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Langevin dynamics of the Coulomb frustrated ferromagnet: a mode-coupling analysis

M. Grousson·V. Krakoviack·G. Tarjus·P. Viot
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Abstract

We study the Langevin dynamics of the soft-spin, continuum version of the Coulomb frustrated Ising ferromagnet. By using the dynamical mode-coupling approximation, supplemented by reasonable approximations for describing the equilibrium static correlation function, and the somewhat improved dynamical self-consistent screening approximation, we find that the system displays a transition from an ergodic to a non-ergodic behavior. This transition is similar to that obtained in the idealized mode-coupling theory of glassforming liquids and in the mean-field generalized spin glasses with one-step replica symmetry breaking. The significance of this result and the relation to the appearance of a complex free-energy landscape are also discussed.

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M. Grousson, V. Krakoviack, G. Tarjus, P. Viot. 2002-04-30. Langevin dynamics of the Coulomb frustrated ferromagnet: a mode-coupling analysis. https://doi.org/10.1103/physreve.66.026126

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