Single-spin-flip dynamics of the Ising chain

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 station...

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Bibliographic Details
Published in:Journal of statistical mechanics 2015-05, Vol.2015 (5), p.P05033
Main Authors: Godrèche, C, Luck, J M
Format: Article
Language:English
Subjects:
Physics
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Summary: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 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.
ISSN:1742-5468
0022-4715
1742-5468
1572-9613
DOI:10.1088/1742-5468/2015/05/P05033