Surface critical exponents of self-avoiding walks and trails on a square lattice: The universality classes of the. theta. and. theta. prime points

Journal Article · Mon Oct 12 00:00:00 EDT 1992 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.69.2232· OSTI ID:7080292

Chang, I; Meirovitch, H ^[1]

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1. Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306-4052 (United States) Research Center for Dielectric Advanced Matter Physics and Department of Physics, College of Natural Science, Pusan National University, Pusan (Korea, Republic of)

Using the scanning method we carry out for the first time extensive simulations of trails and self-avoiding walks (SAWs) terminally attached to an adsorbing linear boundary on a square lattice. A bulk attraction energy is also defined for a self-intersection of a trail and a pair of nonbonded nearest-neighbor monomers of a SAW. The chains are simulated at the special point. Our critical exponents differ significantly from the exact values of Vanderzande, Stella, and Seno (Phys. Rev. Lett. 67, 2757 (1991)) for the {theta}{prime} model. Thus, their conjecture, that the {theta} and {theta}{prime} points belong to the same universality class, is not supported.

• DOE Contract Number: FC05-85ER25000
• OSTI ID: 7080292
• Journal Information: Physical Review Letters; (United States), Vol. 69:15; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
POLYMERS
ADSORPTION
COMPUTERIZED SIMULATION
FREE ENERGY
MONTE CARLO METHOD
SURFACE ENERGY
THERMODYNAMICS
ENERGY
PHYSICAL PROPERTIES
SIMULATION
SORPTION
SURFACE PROPERTIES
THERMODYNAMIC PROPERTIES
360606* - Other Materials- Physical Properties- (1992-)