Domain growth and aging scaling in coarsening disordered systems

Abstract

Using extensive Monte Carlo simulations we study aging properties of two disordered systems quenched below their critical point, namely the two-dimensional random-bond Ising model and the three-dimensional Edwards-Anderson Ising spin glass with a bimodal distribution of the coupling constants. We study the two-times autocorrelation and space-time correlation functions and show that in both systems a simple aging scenario prevails in terms of the scaling variable $L(t)/L(s)$, where $L$ is the time-dependent correlation length, whereas $s$ is the waiting time and $t$ is the observation time. The investigation of the space-time correlation function for the random-bond Ising model allows us to address some issues related to superuniversality.

8 pages, 9 figures, to appear in European Physical Journal B

References in corpus (13)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature
• Crossover in Growth Law and Violation of Superuniversality in the Random Field Ising Model
• Two-time autocorrelation function in phase-ordering kinetics from local scale-invariance
• Non-equilibrium relaxation of an elastic string in a random potential
• Ageing in disordered magnets and local scale-invariance
• Growing correlations and aging of an elastic line in a random potential
• Scaling of the linear response in simple ageing systems without disorder
• 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
• Relaxation and Glassy Dynamics in Disordered Type-II Superconductors

Cited by in corpus (14)

• Coarsening with non-trivial in-domain dynamics: correlations and interface fluctuations
• Perturbing cyclic predator-prey systems: how a six-species coarsening system with non-trivial in-domain dynamics responds to sudden changes
• Dynamically generated hierarchies in games of competition
• Aging processes in systems with anomalous slow dynamics
• Characterization of relaxation processes in interacting vortex matter through a time-dependent correlation length
• Aging in the three-dimensional Random Field Ising Model
• Physical ageing from generalised time-translation-invariance
• Non-equilibrium Relaxation and Aging Scaling of the Coulomb and Bose Glass
• Growth Kinetics and Aging Phenomena in a Frustrated System
• Relaxation processes in a system with logarithmic growth
• Ordering kinetics in q-state random-bond clock model: Role of Vortices and Interfaces
• On a relation between roughening and coarsening
• Pinning-depinning transitions in two classes of discrete elastic-string models in (2+1)-dimensions
• Time is length in self-similar logarithmic aging of physically cross-linked semiflexible polymer networks