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Cambridge University Press eBooks

Renormalization group and phase transitions

Belal Ehsan Baaquie

Published Aug 22, 2018• 0 citations
Publisher
DOI
10.1017/9781108399685.019

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The renormalization group for the statistical mechanics of a wave field is described. The hypothesis of scaling of correlations near an order-disorder phase-transition point is written in renormalization-group terms. The renormalization-group equations near a fixed point are investigated. The scaling dimensions (critical indices) of the principal quantities are found in the ∊-approximation. The stability of manycomponent systems and the question of asymptotic symmetry are investigated. The renormalization method is applied to the study of the dynamics of systems near a phase-transition point.