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

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

2004-05-17

arxiv.org/abs/cond-mat/0405375v2

J. Phys. A: Math. Gen. 37, L407-L413 (2004)

Physics

Condensed Matter

Statistical Mechanics

Submitted to J. Phys. A (Letter to the editor)

Scientific paper

10.1088/0305-4470/37/32/L03

The 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.

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