Journal Article

FZJ-2017-07802

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Self-Trapping Self-Repelling Random Walks

Grassberger, P. (Corresponding author)FZJ*

2017
APS College Park, Md.

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Please use a persistent id in citations: http://hdl.handle.net/2128/15985  doi:10.1103/PhysRevLett.119.140601

Abstract: 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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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)

Appears in the scientific report 2017

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Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF >= 5 ; JCR ; NCBI Molecular Biology Database ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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