Correlation lengths for oriented percolation

Journal Article · Thu Jun 01 04:00:00 EDT 1989 · Journal of Statistical Physics; (USA)

DOI:https://doi.org/10.1007/BF01041074· OSTI ID:5504532

Durrett, R; Schonmann, R H; Tanaka, N I ^[1]

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1. Cornell Univ., Ithaca, NY (USA)

Oriented percolation has two correlation lengths, one in the space and one in the time direction. In this paper the authors 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.

• OSTI ID: 5504532
• Journal Information: Journal of Statistical Physics; (USA), Journal Name: Journal of Statistical Physics; (USA) Vol. 55:5-6; ISSN 0022-4715; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
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GENERAL PHYSICS
BOUNDARY CONDITIONS
CORRELATIONS
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GRAPHS
MARKOV PROCESS
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
ORIENTATION
PROBABILITY
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
TRANSPORT THEORY
TWO-DIMENSIONAL CALCULATIONS