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Elsevier eBooks

Phase Transitions: The Renormalization Group Approach

R.K. Pathria, Paul D. Beale

Published Jan 1, 2011• 0 citations
Publisher
DOI
10.1016/b978-0-12-382188-1.00014-1

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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.