2012/10/26 by Andrea Bedini, A. Bedini, A L Owczarek +3 · 2 citations
Computer Science · Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Theoretical and Computational Physics #Topological and Geometric Data Analysis #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.87.012142
published as Phys. Rev. E 87, 012142 (2013) · 7 figures
arxiv created 2012/10/26 · openalex publication_date 2013/01/30 · arxiv updated 2013/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study by computer simulation a recently introduced generalized model of self-interacting self-avoiding trails on the square lattice that distinguishes two topologically different types of self-interaction: namely, crossings where the trail passes across itself and collisions where the lattice path visits the same site without crossing. This model generalizes the canonical interacting self-avoiding trail model of polymer collapse, which has a strongly divergent specific heat at its transition point. We confirm the recent prediction that the asymmetry does not affect the universality class for a range of asymmetry. Certainly, where the weighting of collisions outweighs that of crossings this is well supported numerically. When crossings are weighted heavily relative to collisions, the collapse transition reverts to the canonical θ-point-like behavior found in interacting self-avoiding walks.