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Freezing in stripe states for kinetic Ising models: a comparative study of three dynamics

Abstract : We present a comparative study of the fate of an Ising ferromagnet on the square lattice with periodic boundary conditions evolving under three different zero-temperature dynamics. The first one is Glauber dynamics, the two other dynamics correspond to two limits of the directed Ising model, defined by rules that break the full symmetry of the former, yet sharing the same Boltzmann-Gibbs distribution at stationarity. In one of these limits the directed Ising model is reversible, in the other one it is irreversible. For the kinetic Ising-Glauber model, several recent studies have demonstrated the role of critical percolation to predict the probabilities for the system to reach the ground state or to fall in a metastable state. We investigate to what extent the predictions coming from critical percolation still apply to the two other dynamics.
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Submitted on : Monday, February 12, 2018 - 2:46:26 PM
Last modification on : Tuesday, January 4, 2022 - 4:41:34 AM
Long-term archiving on: : Monday, May 7, 2018 - 7:46:55 AM


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  • HAL Id : cea-01707037, version 1
  • ARXIV : 1801.07749


Claude Godreche, Michel Pleimling. Freezing in stripe states for kinetic Ising models: a comparative study of three dynamics. 2018. ⟨cea-01707037⟩



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