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

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.

preprint2009arXivOpen access
Hiroki OhtaShin-ichi Sasa
cond-mat.stat-mechcond-mat.dis-nn
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Hiroki OhtaShin-ichi Sasa

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