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Large time off-equilibrium dynamics of a manifold in a random potential

Leticia F. Cugliandolo·Jorge Kurchan·Pierre Le Doussal
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Abstract

We study the out of equilibrium dynamics of an elastic manifold in a random potential using mean-field theory. We find two asymptotic time regimes: (i) stationary dynamics, (ii) slow aging dynamics with violation of equilibrium theorems. We obtain an analytical solution valid for all large times with universal scalings of two-time quantities with space. A non-analytic scaling function crosses over to ultrametricity when the correlations become long-range. We propose procedures to test numerically or experimentally the extent to which this scenario holds for a given system.

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Leticia F. Cugliandolo, Jorge Kurchan, Pierre Le Doussal. 1995-09-02. Large time off-equilibrium dynamics of a manifold in a random potential. https://doi.org/10.1103/physrevlett.76.2390

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