Abstract
We calculate the exact autocorrelation exponent and persistence exponent , and also amplitudes, in the dilute limit of phase ordering for dimensions . In the Lifshitz-Slyozov-Wagner limit of conserved order parameter dynamics we find , a universal constant times the volume fraction. For autocorrelations, at intermediate times, with a late time crossover to . We also derive and for globally conserved dynamics and relate these to the –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