Crossover in Growth Law and Violation of Superuniversality in the Random Field Ising Model

Abstract

We study the nonconserved phase ordering dynamics of the d = 2, 3 random field Ising model, quenched to below the critical temperature. Motivated by the puzzling results of previous work in two and three di- mensions, reporting a crossover from power-law to logarithmic growth, together with superuniversal behavior of the correlation function, we have undertaken a careful investigation of both the domain growth law and the autocorrelation function. Our main results are as follows: We confirm the crossover to asymptotic logarithmic behavior in the growth law, but, at variance with previous findings, the exponent in the preasymptotic power law is disorder-dependent, rather than being the one of the pure system. Furthermore, we find that the autocorre- lation function does not display superuniversal behavior. This restores consistency with previous results for the d = 1 system, and fits nicely into the unifying scaling scheme we have recently proposed in the study of the random bond Ising model.

To be published in Physical Review E

References in corpus (7)

• Dynamics of glassy systems
• Ageing in disordered magnets and local scale-invariance
• Growth Law and Superuniversality in the Coarsening of Disordered Ferromagnets
• Superuniversality in phase-ordering disordered ferromagnets
• Scaling and super-universality in the coarsening dynamics of the 3d random field Ising model
• Aging in coarsening diluted ferromagnets
• Geometric properties of two-dimensional coarsening with weak disorder

Cited by in corpus (24)

• Coarsening in inhomogeneous systems
• Coarsening with non-trivial in-domain dynamics: correlations and interface fluctuations
• Coarsening and percolation in a disordered ferromagnet
• Dynamically generated hierarchies in games of competition
• Aging processes in systems with anomalous slow dynamics
• Surface-Directed Spinodal Decomposition on Chemically Patterned Substrates
• Quasi-deterministic dynamics, memory effects, and lack of self-averaging in the relaxation of quenched ferromagnets
• Machine learning for phase ordering dynamics of charge density waves
• Ordering Kinetics in the Random Bond XY Model
• Dynamical Properties of Random Field Ising Model
• Domain Growth and Aging in the Random Field XY Model: A Monte Carlo Study
• Ordering Dynamics of the Random Field Long-range Ising Model in One Dimension
• Phase separation and aging dynamics of binary liquid in porous media
• Topological regulation of activation barriers on fractal substrates
• Phase ordering in disordered and inhomogeneous systems
• Relaxation processes in a system with logarithmic growth
• Equilibrium structure and off-equilibrium kinetics of a magnet with tunable frustration
• Dipolar Ising Model: Phases, Growth Laws and Universality
• Effects of Frustration on Fluctuation-dissipation Relations
• On a relation between roughening and coarsening
• Phase Ordering Kinetics of the Asymmetric Coulomb Glass Model
• Coarsening dynamics of Ising-nematic order in a frustrated Heisenberg antiferromagnet
• Domain Growth in Long-range Ising Models with Disorder
• Effect of Annealed Disorder on Phase Separation Kinetics and Aging Phenomena in Fluid Mixtures