Rates for irreversible Gibbsian Ising models - Archive ouverte HAL Access content directly
Journal Articles Journal of Statistical Mechanics: Theory and Experiment Year : 2013

Rates for irreversible Gibbsian Ising models

(1)
1

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.
Fichier principal
Vignette du fichier
1302.5279.pdf (454.58 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

cea-01534824 , version 1 (08-06-2017)

Identifiers

Cite

Claude Godrèche. Rates for irreversible Gibbsian Ising models. Journal of Statistical Mechanics: Theory and Experiment, 2013, 2013, pp.P05011. ⟨10.1088/1742-5468/2013/05/P05011⟩. ⟨cea-01534824⟩
216 View
80 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More