Correlation length and its critical exponent for percolation processes

Journal Article · Sun Feb 01 00:00:00 EST 1987 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01013372· OSTI ID:6194633

Nguyen, B G

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), Vol. 46:3/4
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CRYSTAL LATTICES
CORRELATION FUNCTIONS
MEAN-FIELD THEORY
THERMODYNAMICS
BOUNDARY CONDITIONS
CRYSTAL MODELS
FERROMAGNETISM
MAGNETIC MOMENTS
ORDER PARAMETERS
RANDOMNESS
SPIN GLASS STATE
STATISTICAL MECHANICS
CRYSTAL STRUCTURE
FUNCTIONS
MAGNETISM
MATHEMATICAL MODELS
MECHANICS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics