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

Preprint

2 September 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9509009

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.

Keywords

EQUILIBRIUM DYNAMICS
ANALYTICAL SOLUTION
STATIONARY DYNAMICS
RANDOM POTENTIAL
ASYMPTOTIC TIME
LARGE TIMES
SLOW AGING
MANIFOLD

All Related Versions

Version 1, 1995-09-02, ArXiv
Published version: Physical Review Letters, 76 (13), 2390.

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