Universality of collapsing two-dimensional self-avoiding trails
Résumé
Results of a numerically exact transfer matrix calculation coupled with a finite-size scaling analysis for the model of Interacting Self-Avoiding Trails are presented. The results lead to the conclusion that, at the collapse transition, Self-Avoiding Trails are in the same universality class as the O(n=0) model of Bl\"{o}te and Nienhuis (or vertex-interacting self-avoiding walk), which has thermal exponent $\nu=12/23$, contrary to previous conjectures.