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100 | 1 | _ | |a Grassberger, Peter |0 P:(DE-Juel1)136887 |b 0 |e Corresponding author |u fzj |
245 | _ | _ | |a Self-Trapping Self-Repelling Random Walks |
260 | _ | _ | |a College Park, Md. |c 2017 |b APS |
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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 |g Vol. 119, no. 14, p. 140601 |0 PERI:(DE-600)1472655-5 |n 14 |p 140601 |t Physical review letters |v 119 |y 2017 |x 1079-7114 |
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