MATHEMATICAL FORMULATIONS AND COMPUTER ENUMERATIONS OF POLYMER MODELS WITH LOOPS

Hwa A. Lim
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Hwa A. Lim: Supercomputer Computations Research Institute, Florida State University, B-186, Tallahassee, FL 32306–4052, USA

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 02, 385-446

Abstract: The mathematical formalisms and computer enumerations of two polymeric models: trails and silhouettes are presented. Trails have been quite extensively studied, but their equivalence class, silhouettes are less familiar. By drawing parallelism fromn→0magnetic analog, the tricritical properties of silhouettes are studied both analytically and numerically. The tricriticality of trails, which is inaccessible by a renormalization group analysis inε=4−Ddimensions, can therefore only be investigated numerically. The tricritical exponents thus obtained indicate that trails belong to a distinct universality class from silhouettes.

Keywords: Computer; Lattice; Persistency; Polymer; Polynucleic Acid; Silhouette; Trail; Tricriticality (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000300

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