# Phase ordering in 3d disordered systems

Source: [Phase ordering in 3d disordered systems](<https://www.sota2.com/research/paper/68fa33671e209131ce89001b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T20:03:46.967Z

Authors: Federico Corberi, Eugenio Lippiello, Marco Zannetti

Published: 2015-09-17T15:59:38.000Z

## 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 $D^\*$ 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1509.05308>)

[PDF](<https://arxiv.org/pdf/1509.05308.pdf>)