Ordering Kinetics in the Random Bond XY Model
Statistical Mechanics
2017-10-26 v1
Abstract
We present a comprehensive Monte Carlo study of domain growth in the random-bond XY model with non-conserved kinetics. The presence of quenched disorder slows down domain growth in d = 2; 3. In d = 2, we observe power-law growth with a disorder-dependent exponent on the time-scales of our simulation. In d = 3, we see the signature of an asymptotically logarithmic growth regime. The scaling functions for the real-space correlation function are seen to be independent of the disorder. However, the same does not apply for the two-time autocorrelation function, demonstrating the breakdown of superuniversality.
Keywords
Cite
@article{arxiv.1710.03207,
title = {Ordering Kinetics in the Random Bond XY Model},
author = {Manoj Kumar and Swarnajit Chatterjee and Raja Paul and Sanjay Puri},
journal= {arXiv preprint arXiv:1710.03207},
year = {2017}
}
Comments
To appear in PRE