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Fluctuating loops and glassy dynamics of a pinned line in two dimensions

Anders B. Eriksson·Jari M. Kinaret·Lev V. Mikheev
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Abstract

We represent the slow, glassy equilibrium dynamics of a line in a two-dimensional random potential landscape as driven by an array of asymptotically independent two-state systems, or loops, fluctuating on all length scales. The assumption of independence enables a fairly complete analytic description. We obtain good agreement with Monte Carlo simulations when the free energy barriers separating the two sides of a loop of size L are drawn from a distribution whose width and mean scale as L^(1/3), in agreement with recent results for scaling of such barriers.

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Anders B. Eriksson, Jari M. Kinaret, Lev V. Mikheev. 1995-12-06. Fluctuating loops and glassy dynamics of a pinned line in two dimensions. https://doi.org/10.1103/physrevb.54.2984

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