Ordering kinetics in the random-bond model

M Kumar, S Chatterjee, R Paul, S Puri - Physical Review E, 2017 - APS
Physical Review E, 2017APS
We present a comprehensive Monte Carlo study of domain growth in the random-bond XY
model with nonconserved 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 …
We present a comprehensive Monte Carlo study of domain growth in the random-bond model with nonconserved kinetics. The presence of quenched disorder slows down domain growth in . In , we observe power-law growth with a disorder-dependent exponent on the time scales of our simulation. In , 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.
American Physical Society
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