TY - JOUR
T1 - Generalized interacting self-avoiding trails on the square lattice
T2 - Phase diagram and critical behavior
AU - Foster, D. P.
PY - 2011/9/30
Y1 - 2011/9/30
N2 - A generalized model for interacting self-avoiding trails on a square lattice is presented and studied using numerical transfer matrix methods. The model differentiates between on-site double visits corresponding to collisions, and crossings. Rigidity is also included in the model. The model includes the Nienhuis O(n=0) model and the interacting self-avoiding trail model as special cases. It is shown that the generic type of collapse found is the same as in the pure interacting self-avoiding trail model.
AB - A generalized model for interacting self-avoiding trails on a square lattice is presented and studied using numerical transfer matrix methods. The model differentiates between on-site double visits corresponding to collisions, and crossings. Rigidity is also included in the model. The model includes the Nienhuis O(n=0) model and the interacting self-avoiding trail model as special cases. It is shown that the generic type of collapse found is the same as in the pure interacting self-avoiding trail model.
UR - https://journals.aps.org/pre/abstract/10.1103/PhysRevE.84.032102
UR - http://www.scopus.com/inward/record.url?scp=84872900313&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.84.032102
DO - 10.1103/PhysRevE.84.032102
M3 - Article
AN - SCOPUS:84872900313
SN - 1539-3755
VL - 84
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 032102
ER -