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@ARTICLE{Grassberger:840249,
      author       = {Grassberger, Peter},
      title        = {{S}elf-{T}rapping {S}elf-{R}epelling {R}andom {W}alks},
      journal      = {Physical review letters},
      volume       = {119},
      number       = {14},
      issn         = {1079-7114},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {FZJ-2017-07802},
      pages        = {140601},
      year         = {2017},
      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.},
      cin          = {JSC},
      ddc          = {550},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:29053295},
      UT           = {WOS:000412273000003},
      doi          = {10.1103/PhysRevLett.119.140601},
      url          = {https://juser.fz-juelich.de/record/840249},
}