MATHEMATICAL FORMULATIONS AND COMPUTER ENUMERATIONS OF POLYMER MODELS WITH LOOPS
Hwa Aun Lim · International Journal of Modern Physics C · 1992
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 from n→0 magnetic analog, the tricritical properties of silhouettes are studied both analytically and numerically. The tricriticality of trails, which is inaccessible by a renormalization group analysis in ε=4−D dimensions, can therefore only be investigated numerically. The tricritical exponents thus obtained indicate that trails belong to a distinct universality class from silhouettes.