Ordering Kinetics in the Random Bond XY Model

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.

To appear in PRE

References in corpus (16)

• Theory of Phase Ordering Kinetics
• Growth Laws for Phase Ordering
• Critical Behaviour of the 3D XY-Model: A Monte Carlo Study
• Random Walks in Logarithmic and Power-Law Potentials, Nonuniversal Persistence, and Vortex Dynamics in the Two-Dimensional XY Model
• The Energy-Scaling Approach to Phase-Ordering Growth Laws
• Domain Growth in Ising Systems with Quenched Disorder
• Domain Growth in Random Magnets
• Crossover in Growth Law and Violation of Superuniversality in the Random Field Ising Model
• Ageing in disordered magnets and local scale-invariance
• Phase Ordering Dynamics of the O(n) Model - Exact Predictions and Numerical Results
• Dynamical Scaling: the Two-Dimensional XY Model Following a Quench
• Growth Law and Superuniversality in the Coarsening of Disordered Ferromagnets
• Superuniversality in phase-ordering disordered ferromagnets
• Monte Carlo study of the critical temperature for the planar rotator model with nonmagnetic impurities
• Scaling Behavior of Response Functions in the Coarsening Dynamics of Disordered Ferromagnets
• Kosterlitz-Thouless transition in planar spin models with bond dilution

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• Domain Growth and Aging in the Random Field XY Model: A Monte Carlo Study
• Jamming and flocking in the restricted active Potts model
• Bond disorder enhances the information transfer in polar flock
• Length-scales of Dynamic Heterogeneity in a Driven Binary Colloid
• Polar flock with bond disorder
• Dynamics of topological defects after a photo-induced melting of a charge-density wave
• Growth Kinetics and Aging Phenomena in a Frustrated System
• Ordering kinetics in the active Ising model
• Ordering kinetics in q-state random-bond clock model: Role of Vortices and Interfaces
• Ordering kinetics and steady states of XY-model with ferromagnetic and nematic interaction
• Uniformly frustrated XY model: strengthening of the vortex lattice by intrinsic disorder