Critical exponents for the self-avoiding random walk in three dimensions

Journal Article · Thu Oct 01 00:00:00 EDT 1987 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01009959· OSTI ID:5825956

de Forcrand, P; Koukiou, F; Petritis, D

The authors compute by direct Monte Carlo simulation the main critical exponents ..cap alpha.., ..gamma.., ..delta../sub 4/, and nu and the effective coordination number ..mu.. for the self-avoiding random walk in three dimensions on a cubic lattice. They find both hyperscaling relations dv = 2 - ..cap alpha.. and dv - 2..delta../sub 4/ + ..gamma.. = 0 satisfied in d = 3.

• Research Organization: CRAY Research Inc., Chippewa Falls, WI
• OSTI ID: 5825956
• Journal Information: J. Stat. Phys.; (United States), Vol. 49:1-2
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CRYSTAL MODELS
COMPUTERIZED SIMULATION
MONTE CARLO METHOD
SCALING LAWS
STATISTICAL MECHANICS
TRANSPORT THEORY
ALGORITHMS
CRAY COMPUTERS
CUBIC LATTICES
ISING MODEL
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RANDOMNESS
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CRYSTAL STRUCTURE
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SIMULATION
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
645400 - High Energy Physics- Field Theory