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Progress and Problems in Real-Space Renormalization

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Real-Space Renormalization

Part of the book series: Topics in Current Physics ((TCPHY,volume 30))

Abstract

The real-space renormalization approach to statistical mechanics is reviewed. A brief account of progress in the field is given. Some fundamental difficulties with the approach are discussed, in particular the proliferation of interactions, the ambiguity in the choice of the weight function, and the peculiarities in the thermodynamic limit noted by GRIFFITHS and PEARCE. Two methods which avoid the problem of proliferation of interactions are considered in some detail: differential real-space renormalization and the phenomenological renormalization related to finite-size scaling.

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Authors
  1. T. W. Burkhardt
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  2. J. M. J. van Leeuwen
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Editor information

Editors and Affiliations

  1. Institut Laue-Langevin, 156 X, F-38042, Grenoble Cédex, France

    Theodore W. Burkhardt

  2. Department of Physics, Temple University, 19122, Philadelphia, PA, USA

    Theodore W. Burkhardt

  3. Laboratorium voor Technische Natuurkunde, Technische Hogeschool Delft, Lorentzweg 1, 2600 GA, Delft, The Netherlands

    J. M. J. van Leeuwen

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Burkhardt, T.W., van Leeuwen, J.M. . (1982). Progress and Problems in Real-Space Renormalization. In: Burkhardt, T.W., van Leeuwen, J.M.J. (eds) Real-Space Renormalization. Topics in Current Physics, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81825-7_1

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  • DOI: https://doi.org/10.1007/978-3-642-81825-7_1

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