Scaling Relations For The CLG's Critical Exponents
Mathematical Physics
2025-11-12 v1 math.MP
Abstract
We consider, in any dimension, the constrained lattice gas introduced by Rossi et al., which is an exclusion process on a d-dimensional lattice following the additional constraint that only particles with at least one occupied neighbour can jump. In dimension d > 2, this model features self-organized criticality at some critical density of particles. Numerical simulations predict the existence of scaling exponents close to criticality, and several relations can be derived between these exponents. The goal of this article is to give a mathematical framework for these relations, which have been numerically established in a companion article.
Cite
@article{arxiv.2511.08074,
title = {Scaling Relations For The CLG's Critical Exponents},
author = {Clément Erignoux and Assaf Shapira and Marielle Simon},
journal= {arXiv preprint arXiv:2511.08074},
year = {2025}
}