# Ordering Kinetics in the Random Bond XY Model

Source: [Ordering Kinetics in the Random Bond XY Model](<https://www.sota2.com/research/paper/68fa369d1e209131ce8ab88e>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T21:56:06.725Z

Authors: Manoj Kumar, Swarnajit Chatterjee, Raja Paul, Sanjay Puri

Published: 2017-10-09T17:39:26.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1710.03207>)

[PDF](<https://arxiv.org/pdf/1710.03207.pdf>)