Correlation length and its critical exponent for percolation processes
Journal Article
·
· J. Stat. Phys.; (United States)
Some critical exponent inequalities are given involving the correlation length of site percolation processes on Z/sup d/. In particular, it is shown that v greater than or equal to 2/d, which implies that the critical exponent v cannot take its mean-field value for the three-dimensional percolation processes.
- Research Organization:
- Univ. of North Carolina, Chapel Hill
- OSTI ID:
- 6194633
- Journal Information:
- J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 46:3/4; ISSN JSTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
CORRELATION FUNCTIONS
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
FERROMAGNETISM
FUNCTIONS
MAGNETIC MOMENTS
MAGNETISM
MATHEMATICAL MODELS
MEAN-FIELD THEORY
MECHANICS
ORDER PARAMETERS
RANDOMNESS
SPIN GLASS STATE
STATISTICAL MECHANICS
THERMODYNAMICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
CORRELATION FUNCTIONS
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
FERROMAGNETISM
FUNCTIONS
MAGNETIC MOMENTS
MAGNETISM
MATHEMATICAL MODELS
MEAN-FIELD THEORY
MECHANICS
ORDER PARAMETERS
RANDOMNESS
SPIN GLASS STATE
STATISTICAL MECHANICS
THERMODYNAMICS