Generalized interacting self-avoiding trails on the square lattice: Phase diagram and critical behavior

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9 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number032102
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume84
Issue number3
DOIs
Publication statusPublished - 30 Sep 2011
Externally publishedYes

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Critical Behavior
Square Lattice
Phase Diagram
phase diagrams
Model
Transfer Matrix Method
Differentiate
rigidity
matrix methods
Rigidity
Collision
collisions

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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title = "Generalized interacting self-avoiding trails on the square lattice: Phase diagram and critical behavior",
abstract = "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.",
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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.

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