Edwards Thermodynamics for a Driven Athermal System with Dry Friction
Abstract
We obtain, using semianalytical transfer operator techniques, the Edwards thermodynamics of a onedimensional 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.
 Publication:

Physical Review Letters
 Pub Date:
 October 2015
 DOI:
 10.1103/PhysRevLett.115.140601
 arXiv:
 arXiv:1507.05898
 Bibcode:
 2015PhRvL.115n0601G
 Keywords:

 05.20.y;
 05.70.a;
 64.60.De;
 83.80.Fg;
 Classical statistical mechanics;
 Thermodynamics;
 Statistical mechanics of model systems;
 Granular solids;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Soft Condensed Matter
 EPrint:
 5 pages, 3 figures and Supplementary Material (5 pages, 3 figures)