This title appears in the Scientific Report :
2017
Please use the identifier:
http://hdl.handle.net/2128/15985 in citations.
Please use the identifier: http://dx.doi.org/10.1103/PhysRevLett.119.140601 in citations.
Self-Trapping Self-Repelling Random Walks
Self-Trapping Self-Repelling Random Walks
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 va...
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Personal Name(s): | Grassberger, Peter (Corresponding author) |
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Contributing Institute: |
Jülich Supercomputing Center; JSC |
Published in: | Physical review letters, 119 (2017) 14, S. 140601 |
Imprint: |
College Park, Md.
APS
2017
|
DOI: |
10.1103/PhysRevLett.119.140601 |
PubMed ID: |
29053295 |
Document Type: |
Journal Article |
Research Program: |
Computational Science and Mathematical Methods |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1103/PhysRevLett.119.140601 in citations.
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. |