Complete Solution of the Kinetics in a Far-from-equilibrium Ising Chain

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dc.creatorMobilia, M.
dc.creatorZia, R. K. P.
dc.creatorSchmittmann, B.
dc.date2004-05-17
dc.date2004-05-17
dc.date.accessioned2026-07-07T02:58:12Z
dc.date.available2026-07-07T02:58:12Z
dc.descriptionThe one-dimensional Ising model is easily generalized to a \textit{genuinely nonequilibrium} system by coupling alternating spins to two thermal baths at different temperatures. Here, we investigate the full time dependence of this system. In particular, we obtain the evolution of the magnetisation, starting with arbitrary initial conditions. For slightly less general initial conditions, we compute the time dependence of all correlation functions, and so, the probability distribution. Novel properties, such as oscillatory decays into the steady state, are presented. Finally, we comment on the relationship to a reaction-diffusion model with pair annihilation and creation.
dc.descriptionSubmitted to J. Phys. A (Letter to the editor)
dc.identifierhttps://arxiv.org/abs/cond-mat/0405375
dc.identifierhttp://arxiv.org/abs/cond-mat/0405375
dc.identifierJ. Phys. A: Math. Gen. 37, L407-L413 (2004)
dc.identifierdoi:10.1088/0305-4470/37/32/L03
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23981
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleComplete Solution of the Kinetics in a Far-from-equilibrium Ising Chain
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