Universal dynamic scaling in three-dimensional Ising spin glasses
- Resource Type
- Working Paper
- Authors
- Liu, C. -W.; Polkovnikov, A.; Sandvik, A. W.; Young, A. P.
- Source
- Phys. Rev. E 92, 022128 (2015)
- Subject
- Condensed Matter - Disordered Systems and Neural Networks
Condensed Matter - Statistical Mechanics
- Language
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 $v$ (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 $v$ and the system size. The equilibrium limit does not have to be reached. For the dynamic exponent we obtain $z = 5.85(9)$ for bimodal couplings distribution and $z=6.00(10)$ for the Gaussian case, thus supporting universal dynamic scaling (in contrast to recent claims of non-universal behavior).
Comment: 5 pages, 2 figures