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• W2000574774 abstract "This paper presents a new approach to study the statistics of lattice random walks in the presence of obstacles and local self-avoidance constraints (excluded volume). By excluding sequentially local interactions within a window that slides along the chain, we obtain an upper bound on the number of self-avoiding walks (SAWs) that terminate at each possible position and orientation. Furthermore we develop a technique to include the effects of obstacles. Thus our model is a more realistic approximation of a polymer chain than that of a simple lattice random walk, and it is more computationally tractable than enumeration of obstacle-avoiding SAWs. Our approach is based on the method of the lattice-motion-group convolution. We develop these techniques theoretically and present numerical results for 2-D and 3-D lattices (square, hexagonal, cubic and tetrahedral/diamond). We present numerical results that show how the connectivity constant mu changes with the length of each self-avoiding window and the total length of the chain. Quantities such as R and others such as the probability of ring closure are calculated and compared with results obtained in the literature for the simple random walk case." @default.
• W2000574774 created "2016-06-24" @default.
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• W2000574774 date "2008-03-01" @default.
• W2000574774 modified "2023-09-23" @default.
• W2000574774 title "Position and orientation distributions for locally self-avoiding walks in the presence of obstacles" @default.
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• W2000574774 doi "https://doi.org/10.1016/j.polymer.2008.01.056" @default.
• W2000574774 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/2390830" @default.
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