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arXiv · 1302.5279

Rates for irreversible Gibbsian Ising models

Claude Godreche
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Abstract

Dynamics under which a system of Ising spins relaxes to a stationary state with Bolzmann-Gibbs measure and which do not fulfil the condition of detailed balance are irreversible and asymmetric. We revisit the problem of the determination of rates yielding such a stationary state for models with single-spin flip dynamics. We add some supplementary material to this study and confirm that Gibbsian irreversible Ising models exist for one and two-dimensional lattices but not for the three-dimensional cubic lattice. We also analyze asymmetric Gibbsian dynamics in the limit of infinite temperature. We finally revisit the case of a linear chain of spins under asymmetric conserved dynamics.

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Claude Godreche. 2013-11-27. Rates for irreversible Gibbsian Ising models. https://doi.org/10.1088/1742-5468%2F2013%2F05%2Fp05011

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