Parallel calculation methods for statistical mechanics problems

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.