Exact solutions for restricted walks with applications to polymers

M. T. Batchelor; B. I. Henry

doi:10.1016/0375-9601(91)90357-E

Exact solutions for restricted walks with applications to polymers

M. T. Batchelor^*
, B. I. Henry

^*Corresponding author for this work

Mathematical Sciences Institute

Research output: Contribution to journal › Article › peer-review

Abstract

The combinatorial theory of runs is used to algebraically enumerate new classes of restricted random walks and restricted self-avoiding walks. The restrictions favour the local formation of either cis or trans configurations. Exact results are derived and presented for the connective constant and corresponding exponent value for walks on d-dimensional hypercubic lattices. Preliminary numerical results for the mean square end-to-end distance exponent are also given.

Original language	English
Pages (from-to)	35-39
Number of pages	5
Journal	Physics Letters A
Volume	153
Issue number	1
DOIs	https://doi.org/10.1016/0375-9601(91)90357-E
Publication status	Published - 18 Feb 1991

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title = "Exact solutions for restricted walks with applications to polymers",

abstract = "The combinatorial theory of runs is used to algebraically enumerate new classes of restricted random walks and restricted self-avoiding walks. The restrictions favour the local formation of either cis or trans configurations. Exact results are derived and presented for the connective constant and corresponding exponent value for walks on d-dimensional hypercubic lattices. Preliminary numerical results for the mean square end-to-end distance exponent are also given.",

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AB - The combinatorial theory of runs is used to algebraically enumerate new classes of restricted random walks and restricted self-avoiding walks. The restrictions favour the local formation of either cis or trans configurations. Exact results are derived and presented for the connective constant and corresponding exponent value for walks on d-dimensional hypercubic lattices. Preliminary numerical results for the mean square end-to-end distance exponent are also given.

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DO - 10.1016/0375-9601(91)90357-E

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Exact solutions for restricted walks with applications to polymers

Abstract

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