Phase transition in an ising model near the percolation threshold

Michael J. Stephen; G. S. Grest

doi:10.1103/PhysRevLett.38.567

Phase transition in an ising model near the percolation threshold

Michael J. Stephen
, G. S. Grest

Research output: Contribution to journal › Article › peer-review

101 Scopus citations

Abstract

The phase transition near the percolation threshold in an Ising model with random exchange is investigated. The mean-field theory of the transition is discussed. The cross-over exponent and susceptibility are caluclated in 6-ε dimensions using renormalization-group methods with the result =1+O(ε3). is also shown to be 1 near one dimension. © 1977 The American Physical Society.

Original language	English
Pages (from-to)	567-570
Number of pages	4
Journal	Physical Review Letters
Volume	38
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevLett.38.567
State	Published - Jan 1 1977
Externally published	Yes

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title = "Phase transition in an ising model near the percolation threshold",

abstract = "The phase transition near the percolation threshold in an Ising model with random exchange is investigated. The mean-field theory of the transition is discussed. The cross-over exponent and susceptibility are caluclated in 6-ε dimensions using renormalization-group methods with the result =1+O(ε3). is also shown to be 1 near one dimension. {\textcopyright} 1977 The American Physical Society.",

author = "Stephen, \{Michael J.\} and Grest, \{G. S.\}",

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AU - Grest, G. S.

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AB - The phase transition near the percolation threshold in an Ising model with random exchange is investigated. The mean-field theory of the transition is discussed. The cross-over exponent and susceptibility are caluclated in 6-ε dimensions using renormalization-group methods with the result =1+O(ε3). is also shown to be 1 near one dimension. © 1977 The American Physical Society.

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U2 - 10.1103/PhysRevLett.38.567

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EP - 570

JO - Physical Review Letters

JF - Physical Review Letters

IS - 10

ER -

Phase transition in an ising model near the percolation threshold

Abstract

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