DOMAIN STATISTICS IN COARSENING SYSTEMS

Authors
KRAPIVSKY PL BENNAIM E
Citation
Pl. Krapivsky et E. Bennaim, DOMAIN STATISTICS IN COARSENING SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(4), 1997, pp. 3788-3798
Citations number
58
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
56
Issue
4
Year of publication
1997
Pages
3788 - 3798
Database
ISI
SICI code
1063-651X(1997)56:4<3788:DSICS>2.0.ZU;2-2
Abstract
We study the domain number and size distributions in the one-dimension al Ising and q-state Potts models subject to zero-temperature Glauber dynamics. The survival probability of a domain S(t)similar to t(-psi) and an unreacted domain Q(1)(t)similar to t(-delta) are characterized by two independent nontrivial exponents. For the Ising case, we find p si = 0.126 and delta = 1.27 using numerical simulations. We develop an independent interval approximation that predicts the qualitative beha vior of the domain distribution and provides good estimates for the ex ponents. Exact results for the domain distribution are also obtained i n several solvable cases.