Directed percolation: Shape of the percolation cone, conductivity exponents, and high-dimensionality behaviour

B. C. Harms; J. P. Straley

doi:10.1088/0305-4470/15/6/027

Directed percolation: Shape of the percolation cone, conductivity exponents, and high-dimensionality behaviour

B. C. Harms, J. P. Straley

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Abstract

Presents several results for the directed percolation problem. The shape of the percolation cone is discussed, showing how the operating angle behaves near threshold, and explaining the orientation dependence of the correlation exponents found by Domany and Kinzel (1981). The Cayley tree model is used to discuss the high-dimensionality limit. The conductivity problem on a directed network is introduced, and the high-dimensionality values for the conductivity exponents s and tau are found.

Original language	English
Article number	027
Pages (from-to)	1865-1872
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	15
Issue number	6
DOIs	https://doi.org/10.1088/0305-4470/15/6/027
State	Published - 1982

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/15/6/027

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title = "Directed percolation: Shape of the percolation cone, conductivity exponents, and high-dimensionality behaviour",

abstract = "Presents several results for the directed percolation problem. The shape of the percolation cone is discussed, showing how the operating angle behaves near threshold, and explaining the orientation dependence of the correlation exponents found by Domany and Kinzel (1981). The Cayley tree model is used to discuss the high-dimensionality limit. The conductivity problem on a directed network is introduced, and the high-dimensionality values for the conductivity exponents s and tau are found.",

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AU - Harms, B. C.

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PY - 1982

Y1 - 1982

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AB - Presents several results for the directed percolation problem. The shape of the percolation cone is discussed, showing how the operating angle behaves near threshold, and explaining the orientation dependence of the correlation exponents found by Domany and Kinzel (1981). The Cayley tree model is used to discuss the high-dimensionality limit. The conductivity problem on a directed network is introduced, and the high-dimensionality values for the conductivity exponents s and tau are found.

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Directed percolation: Shape of the percolation cone, conductivity exponents, and high-dimensionality behaviour

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