Surface critical behaviour of the Interacting Self-Avoiding Trail on the square lattice

TL;DR

This paper investigates the surface critical behavior of the interacting self-avoiding trail on a square lattice, analyzing phase transitions and critical exponents using transfer matrix methods and finite-size scaling.

Contribution

It provides new insights into the surface critical phenomena and phase diagram of the interacting self-avoiding trail model on a square lattice.

Findings

Identification of critical exponents at ordinary and special points

Detailed phase diagram of the model

Analysis of collapse transition line

Abstract

The surface critical behaviour of the interacting self-avoiding trail is examined using transfer matrix methods coupled with finite-size scaling. Particular attention is paid to the critical exponents at the ordinary and special points along the collapse transition line. The phase diagram is also presented.