Persistence, Poisoning, and Autocorrelations in Dilute Coarsening
| dc.creator | Lee, Benjamin P. | |
| dc.creator | Rutenberg, Andrew D. | |
| dc.date | 1997-07-22 | |
| dc.date | 1998-01-23 | |
| dc.date.accessioned | 2026-07-07T09:02:44Z | |
| dc.date.available | 2026-07-07T09:02:44Z | |
| dc.description | 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. | |
| dc.description | 4 pages, revtex. References added, abstract shortened | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9707228 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9707228 | |
| dc.identifier | Phys. Rev. Lett. 79, 4842 (1997) | |
| dc.identifier | doi:10.1103/PhysRevLett.79.4842 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148740 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Persistence, Poisoning, and Autocorrelations in Dilute Coarsening | |
| dc.type | text |