Chaos and universality in two-dimensional Ising spin glasses

Details Chaos and universality in two-dimensional Ising spin glasses Chaos and universality in two-dimensional Ising spin glasses

2010-12-15

arxiv.org/abs/1012.3444v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 figures

Scientific paper

Recently extended precise numerical methods and droplet scaling arguments allow for a coherent picture of the glassy states of two-dimensional Ising spin glasses to be assembled. The length scale at which entropy becomes important and produces "chaos", the extreme sensitivity of the state to temperature, is found to depend on the type of randomness. For the $\pm J$ model this length scale dominates the low-temperature specific heat. Although there is a type of universality, some critical exponents do depend on the distribution of disorder.

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