Theory of dynamic critical phenomena

Rev. Mod. Phys. 49, 435 – Published 1 July 1977
P. C. Hohenberg and B. I. Halperin

Abstract

An introductory review of the central ideas in the modern theory of dynamic critical phenomena is followed by a more detailed account of recent developments in the field. The concepts of the conventional theory, mode-coupling, scaling, universality, and the renormalization group are introduced and are illustrated in the context of a simple example—the phase separation of a symmetric binary fluid. The renormalization group is then developed in some detail, and applied to a variety of systems. The main dynamic universality classes are identified and characterized. It is found that the mode-coupling and renormalization group theories successfully explain available experimental data at the critical point of pure fluids, and binary mixtures, and at many magnetic phase transitions, but that a number of discrepancies exist with data at the superfluid transition of He4.

DOI: http://dx.doi.org/10.1103/RevModPhys.49.435

© 1977 American Physical Society

Authors & Affiliations

P. C. Hohenberg

  • Bell Laboratories, Murray Hill, New Jersey 07974 and Physik Department, Technische Universität München, 8046, Garching, W. Germany

B. I. Halperin*

  • Department of Physics, Harvard University, Cambridge, Mass. 02138

  • *Supported in part by the National Science Foundation, under Grant DMR No. 72-02977-AO3.

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