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arXiv · 1507.05898

Edwards thermodynamics for a driven athermal system with dry friction

Giacomo Gradenigo·Ezequiel E. Ferrero·Eric Bertin·Jean-Louis Barrat
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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.

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BibTeXRIS

Giacomo Gradenigo, Ezequiel E. Ferrero, Eric Bertin, Jean-Louis Barrat. 2015-07-21. Edwards thermodynamics for a driven athermal system with dry friction. https://doi.org/10.1103/physrevlett.115.140601

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