Improved mean-field-like renormalisation group approach for Z(q) symmetric spin models

E. Niebur

doi:10.1088/0305-4470/21/2/031

Improved mean-field-like renormalisation group approach for Z(q) symmetric spin models

E. Niebur

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

4 Scopus citations

Abstract

Various modifications of the mean-field renormalisation group method are analysed to study the convergence of the critical coupling and critical exponents to their exact values as the cluster size increases. Appropriate choice of the length scaling factor or of the scaling quantity can give appreciable improvement over the concentional procedure for short clusters. The best Lalues are achieved when both the bulk and surface critical behaviour are explicitly taken into account.

Original language	English (US)
Pages (from-to)	539-546
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	21
Issue number	2
DOIs	https://doi.org/10.1088/0305-4470/21/2/031
State	Published - Jan 21 1988
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/21/2/031

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title = "Improved mean-field-like renormalisation group approach for Z(q) symmetric spin models",

abstract = "Various modifications of the mean-field renormalisation group method are analysed to study the convergence of the critical coupling and critical exponents to their exact values as the cluster size increases. Appropriate choice of the length scaling factor or of the scaling quantity can give appreciable improvement over the concentional procedure for short clusters. The best Lalues are achieved when both the bulk and surface critical behaviour are explicitly taken into account.",

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AB - Various modifications of the mean-field renormalisation group method are analysed to study the convergence of the critical coupling and critical exponents to their exact values as the cluster size increases. Appropriate choice of the length scaling factor or of the scaling quantity can give appreciable improvement over the concentional procedure for short clusters. The best Lalues are achieved when both the bulk and surface critical behaviour are explicitly taken into account.

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ER -

Improved mean-field-like renormalisation group approach for Z(q) symmetric spin models

Abstract

ASJC Scopus subject areas

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