English

Universal dynamic scaling in three-dimensional Ising spin glasses

Disordered Systems and Neural Networks 2015-08-26 v1 Statistical Mechanics

Abstract

We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity vv (temperature change versus time) in Monte Carlo simulations starting at a high temperature. The normally problematic critical slowing-down is not hampering this kind of approach, since the system equilibrates quickly at the initial temperature and the slowing-down is merely reflected in the dynamic scaling of the non-equilibrium order parameter with vv and the system size. The equilibrium limit does not have to be reached. For the dynamic exponent we obtain z=5.85(9)z = 5.85(9) for bimodal couplings distribution and z=6.00(10)z=6.00(10) for the Gaussian case, thus supporting universal dynamic scaling (in contrast to recent claims of non-universal behavior).

Keywords

Cite

@article{arxiv.1411.6745,
  title  = {Universal dynamic scaling in three-dimensional Ising spin glasses},
  author = {C. -W. Liu and A. Polkovnikov and A. W. Sandvik and A. P. Young},
  journal= {arXiv preprint arXiv:1411.6745},
  year   = {2015}
}

Comments

5 pages, 2 figures

R2 v1 2026-06-22T07:11:04.892Z