Self-Quenched Dynamics
نویسندگان
چکیده
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) ∼ 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. PACS. 05.40.Fb Random walks and Levy flights – 05.65.+b Self-organized systems – 05.50.+q Lattice theory and statistics
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تاریخ انتشار 2008