2014/01/17 by Giorgio Parisi, Parisi, Giorgio · 1 citation
Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.1401.4413
10 pages, 5 figures
arxiv created 2014/01/17 · arxiv updated 2014/01/20
In this paper we consider different models for soft modes in jammed hard spheres. We show how one can construct mean field models that can be solved analytically. The analytic solution of these models displays an excess of low energy soft modes that become more and more localized by decreasing the energy. A simple solution of these models is found in the infinite dimensional limit.