Chaos and Universality in a Four-Dimensional Spin Glass

Details Chaos and Universality in a Four-Dimensional Spin Glass Chaos and Universality in a Four-Dimensional Spin Glass

1997-07-16

arxiv.org/abs/cond-mat/9707172v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, including 6 postscript figures. Latex with revtex macros

Scientific paper

10.1103/PhysRevB.57.492

We present a finite size scaling analysis of Monte Carlo simulation results on a four dimensional Ising spin glass. We study chaos with both coupling and temperature perturbations, and find the same chaos exponent in each case. Chaos is investigated both at the critical temperature and below where it seems to be more efficient (larger exponent). Dimension four seems to be above the critical dimension where chaos with temperature is no more present in the critical region. Our results are consistent with the Gaussian and bimodal coupling distributions being in the same universality class.

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