Edwards thermodynamics for a driven athermal system with dry friction

Abstract

We obtain, using semi-analytical transfer operator techniques, the Edwards thermodynamics of a one-dimensional model of blocks connected by harmonic springs and subjected to dry friction. The theory is able to reproduce the linear divergence of the correlation length as a function of energy density observed in direct numerical simulations of the model under tapping dynamics. We further characterize analytically this divergence using a Gaussian approximation for the distribution of mechanically stable configurations, and show that it is related to the existence of a peculiar infinite temperature critical point.

5 pages, 3 figures and Supplementary Material (5 pages, 3 figures)

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Cited by in corpus (4)

• Theoretical approaches to the steady-state statistical physics of interacting dissipative units
• Generalized Edwards thermodynamics and marginal stability in a driven system with dry and viscous friction
• Soil creep facilitated by cyclic variations of environmental conditions
• Statistical physics of frictional grains: some simple applications of Edwards statistics