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arXiv · 1710.03207

Ordering Kinetics in the Random Bond XY Model

Manoj Kumar·Swarnajit Chatterjee·Raja Paul·Sanjay Puri
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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.

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Manoj Kumar, Swarnajit Chatterjee, Raja Paul, Sanjay Puri. 2017-10-09. Ordering Kinetics in the Random Bond XY Model. https://doi.org/10.1103/physreve.96.042127

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