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Journal Articles Journal of Statistical Physics Year : 2015

Single-spin-flip dynamics of the Ising chain

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Abstract

We consider the most general single-spin-flip dynamics for the ferromagnetic Ising chain with nearest-neighbour influence and spin reversal symmetry. This dynamics is a two-parameter extension of Glauber dynamics corresponding respectively to non-linearity and irreversibility. The associated stationary state measure is given by the usual Boltzmann-Gibbs distribution for the ferromagnetic Hamiltonian of the chain. We study the properties of this dynamics both at infinite and at finite temperature, all over its parameter space, with particular emphasis on special lines and points.

Dates and versions

cea-01137660 , version 1 (31-03-2015)

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C. Godreche, J. -M. Luck. Single-spin-flip dynamics of the Ising chain. Journal of Statistical Physics, 2015, 2015, pp.P05033. ⟨10.1088/1742-5468/2015/05/P05033 2⟩. ⟨cea-01137660⟩
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