XY model on a self-avoiding walk
Statistical Mechanics
2024-05-14 v1 Other Condensed Matter
Abstract
We study a lattice model of a magnetic polymer where the XY spin variables are located on a self-avoiding walk (SAW) on a regular lattice in two and three dimensions. We consider the regime where both spins and conformations are dynamic, thus the XY model is defined on a dynamic lattice and conformations generate an annealed disorder. Using Monte Carlo simulations, we characterize the globule-coil and ferromagnetic phase transitions, and pay special attention to the vicinity of the theta-point. Our numerical results suggest that the transitions are continuous in two dimensions and first-order in three dimensions, which is similar to related models with Ising spins.
Cite
@article{arxiv.2405.07015,
title = {XY model on a self-avoiding walk},
author = {Kamilla Faizullina and Evgeni Burovski},
journal= {arXiv preprint arXiv:2405.07015},
year = {2024}
}