Weighting of topologically different interactions in a model of two-dimensional polymer collapse
Andrea Bedini, Aleksander L Owczarek, Thomas Prellberg
Physical Review E | AMER PHYSICAL SOC | Published : 2013
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 thi..View full abstract
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Financial support from the Australian Research Council via its support for the Centre of Excellence for Mathematics and Statistics of Complex Systems and through its Discovery program is gratefully acknowledged by the authors. A.L.O. thanks the School of Mathematical Sciences, Queen Mary, University of London for hospitality.