Emerging critical behavior at a first-order phase transition rounded by disorder
Disordered Systems and Neural Networks
2017-06-19 v2 Statistical Mechanics
Abstract
We investigate the two-dimensional four-color Ashkin-Teller model by means of large-scale Monte-Carlo simulations. We demonstrate that the first-order phase transition of the clean system is destroyed by random disorder introduced via site dilution. The critical behavior of the emerging continuous transition belongs to the clean two-dimensional Ising universality class, apart from logarithmic corrections. These results confirm perturbative renormalization-group predictions; they also agree with recent findings for the three-color case, indicating that the critical behavior is universal.
Cite
@article{arxiv.1602.04508,
title = {Emerging critical behavior at a first-order phase transition rounded by disorder},
author = {Ahmed K. Ibrahim and Thomas Vojta},
journal= {arXiv preprint arXiv:1602.04508},
year = {2017}
}
Comments
6 pages, 5 eps figures included, builds on arXiv:1504.00408, final version as published