Persistence, Poisoning, and Autocorrelations in Dilute Coarsening

Details Persistence, Poisoning, and Autocorrelations in Dilute Coarsening Persistence, Poisoning, and Autocorrelations in Dilute Coarsening

1997-07-22

arxiv.org/abs/cond-mat/9707228v2

Phys. Rev. Lett. 79, 4842 (1997)

Physics

Condensed Matter

Statistical Mechanics

4 pages, revtex. References added, abstract shortened

Scientific paper

10.1103/PhysRevLett.79.4842

We calculate the exact autocorrelation exponent lambda and persistence exponent theta, 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 theta = gamma_d*epsilon, a universal constant times the volume fraction. For autocorrelations, lambda = d at intermediate times, with a late time crossover to lambda >= d/2 + 2. We also derive lambda and theta for globally conserved dynamics and relate these to the q->infinity -state Potts model and soap froths, proposing new poisoning exponents.

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