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Growth Laws for Phase Ordering

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arxiv cond-mat/9303011 v2 pith:Z7ATH2KZ submitted 1993-03-08 cond-mat

A.J. Bray , A.D. Rutenberg This is my paper · ORCID
classification cond-mat
keywords lawsenergygrowthorderingphaseappliedchangecharacteristic
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abstract

We determine the characteristic length scale, $L(t)$, in phase ordering kinetics for both scalar and vector fields, with either short- or long-range interactions, and with or without conservation laws. We obtain $L(t)$ consistently by comparing the global rate of energy change to the energy dissipation from the local evolution of the order parameter. We derive growth laws for O(n) models, and our results can be applied to other systems with similar defect structures.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Schr\"odinger-invariance in phase-ordering kinetics

    cond-mat.stat-mech 2025-11 unverdicted novelty 6.0 of 10

    Derives generic forms of single- and two-time correlators in z=2 phase-ordering kinetics from covariance under a new non-equilibrium Schrödinger algebra representation.

  2. Physical ageing from generalised time-translation-invariance

    cond-mat.stat-mech 2025-04 conditional novelty 5.0 of 10

    A single time-dependent symmetry transformation is claimed to explain the known scaling phenomenology of physical ageing and to predict new finite-size plateau scalings.

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