| Issue |
EPL
Volume 90, Number 2, April 2010
|
|
|---|---|---|
| Article Number | 27008 | |
| Number of page(s) | 5 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/90/27008 | |
| Published online | 20 May 2010 | |
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: hiroki@jiro.c.u-tokyo.ac.jp
Received:
25
January
2010
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
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