Journal article

Self-avoiding random walk with multiple site weightings and restrictions

J Krawczyk, T Prellberg, AL Owczarek, A Rechnitzer

PHYSICAL REVIEW LETTERS | AMERICAN PHYSICAL SOC | Published : 2006

Abstract

We introduce a new class of models for polymer collapse, given by random walks on regular lattices which are weighted according to multiple site visits. A Boltzmann weight omegal is assigned to each (l+1)-fold visited lattice site, and self-avoidance is incorporated by restricting to a maximal number K of visits to any site via setting omegal=0 for l>or=K. In this Letter we study this model on the square and simple cubic lattices for the case K=3. Moreover, we consider a variant of this model, in which we forbid immediate self-reversal of the random walk. We perform simulations for random walks up to n=1024 steps using FlatPERM, a flat histogram stochastic growth algorithm. We find evidence ..

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