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arXiv · 0912.4790

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

Hiroki Ohta·Shin-ichi Sasa
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Abstract

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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BibTeXRIS

Hiroki Ohta, Shin-ichi Sasa. 2009-12-24. A universal form of slow dynamics in zero-temperature random-field Ising model. https://doi.org/10.1209/0295-5075%2F90%2F27008

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