%0 Journal Article
%A Grassberger, Peter
%T Self-Trapping Self-Repelling Random Walks
%J Physical review letters
%V 119
%N 14
%@ 1079-7114
%C College Park, Md.
%I APS
%M FZJ-2017-07802
%P 140601
%D 2017
%X 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.
%F PUB:(DE-HGF)16
%9 Journal Article
%$ pmid:29053295
%U <Go to ISI:>//WOS:000412273000003
%R 10.1103/PhysRevLett.119.140601
%U https://juser.fz-juelich.de/record/840249