Correlations and critical behavior of the q-model
Disordered Systems and Neural Networks
2015-03-19 v2 Mesoscale and Nanoscale Physics
Statistical Mechanics
Abstract
The q-model is a random walk model used to describe the flow of stress in a stationary granular medium. Here we derive the exact horizontal and vertical correlation functions for the q-model in two dimensions. We show that close to a critical point identified in earlier work these correlation functions have a universal scaling form reminiscent of thermodynamic critical phenomena. We determine the form of the universal scaling function and the associated critical exponents and .
Keywords
Cite
@article{arxiv.1108.2917,
title = {Correlations and critical behavior of the q-model},
author = {Alexander V. St. John and Harsh Mathur},
journal= {arXiv preprint arXiv:1108.2917},
year = {2015}
}
Comments
6 pages, 1 figure