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Correlation lengths for oriented percolation

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Abstract

Oriented percolation has two correlation lengths, one in the “space” and one in the “time” direction. In this paper we define these quantities for the two-dimensional model in terms of the exponential decay of suitably chosen quantities, and study the relationship between the various definitions. The definitions are used in a companion paper to prove inequalities between critical exponents.

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Authors and Affiliations

  1. Cornell University, Ithaca, New York

    Richard Durrett, Roberto H. Schonmann & Nelson I. Tanaka

  2. University of São Paulo, São Paulo, Brazil

    Roberto H. Schonmann & Nelson I. Tanaka

Authors
  1. Richard Durrett
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  2. Roberto H. Schonmann
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  3. Nelson I. Tanaka
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Durrett, R., Schonmann, R.H. & Tanaka, N.I. Correlation lengths for oriented percolation. J Stat Phys 55, 965–979 (1989). https://doi.org/10.1007/BF01041074

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  • DOI: https://doi.org/10.1007/BF01041074

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