Replica Field Theory of the Dynamical Transition in Glassy Systems
Statistical Mechanics
2011-05-27 v1 Disordered Systems and Neural Networks
Abstract
The critical behaviour of the dynamical transition of glassy system is controlled by a Replica Symmetric action with n=1 replicas. The most divergent diagrams in the loop expansion correspond at all orders to the solutions of a stochastic equation leading to perturbative dimensional reduction. The theory describe accurately numerical simulations of mean-field models.
Keywords
Cite
@article{arxiv.1105.5230,
title = {Replica Field Theory of the Dynamical Transition in Glassy Systems},
author = {Silvio Franz and Giorgio Parisi and Federico Ricci-Tersenghi and Tommaso Rizzo},
journal= {arXiv preprint arXiv:1105.5230},
year = {2011}
}
Comments
4 pages, 3 figures