Critical fluctuations of time-dependent magnetization in a random-field Ising model

Abstract

Cooperative behaviors near the disorder-induced critical point in a random field Ising model are numerically investigated by analyzing time-dependent magnetization in ordering processes from a special initial condition. We find that the intensity of fluctuations of time-dependent magnetization, $\chi (t)$, attains a maximum value at a time $t=\tau$ in a normal phase and that $\chi (\tau )$ and $\tau$ exhibit divergences near the disorder-induced critical point. Furthermore, spin configurations around the time $\tau$ are characterized by a length scale, which also exhibits a divergence near the critical point. We estimate the critical exponents that characterize these power-law divergences by using a finite-size scaling method.

5 pages, 7 figures

References in corpus (4)

• Direct experimental evidence of a growing length scale accompanying the glass transition
• Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
• Lengthscale dependence of dynamic four-point susceptibilities in glass formers
• A theory for critically divergent fluctuations of dynamical events at non-ergodic transitions

Cited by in corpus (2)

• A universal form of slow dynamics in zero-temperature random-field Ising model
• Critical phenomena in globally coupled excitable elements