Scaling in the Aging Dynamics of the Site-diluted Ising Model

Abstract

We study numerically the phase-ordering kinetics of the two-dimensional site-diluted Ising model. The data can be interpreted in a framework motivated by renormalization-group concepts. Apart from the usual fixed point of the non-diluted system, there exist two disorder fixed points, characterized by logarithmic and power-law growth of the ordered domains. This structure gives rise to a rich scaling behavior, with an interesting crossover due to the competition between fixed points, and violation of superuniversality.

13 pages, 8 figures

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• Scaling of the largest dynamical barrier in the one-dimensional long-range Ising spin-glass
• Characterization of relaxation processes in interacting vortex matter through a time-dependent correlation length
• Aging in the three-dimensional Random Field Ising Model
• Phase ordering in disordered and inhomogeneous systems
• Fractal character of the phase ordering kinetics of a diluted ferromagnet
• Phase ordering in 3d disordered systems
• Universality of Domain Growth in Antiferromagnets with Spin-Exchange Kinetics
• Relaxation processes in a system with logarithmic growth
• Growth Kinetics and Aging Phenomena in a Frustrated System
• Coarsening and percolation in the Ising Model with quenched disorder
• Roughening of an interface in a system with surface or bulk disorder
• Equilibrium structure and off-equilibrium kinetics of a magnet with tunable frustration
• Evolution toward linguistic coherence in naming game with migrating agents
• Effects of Frustration on Fluctuation-dissipation Relations
• On a relation between roughening and coarsening