Persistence, Poisoning, and Autocorrelations in Dilute Coarsening

Benjamin P. Lee and Andrew D. Rutenberg
Phys. Rev. Lett. 79, 4842 – Published 15 December 1997
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Abstract

We calculate the exact autocorrelation exponent λ and persistence exponent θ, and also amplitudes, in the dilute limit of phase ordering for dimensions d2. 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 λd/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.

  • Received 29 July 1997

DOI:https://doi.org/10.1103/PhysRevLett.79.4842

©1997 American Physical Society

Authors & Affiliations

Benjamin P. Lee

  • Polymers Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899

Andrew D. Rutenberg

  • Theoretical Physics, University of Oxford, Oxford OX1 3NP, United Kingdom

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Vol. 79, Iss. 24 — 15 December 1997

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