Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2011-08-15
Physics
Condensed Matter
Disordered Systems and Neural Networks
6 pages, 1 figure
Scientific paper
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 $\nu$ and $z$.
John Alexander V. St.
Mathur Harsh
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