1996/11/30 by A. J. Bray · 26 citations
Computer Science · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Closure (psychology) #Combinatorics #Computer science #Dimension (graph theory) #Distribution (mathematics) #Domain (mathematical analysis) #Exponent #Gaussian #Geometry #High Temperature Alloys and Creep #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Phase space #Physics #Power law #Quantum mechanics #Scaling #Solidification and crystal growth phenomena #Space (punctuation) #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.55.5297
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 55(5), 5297-5301 (American Physical Society) · 5 pages, Revtex, no figures, minor revisions and updates, to appear in Physical Review E (May 1, 1997)
arxiv created 1997/02/25 · openalex publication_date 1997/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The distribution of interface (domain-wall) velocities v in a phase-ordering system is considered. Heuristic scaling arguments based on the disappearance of small domains lead to a power-law tail Pv(v)\ensuremath∼v^\mathrm\ensuremath-p, for large v, in the distribution of v\ensuremath≡|v|. The exponent p is given by p=2+d/(z-1), where d is the space dimension and 1/z is the growth exponent, i.e., z=2 for nonconserved (model A) dynamics and z=3 for the conserved case (model B). The nonconserved result is exemplified by an approximate calculation of the full distribution using a Gaussian closure scheme. The heuristic arguments are readily generalized to systems described by a vector order parameter.