotic ($t\rightarrow\infty$) behavior of the system and specifically on the transition to the state of statistical or thermal equilibrium. This analysis allows preliminary conclusions on the nature of relaxation processes.
Keywords: one-dimensional collisionless gas, statistical equilibrium, thermodynamical equilibrium, weak limit. 
@article{VUU_2009_4_a15,
     author = {I. S. Mamaev},
     title = {Parallel calculation methods for statistical mechanics problems},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {167--175},
     publisher = {mathdoc},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2009_4_a15/}
}
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I. S. Mamaev. Parallel calculation methods for statistical mechanics problems. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2009), pp. 167-175. http://geodesic.mathdoc.fr/item/VUU_2009_4_a15/