Phase ordering in 3d disordered systems

Abstract

We study numerically the phase-ordering kinetics of the site-diluted and bond-diluted Ising models after a quench from an infinite to a low temperature. We show that the speed of growth of the ordered domain's size is non-monotonous with respect to the amount of dilution $D$: Starting from the pure case $D=0$ the system slows down when dilution is added, as it is usually expected when disorder is introduced, but only up to a certain value $D^{\ast }$ beyond which the speed of growth raises again. We interpret this counterintuitive fact in a renormalization-group inspired framework, along the same lines proposed for the corresponding two-dimensional systems, where a similar pattern was observed.

8 pages, 4 figures.To appear on Journal of Statistical Mechanics: Theory and Experiment. arXiv admin note: text overlap with arXiv:1306.5147

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Cited by in corpus (5)

• Coarsening and percolation in a disordered ferromagnet
• Kinetics of Ferromagnetic Ordering in 3D Ising Model: Do we understand the case of zero temperature quench?
• Fractal character of the phase ordering kinetics of a diluted ferromagnet
• Growth Kinetics and Aging Phenomena in a Frustrated System
• Equilibrium structure and off-equilibrium kinetics of a magnet with tunable frustration