EXPERIMENTAL-MEASUREMENT OF THE PERSISTENCE EXPONENT OF THE PLANAR ISING-MODEL

Citation
B. Yurke et al., EXPERIMENTAL-MEASUREMENT OF THE PERSISTENCE EXPONENT OF THE PLANAR ISING-MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(1), 1997, pp. 40-42
Citations number
36
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
56
Issue
1
Year of publication
1997
Part
A
Pages
40 - 42
Database
ISI
SICI code
1063-651X(1997)56:1<40:EOTPEO>2.0.ZU;2-2
Abstract
Using a twisted nematic liquid crystal system exhibiting planar Ising model dynamics, we have measured the scaling exponent theta, which cha racterizes the time evolution p(t)similar to t(-theta), of the probabi lity p(t) that the local order parameter has not switched its state by the time t. For 0.4 sec-200 set following the phase quench, the syste m exhibits scaling behavior and, measured over this interval, theta=0. 19+/-0.03, in good agreement with theoretical analysis and numerical s imulations.