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000840249 1001_ $$0P:(DE-Juel1)136887$$aGrassberger, Peter$$b0$$eCorresponding author$$ufzj
000840249 245__ $$aSelf-Trapping Self-Repelling Random Walks
000840249 260__ $$aCollege Park, Md.$$bAPS$$c2017
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000840249 520__ $$aAlthough the title seems self-contradictory, it does not contain a misprint. The model we study is aseemingly minor modification of the “true self-avoiding walk” model of Amit, Parisi, and Peliti in twodimensions. The walks in it are self-repelling up to a characteristic time T* (which depends on variousparameters), but spontaneously (i.e., without changing any control parameter) become self-trapping afterthat. For free walks, T* is astronomically large, but on finite lattices the transition is easily observable. Inthe self-trapped regime, walks are subdiffusive and intermittent, spending longer and longer times in smallareas until they escape and move rapidly to a new area. In spite of this, these walks are extremely efficient incovering finite lattices, as measured by average cover times.
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