Mixed-order phase transition in a minimal, diffusion based spin model
Statistical Mechanics
2016-07-13 v1
Abstract
In this paper, we exactly solve, within the grand canonical ensemble, a minimal spin model with the hybrid phase transition. We call the model "diffusion-based" because its hamiltonian can be recovered from a simple dynamic procedure, which can be seen as an equilibrium statistical mechanics representation of a biased random walk. We outline the derivation of the phase diagram of the model, in which the triple point has the hallmarks of the hybrid transition: discontinuity in the average magnetization and algebraically diverging susceptibilities. At this point, two second-order transition curves meet in equilibrium with the first-order curve, resulting in a prototypical mixed-order behavior.
Cite
@article{arxiv.1604.04244,
title = {Mixed-order phase transition in a minimal, diffusion based spin model},
author = {Agata Fronczak and Piotr Fronczak},
journal= {arXiv preprint arXiv:1604.04244},
year = {2016}
}