Aging in coarsening diluted ferromagnets

Abstract

We comprehensively study non-equilibrium relaxation and aging processes in the two-dimensional random-site Ising model through numerical simulations. We discuss the dynamical correlation length as well as scaling functions of various two-times quantities as a function of temperature and of the degree of dilution. For already modest values of the dynamical correlation length $L$ deviations from a simple algebraic growth, $L(t)\sim t^{1/z}$, are observed. When taking this non-algebraic growth properly into account, a simple aging behavior of the autocorrelation function is found. This is in stark contrast to earlier studies where, based on the assumption of algebraic growth, a superaging scenario was postulated for the autocorrelation function in disordered ferromagnets. We also study the scaling behavior of the space-time correlation as well as of the time integrated linear response and find again agreement with simple aging. Finally, we briefly discuss the possibility of superuniversality in the scaling properties of space- and time-dependent quantities.

23 pages, 7 figures, to appear in Physical Review B

References in corpus (8)

• An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature
• 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
• Superuniversality in phase-ordering disordered ferromagnets
• Scaling and super-universality in the coarsening dynamics of the 3d random field Ising model
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Cited by in corpus (13)

• Crossover in Growth Law and Violation of Superuniversality in the Random Field Ising Model
• Growth Law and Superuniversality in the Coarsening of Disordered Ferromagnets
• Coarsening and Aging of Lattice Polymers: Influence of Bond Fluctuations
• Coarsening in inhomogeneous systems
• Coarsening with non-trivial in-domain dynamics: correlations and interface fluctuations
• Coarsening and percolation in a disordered ferromagnet
• Aging processes in systems with anomalous slow dynamics
• Phase ordering in disordered and inhomogeneous systems
• Topological regulation of activation barriers on fractal substrates
• Relaxation processes in a system with logarithmic growth
• Corrections to scaling in the dynamic approach to the phase transition with quenched disorder
• Equilibrium structure and off-equilibrium kinetics of a magnet with tunable frustration
• On a relation between roughening and coarsening