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Marconi UM, Puglisi A. Statistical mechanics of granular gases in compartmentalized systems. Phys Rev E Stat Nonlin Soft Matter Phys. 2003;68(3):031306doi: 10.1103/PhysRevE.68.031306.
Marconi, U. M., & Puglisi, A. (2003). Statistical mechanics of granular gases in compartmentalized systems. Physical review. E, Statistical, nonlinear, and soft matter physics, 68(3), 031306. https://doi.org/10.1103/PhysRevE.68.031306
Marconi, U Marini Bettolo, and Puglisi, A. "Statistical mechanics of granular gases in compartmentalized systems." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 68,3 (2003): 031306. doi: https://doi.org/10.1103/PhysRevE.68.031306
Marconi UM, Puglisi A. Statistical mechanics of granular gases in compartmentalized systems. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3):031306. doi: 10.1103/PhysRevE.68.031306. Epub 2003 Sep 22. PMID: 14524762.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3):031306. doi: 10.1103/PhysRevE.68.031306. Epub 2003 Sep 22.

Statistical mechanics of granular gases in compartmentalized systems.

Physical review. E, Statistical, nonlinear, and soft matter physics

U Marini Bettolo Marconi, A Puglisi

Affiliations

  1. Dipartimento di Fisica, Università di Camerino, Via Madonna delle Carceri, 62032 Camerino, Italy.

PMID: 14524762 DOI: 10.1103/PhysRevE.68.031306

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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