Self-avoiding walks in four dimensions: Logarithmic corrections to scaling

Journal Article · Sat Sep 01 04:00:00 EDT 1984 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.30.2906· OSTI ID:6171571

Rapaport, D C

Monte Carlo techniques are used to study the conformational properties of self-avoiding walks on the four-dimensional cubic lattice. Both the mean-square end-to-end distance and radius of gyration are found to diverge as N(lnN)/sup q/, where N is the number of steps in the walk. The results suggest a value qroughly-equal0.31, whereas the renormalization-group prediction is q = 0.375; this small discrepancy is attributable to slowly decaying correction terms.

• Research Organization: Department of Physics, Bar-Ilan University, Ramat-Gan 52100, Israel
• OSTI ID: 6171571
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 30:5; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

657006* -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
CORRECTIONS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
CUBIC LATTICES
FOUR-DIMENSIONAL CALCULATIONS
MATHEMATICS
MONTE CARLO METHOD
PARAMETRIC ANALYSIS
PARTICLES
SCALING LAWS
STATISTICS
TRANSPORT THEORY