Collapse transition of self-avoiding walks on a square lattice in the bulk and near a linear wall: The universality classes of the [theta] and [theta][prime] points

Journal Article · Mon Nov 01 04:00:00 EST 1993 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.48.3656· OSTI ID:5920541

Chang, I ^[1]; Meirovitch, H ^[2]

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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 Sciences, Pusan National University, Pusan (Korea, Republic of)
2. Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306-4052 (United States)

Using the scanning method we study by extensive simulations the [theta] transition of self-avoiding walks with nearest-neighbor attractions in the bulk and near a linear wall on a square lattice. Consistent results for the two models are obtained for the radius of gyration, but not for the end-to-end distance. Our results for the exponents [nu] and [gamma] agree with those derived by Duplantier and Saleur [Phys. Rev. Lett. 59, 539 (1987)] for the [theta][prime] model. However, our results for the crossover exponent [phi] (which constitute upper bounds for the correct value) are significantly larger than the value of [phi]([theta][prime]). At the ordinary point our result for [gamma][sub 1] is larger (even though not much) than the value suggested by Vanderzande, Stella, and Seno [Phys. Rev. Lett. 67, 2757 (1991)] for the [theta][prime] model.

• DOE Contract Number: FC05-85ER25000
• OSTI ID: 5920541
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 48:5; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPUTERIZED SIMULATION
CRITICAL TEMPERATURE
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
POLYMERS
SIMULATION
STOCHASTIC PROCESSES
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE