Surface exponents of trails in two dimensions at tricriticality: Computer simulation study

Journal Article · Fri Sep 01 04:00:00 EDT 1989 · Physical Review (Section) A: General Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevA.40.2879· OSTI ID:5650067

Meirovitch, H ^[1]; Chang, I S; Shapir, Y ^[2]

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1. Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306-4052 (US)
2. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627-0011

Using the scanning simulation method, we study self-attracting trails (with energy {var epsilon} per intersection) terminally attached to an im- penetrable linear boundary on a square lattice at their tricrital collapse transition. Our results for the exponents of the partition functions are {gamma}{sub 1}=0.634{plus minus}0.025 (one end attached to the surface) and {gamma}{sub 11}={minus}0.44{plus minus}0.02 (both ends attached). These values (with 95% significance limits) are within the error bars of the numerical estimates of Seno and Stella (Europhys. Lett. 7, 605 (1989)) for self-avoiding walks (SAW's) at the {ital FTHETA}-point on the same lattice. Our results, however, differ significantly from the exact values derived by Duplantier and Saleur for SAW's on a dilute hexagonal lattice at the {ital FTHETA}{prime} point. The collapse temperature {ital T}{sub {ital t}} and the tricritical growth parameter {mu} are very close to their analytic bounds {minus}{var epsilon}/{ital k}{sub {ital B}}T{sub t}=ln3 and {mu}=3.

• OSTI ID: 5650067
• Journal Information: Physical Review (Section) A: General Physics; (USA), Journal Name: Physical Review (Section) A: General Physics; (USA) Vol. 40:5; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360603* -- Materials-- Properties
COMPUTERIZED SIMULATION
CRITICAL TEMPERATURE
EQUATIONS
EQUATIONS OF STATE
FILMS
FUNCTIONS
INTERMOLECULAR FORCES
PARTITION FUNCTIONS
PHYSICAL PROPERTIES
POLYMERS
SIMULATION
THERMODYNAMIC PROPERTIES
TRAJECTORIES
TRANSITION TEMPERATURE
TWO-DIMENSIONAL CALCULATIONS