Self-Quenched Dynamics

Details Self-Quenched Dynamics Self-Quenched Dynamics

2000-04-13

arxiv.org/abs/cond-mat/0004218v2

Physics

Condensed Matter

Statistical Mechanics

svjour,epj 5 pages including 4 figures

Scientific paper

We introduce a model for the slow relaxation of an energy landscape caused by its local interaction with a random walker whose motion is dictated by the landscape itself. By choosing relevant measures of time and potential this self-quenched dynamics can be mapped on to the ``True'' Self-Avoiding Walk model. This correspondence reveals that the average distance of the walker at time $t$ from its starting point is $R(t)\sim\log(t)^\gamma$, where $\gamma=2/3$ for one dimension and 1/2 for all higher dimensions. Furthermore, the evolution of the landscape is similar to that in growth models with extremal dynamics.

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