RANDOM PINNING OF LOCALIZED STATES AND THE BIRTH OF DETERMINISTIC DISORDER WITHIN GRADIENT MODELS

Authors
GORSHKOV KA KORZINOV LN RABINOVICH MI TSIMRING LS
Citation
Ka. Gorshkov et al., RANDOM PINNING OF LOCALIZED STATES AND THE BIRTH OF DETERMINISTIC DISORDER WITHIN GRADIENT MODELS, Journal of statistical physics, 74(5-6), 1994, pp. 1033-1045
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
74
Issue
5-6
Year of publication
1994
Pages
1033 - 1045
Database
ISI
SICI code
0022-4715(1994)74:5-6<1033:RPOLSA>2.0.ZU;2-S
Abstract
The birth of spatial disorder from almost regular initial conditions w ithin the Swift-Hohenberg model equation with subcritical bifurcation is considered. The complexity of the space series (measured by the spa tial K2-entropy) grows with time and reaches a stationary value depend ing on the period of the initial regular disturbance. A qualitative mo del is suggested describing the process via the birth of localized str uctures and its subsequent disordering due to weak interaction.