The Renormalization Group for Disordered Systems
Disordered Systems and Neural Networks
2015-04-02 v1 Statistical Mechanics
Abstract
In this thesis we investigate the Renormalization Group (RG) approach in finite-dimensional glassy systems, whose critical features are still not well-established, or simply unknown. We focus on spin and structural-glass models built on hierarchical lattices, which are the simplest non-mean-field systems where the RG framework emerges in a natural way. The resulting critical properties shed light on the critical behavior of spin and structural glasses beyond mean field, and suggest future directions for understanding the criticality of more realistic glassy systems.
Cite
@article{arxiv.1307.6891,
title = {The Renormalization Group for Disordered Systems},
author = {Michele Castellana},
journal= {arXiv preprint arXiv:1307.6891},
year = {2015}
}
Comments
Castellana, M. (2014). The renormalization group for disordered systems. Rome: Sapienza Universita Editrice