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100 1 _ |a Grassberger, Peter
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245 _ _ |a Self-Trapping Self-Repelling Random Walks
260 _ _ |a College Park, Md.
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520 _ _ |a Although 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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773 _ _ |a 10.1103/PhysRevLett.119.140601
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