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

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Feb;77(2 Pt 1):021119. doi: 10.1103/PhysRevE.77.021119. Epub 2008 Feb 21.


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.