Gene Stanley, the n-vector model and random walks with absorbing boundaries

M. T. Batchelor; B. I. Henry

doi:10.1016/S0378-4371(02)01172-X

Gene Stanley, the n-vector model and random walks with absorbing boundaries

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

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

Gene Stanley's early contribution to the n-vector model is briefly reviewed. Also discussed is a problem solved by McCrea and Whipple in 1940; namely random walks with absorbing boundaries. We have found the exact solution of the analogous problem on the triangular lattice with a true finite boundary. This problem was previously considered to be intractable.

Original language	English
Pages (from-to)	77-82
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	314
Issue number	1-4
DOIs	https://doi.org/10.1016/S0378-4371(02)01172-X
Publication status	Published - 2002

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10.1016/S0378-4371(02)01172-X

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title = "Gene Stanley, the n-vector model and random walks with absorbing boundaries",

abstract = "Gene Stanley's early contribution to the n-vector model is briefly reviewed. Also discussed is a problem solved by McCrea and Whipple in 1940; namely random walks with absorbing boundaries. We have found the exact solution of the analogous problem on the triangular lattice with a true finite boundary. This problem was previously considered to be intractable.",

keywords = "Absorbing boundaries, Gene Stanley, Random walks, Self-avoiding walks, Spherical model, Triangular lattice, n-Vector model",

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AU - Henry, B. I.

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AB - Gene Stanley's early contribution to the n-vector model is briefly reviewed. Also discussed is a problem solved by McCrea and Whipple in 1940; namely random walks with absorbing boundaries. We have found the exact solution of the analogous problem on the triangular lattice with a true finite boundary. This problem was previously considered to be intractable.

KW - Absorbing boundaries

KW - Gene Stanley

KW - Random walks

KW - Self-avoiding walks

KW - Spherical model

KW - Triangular lattice

KW - n-Vector model

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U2 - 10.1016/S0378-4371(02)01172-X

DO - 10.1016/S0378-4371(02)01172-X

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-4

ER -

Gene Stanley, the n-vector model and random walks with absorbing boundaries

Abstract

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