A universal form of slow dynamics in zero-temperature random-field Ising model
Department of Pure and Applied Sciences University of Tokyo - 3-8-1 Komaba Meguro-ku, Tokyo 153-8902, Japan
Corresponding author: firstname.lastname@example.org
Accepted: 14 April 2010
The zero-temperature Glauber dynamics of the random-field Ising model describes various ubiquitous phenomena such as avalanches, hysteresis, and related critical phenomena. Here, for a model on a random graph with a special initial condition, we derive exactly an evolution equation for an order parameter. Through a bifurcation analysis of the obtained equation, we reveal a new class of cooperative slow dynamics with the determination of critical exponents.
PACS: 75.10.Nr – Spin-glass and other random models / 64.60.Ht – Dynamic critical phenomena / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
© EPLA, 2010