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Correlation lengths for oriented percolation

Publication ,  Journal Article
Durrett, R; Schonmann, RH; Tanaka, NI
Published in: Journal of Statistical Physics
June 1, 1989

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. © 1989 Plenum Publishing Corporation.

Duke Scholars

Published In

Journal of Statistical Physics

DOI

EISSN

1572-9613

ISSN

0022-4715

Publication Date

June 1, 1989

Volume

55

Issue

5-6

Start / End Page

965 / 979

Related Subject Headings

  • Fluids & Plasmas
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Durrett, R., Schonmann, R. H., & Tanaka, N. I. (1989). Correlation lengths for oriented percolation. Journal of Statistical Physics, 55(5–6), 965–979. https://doi.org/10.1007/BF01041074
Durrett, R., R. H. Schonmann, and N. I. Tanaka. “Correlation lengths for oriented percolation.” Journal of Statistical Physics 55, no. 5–6 (June 1, 1989): 965–79. https://doi.org/10.1007/BF01041074.
Durrett R, Schonmann RH, Tanaka NI. Correlation lengths for oriented percolation. Journal of Statistical Physics. 1989 Jun 1;55(5–6):965–79.
Durrett, R., et al. “Correlation lengths for oriented percolation.” Journal of Statistical Physics, vol. 55, no. 5–6, June 1989, pp. 965–79. Scopus, doi:10.1007/BF01041074.
Durrett R, Schonmann RH, Tanaka NI. Correlation lengths for oriented percolation. Journal of Statistical Physics. 1989 Jun 1;55(5–6):965–979.
Journal cover image

Published In

Journal of Statistical Physics

DOI

EISSN

1572-9613

ISSN

0022-4715

Publication Date

June 1, 1989

Volume

55

Issue

5-6

Start / End Page

965 / 979

Related Subject Headings

  • Fluids & Plasmas
  • 02 Physical Sciences
  • 01 Mathematical Sciences