A universal form of slow dynamics in zero-temperature random-field Ising model

Details A universal form of slow dynamics in zero-temperature random-field Ising model A universal form of slow dynamics in zero-temperature random-field Ising model

2009-12-24

arxiv.org/abs/0912.4790v1

Europhys. Lett. 90, 27008 (2010)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

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.

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