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Self-Quenched Dynamics

Janos Torok·Supriya Krishnamurthy·Janos Kertesz·Stephane Roux
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Abstract

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 $R(t)\sim\log(t)^γ$, where $γ=2/3$ 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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Janos Torok, Supriya Krishnamurthy, Janos Kertesz, Stephane Roux. 2000-08-08. Self-Quenched Dynamics. https://doi.org/10.1007/s100510070017

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