An outstanding question in the physics of jammed packings concerns the nature of the correlations that arise near the unjamming transition. In this work, we study unjamming in an assembly of frictionless grains that are hard but not infinitely rigid. We demonstrate that a static correlation function, which probes sensitivity to boundary conditions, exhibits a diverging correlation length as the packing is decompressed. An analytical expression for the length scale divergence is obtained from a scaling relation of the entropy, and shown to have logarithmic corrections to mean-field results.
Exact mean field inference in asymmetric kinetic Ising systems
M. Mezard;
2011
Abstract
An outstanding question in the physics of jammed packings concerns the nature of the correlations that arise near the unjamming transition. In this work, we study unjamming in an assembly of frictionless grains that are hard but not infinitely rigid. We demonstrate that a static correlation function, which probes sensitivity to boundary conditions, exhibits a diverging correlation length as the packing is decompressed. An analytical expression for the length scale divergence is obtained from a scaling relation of the entropy, and shown to have logarithmic corrections to mean-field results.
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