Theory of dynamic critical phenomena
โ Scribed by Hohenberg P.C, Halperin B.I.
- Book ID
- 127432991
- Year
- 1977
- Tongue
- English
- Weight
- 1 MB
- Series
- Rev.Mod Phys.49
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
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 4He.
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An important contributor to our current understanding of critical phenomena, Ma introduces the beginner-especially the graduate student with no previous knowledge of the subject-to fundamental theoretical concepts such as mean field theory, the scaling hypothesis, and the renormalization group. He t