Persistence and life time distribution in coarsening phenomena

Citation
V. Sridhar et al., Persistence and life time distribution in coarsening phenomena, PHYSICA A, 297(3-4), 2001, pp. 411-420
Citations number
27
Categorie Soggetti
Physics
Journal title
PHYSICA A
ISSN journal
03784371 → ACNP
Volume
297
Issue
3-4
Year of publication
2001
Pages
411 - 420
Database
ISI
SICI code
0378-4371(20010815)297:3-4<411:PALTDI>2.0.ZU;2-7
Abstract
We investigate the lifetime distribution P(tau, t) in one and two dimension al coarsening processes modelled by Ising-Glauber dynamics at zero temperat ure. The lifetime tau is defined as the time that elapses between two succe ssive flips in the time interval (0,t) or between the last flip and the obs ervation time t. We calculate P(tau, t) averaged over all the spins in the system and over several initial disorder configurations. We find that asymp totically the lifetime distribution obeys a scaling ansatz: P(tau, t) = t(- 1) phi(xi), where xi = tau /t. The scaling function phi(xi) is singular at xi = 0 and 1, mainly due to slow dynamics and persistence. An independent l ifetime model where the lifetimes arc sampled From a distribution with powe r law tail is presented, which predicts analytically the qualitative featur es of the scaling function. The need for going beyond the independent lifet ime models for predicting the scaling function for the Ising-Glauber system s is indicated. (C) 2001 Elsevier Science B.V. All rights reserved.