TY  - JOUR
AU  - Grassberger, Peter
TI  - Self-Trapping Self-Repelling Random Walks
JO  - Physical review letters
VL  - 119
IS  - 14
SN  - 1079-7114
CY  - College Park, Md.
PB  - APS
M1  - FZJ-2017-07802
SP  - 140601
PY  - 2017
AB  - 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.
LB  - PUB:(DE-HGF)16
C6  - pmid:29053295
UR  - <Go to ISI:>//WOS:000412273000003
DO  - DOI:10.1103/PhysRevLett.119.140601
UR  - https://juser.fz-juelich.de/record/840249
ER  -