Growth laws for phase ordering

1993/03/09 by A. J. Bray, Andrew D. Rutenberg, A. D. Rutenberg · 7 citations
Earth and Planetary Sciences · Materials Science · Mathematics · Physics and Astronomy · #Dissipation #Economics #Energy (signal processing) #Geometry #Law #Mathematical physics #Mathematics #Order (exchange) #Phase (matter) #Physics #Political science #Quantum mechanics #Scalar (mathematics) #Solidification and crystal growth phenomena #Statistical physics #Statistics #Theoretical and Computational Physics #Thermodynamics #cond-mat #nanoparticles nucleation surface interactions

paper · pdf · doi:10.1103/physreve.49.r27

published as Phys. Rev. E 49, R27 (1994) · 12 pages, LaTeX, second try

arxiv created 1993/03/09 · openalex publication_date 1994/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We determine the characteristic length scale, L(t), in phase-ordering kinetics for both scalar and vector fields, with either shortor l 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) and other models, including systems with topological textures.

Citations

• Theory of dynamic critical phenomena

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