title: Edwards Thermodynamics for a Driven Athermal System with Dry Friction.
abstract: We obtain, using semianalytical 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.
authors.affiliation: Université Grenoble Alpes, LIPHY, F-38000 Grenoble, France and CNRS, LIPHY, F-38000 Grenoble, France.
authors.forename: Giacomo
authors.initials: G
authors.lastname: Gradenigo
authors.affiliation: Université Grenoble Alpes, LIPHY, F-38000 Grenoble, France and CNRS, LIPHY, F-38000 Grenoble, France.
authors.forename: Ezequiel E
authors.initials: EE
authors.lastname: Ferrero
authors.affiliation: Université Grenoble Alpes, LIPHY, F-38000 Grenoble, France and CNRS, LIPHY, F-38000 Grenoble, France.
authors.forename: Eric
authors.initials: E
authors.lastname: Bertin
authors.affiliation: Université Grenoble Alpes, LIPHY, F-38000 Grenoble, France and CNRS, LIPHY, F-38000 Grenoble, France.
authors.forename: Jean-Louis
authors.initials: JL
authors.lastname: Barrat