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Self-quenched dynamics |
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| Authors: | J Török S Krishnamurthy J Kertész S Roux |
| Institution: | (1) Department of Theoretical Physics, Institute of Physics, Budapest University of Technology, Budafoki út 8, Budapest, 1111, Hungary, HU;(2) Department of Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, UK, GB;(3) Surface du Verre et Interfaces, UMR CNRS/Saint-Gobain, 39 Quai Lucien Lefranc, 93303 Aubervilliers Cedex, France, FR |
| 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 , where 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. Received 8 August 2000 |
| Keywords: | PACS 05 40 Fb Random walks and Levy flights - 05 65 +b Self-organized systems - 05 50 +q Lattice theory and statistics (Ising Potts etc ) |
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