Special Issue — Proceedings of a Workshop on the Nonlinear Dynamics of Many Body SystemsNo Access

Long-term behavior of Hertzian chains between fixed walls is really equilibrium

Michelle Przedborski

Department of Physics, Brock University, 1812 Sir Isaac Brock Way, St. Catharines, Ontario L2S 3A1, Canada

E-mail Address: mp06lj@brocku.ca

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Surajit Sen

Department of Physics, State University of New York, Buffalo, New York 14260-1500, USA

E-mail Address: sen@buffalo.edu

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, and

Thad A. Harroun

Department of Physics, Brock University, 1812 Sir Isaac Brock Way, St. Catharines, Ontario L2S 3A1, Canada

E-mail Address: thad.harroun@brocku.ca

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https://doi.org/10.1142/S0217979217420115Cited by:2 (Source: Crossref)

Abstract

We examine the long-term behavior of nonintegrable, energy-conserved, 1D systems of macroscopic grains interacting via a contact-only generalized Hertz potential and held between stationary walls. Existing dynamical studies showed the absence of energy equipartitioning in such systems, hence their long-term dynamics was described as quasi-equilibrium. Here, we show that these systems do in fact reach thermal equilibrium at sufficiently long times, as indicated by the calculated heat capacity. This phase is described by equilibrium statistical mechanics, opening up the possibility that the machinery of nonequilibrium statistical mechanics may be used to understand the behavior of these systems away from equilibrium.

Keywords:

PACS: 45.70.-n, 45.50.-j, 05.20.-y

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