Volume 90, Number 2, April 2010
|Number of page(s)||5|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.