Second-order dynamic transition in a p=2 spin-glass model
Disordered Systems and Neural Networks
2013-05-29 v1 Statistical Mechanics
Abstract
We consider the dynamics of a disordered p-spin model with p=2, analyzing the dynamics within Ruelle's thermodynamic formalism, We use an indicator of the dynamical activity to construct the relevant dynamical Gibbs ensemble. We prove that the dynamics in the low-temperature (spin glass) phase of the model take place at a second-order phase transition between dynamically active and inactive trajectories. We also show that the same behaviour is found in a related model of a three-dimensional ferromagnet.
Keywords
Cite
@article{arxiv.0905.4878,
title = {Second-order dynamic transition in a p=2 spin-glass model},
author = {Kristina Van Duijvendijk and Robert L. Jack and Frédéric Van Wijland},
journal= {arXiv preprint arXiv:0905.4878},
year = {2013}
}