Phys. Rev. Lett. 79, 4842–4845 (1997)Persistence, Poisoning, and Autocorrelations in Dilute CoarseningReceived 29 July 1997; published in the issue dated 15 December 1997 We calculate the exact autocorrelation exponent λ and persistence exponent θ, and also amplitudes, in the dilute limit of phase ordering for dimensions d≥2. In the Lifshitz-Slyozov-Wagner limit of conserved order parameter dynamics we find θ = γdε, a universal constant times the volume fraction. For autocorrelations, λ = d at intermediate times, with a late time crossover to λ≥d/2+2. We also derive λ and θ for globally conserved dynamics and relate these to the q→∞–state Potts model and soap froths, proposing new poisoning exponents. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.4842
DOI:
10.1103/PhysRevLett.79.4842
PACS:
64.60.Cn, 05.40.+j, 82.20.Mj
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