The Theory of Critical Phenomena

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ID: 295836
1992
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Abstract
Abstract The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory. This book provides a thorough introduction to these techniques. Continuous phase transitions are introduced, then the necessary statistical mechanics is summarized, followed by standard models, some exact solutions and techniques for numerical simulations. The real-space renormalization group and mean-field theory are then explained and illustrated. The final chapters cover the Landau-Ginzburg model, from physical motivation, through diagrammatic perturbation theory and renormalization to the renormalization group and the calculation of critical exponents above and below the critical temperature.
Reference Key
openalex_W1558680194 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors James Binney, N J Dowrick, A. J. Fisher, M E J Newman
Journal Oxford University Press eBooks
Year 1992
DOI
10.1093/oso/9780198513940.001.0001
URL
https://doi.org/10.1093/oso/9780198513940.001.0001
Keywords Keywords not found

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