Monte Carlo test of a hyperscaling relation for the two-dimensional self-avoiding walk

S. Caracciolo; A. D. Sokal

doi:10.1088/0305-4470/20/9/040

Monte Carlo test of a hyperscaling relation for the two-dimensional self-avoiding walk

S. Caracciolo, A. D. Sokal

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Abstract

The authors simulated self-avoiding walks on the square lattice with fixed endpoints by means of a dynamic Monte Carlo algorithm. From these data they obtain an evaluation of the effective coordination number mu and the critical exponents alpha and v. They can therefore test the hyperscaling relation 2- alpha =dv with a careful estimate of systematic and statistical errors.

Original language	English (US)
Article number	040
Pages (from-to)	2569-2576
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	20
Issue number	9
DOIs	https://doi.org/10.1088/0305-4470/20/9/040
State	Published - 1987

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/20/9/040

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abstract = "The authors simulated self-avoiding walks on the square lattice with fixed endpoints by means of a dynamic Monte Carlo algorithm. From these data they obtain an evaluation of the effective coordination number mu and the critical exponents alpha and v. They can therefore test the hyperscaling relation 2- alpha =dv with a careful estimate of systematic and statistical errors.",

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AB - The authors simulated self-avoiding walks on the square lattice with fixed endpoints by means of a dynamic Monte Carlo algorithm. From these data they obtain an evaluation of the effective coordination number mu and the critical exponents alpha and v. They can therefore test the hyperscaling relation 2- alpha =dv with a careful estimate of systematic and statistical errors.

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Monte Carlo test of a hyperscaling relation for the two-dimensional self-avoiding walk

Abstract

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