A universal form of slow dynamics in zero-temperature random-field Ising model
Statistical Mechanics
2015-05-14 v1 Disordered Systems and Neural Networks
Abstract
The zero-temperature Glauber dynamics of the random-field Ising model describes various ubiquitous phenomena such as avalanches, hysteresis, and related critical phenomena. Here, for a model on a random graph with a special initial condition, we derive exactly an evolution equation for an order parameter. Through a bifurcation analysis of the obtained equation, we reveal a new class of cooperative slow dynamics with the determination of critical exponents.
Cite
@article{arxiv.0912.4790,
title = {A universal form of slow dynamics in zero-temperature random-field Ising model},
author = {Hiroki Ohta and Shin-ichi Sasa},
journal= {arXiv preprint arXiv:0912.4790},
year = {2015}
}
Comments
4 pages, 2 figures