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Updated: Jul 19, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Statistical mechanics of granular gases in compartmentalized systems
U Marini Bettolo Marconi1, A Puglisi
1Dipartimento di Fisica, Università di Camerino, Via Madonna delle Carceri, 62032 Camerino, Italy.
Abstract:
We study the behavior of an assembly of N granular particles contained in two compartments within a simple kinetic approach. The particles belonging to each compartment collide inelastically with each other and are driven by a stochastic heat bath. In addition, the fastest particles can change compartment at a rate that depends on their kinetic energy. Via a Boltzmann velocity distribution approach, we first study the dynamics of the model in terms of a coupled set of equations for the populations in the containers and their granular temperatures and find a crossover from a symmetric high-temperature phase to an asymmetric low-temperature phase. Finally, in order to include statistical fluctuations, we solve the model within the direct simulation Monte Carlo approach. Comparisons with previous studies are presented.
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