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

M.T. Batchelor and B.I. Henry

Physica A: Statistical Mechanics and its Applications, 2002, vol. 314, issue 1, 77-82

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: Gene Stanley; n-Vector model; Spherical model; Self-avoiding walks; Random walks; Triangular lattice; Absorbing boundaries (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:314:y:2002:i:1:p:77-82

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

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