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Article Dans Une Revue Physical Review Letters Année : 2023

Nonequilibrium Phase Transition To Temporal Oscillations In Mean-Field Spin Models

Résumé

We propose a mean-field theory to describe the nonequilibrium phase transition to a spontaneously oscillating state in spin models. A nonequilibrium generalization of the Landau free energy is obtained from the joint distribution of the magnetization and its smoothed stochastic time derivative. The order parameter of the transition is a Hamiltonian, whose nonzero value signals the onset of oscillations. The Hamiltonian and the nonequilibrium Landau free energy are determined explicitly from the stochastic spin dynamics. The oscillating phase is also characterized by a non-trivial overlap distribution reminiscent of a continuous replica symmetry breaking, in spite of the absence of disorder. An illustration is given on an explicit kinetic mean-field spin model.
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Dates et versions

hal-04281578 , version 1 (13-11-2023)

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Laura Guislain, Eric Bertin. Nonequilibrium Phase Transition To Temporal Oscillations In Mean-Field Spin Models. Physical Review Letters, 2023, 130 (20), pp.207102. ⟨10.1103/PhysRevLett.130.207102⟩. ⟨hal-04281578⟩

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