1997/07/31 by Benjamin P. Lee, Andrew D. Rutenberg · 2 citations
Mathematics · Physics and Astronomy · #Quantum many-body systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.79.4842
published as Phys. Rev. Lett. 79, 4842 (1997) · 4 pages, revtex. References added, abstract shortened
openalex publication_date 1997/12/15 · arxiv created 1998/01/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We calculate the exact autocorrelation exponent \ensuremathλ and persistence exponent \ensuremathθ, and also amplitudes, in the dilute limit of phase ordering for dimensions d\ensuremath≥2. In the Lifshitz-Slyozov-Wagner limit of conserved order parameter dynamics we find \ensuremathθ\phantom\rule0ex0ex=\phantom\rule0ex0ex\ensuremathγd\ensuremathε, a universal constant times the volume fraction. For autocorrelations, \ensuremathλ\phantom\rule0ex0ex=\phantom\rule0ex0exd at intermediate times, with a late time crossover to \ensuremathλ\ensuremath≥d/2+2. We also derive \ensuremathλ and \ensuremathθ for globally conserved dynamics and relate these to the q\ensuremath→\ensuremath∞--state Potts model and soap froths, proposing new poisoning exponents.