MULTIPLE FRONT PROPAGATION INTO UNSTABLE STATES

Citation
R. Montagne et al., MULTIPLE FRONT PROPAGATION INTO UNSTABLE STATES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(1), 1994, pp. 377-385
Citations number
34
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
50
Issue
1
Year of publication
1994
Pages
377 - 385
Database
ISI
SICI code
1063-651X(1994)50:1<377:MFPIUS>2.0.ZU;2-4
Abstract
The dynamics of transient patterns formed by front propagation in exte nded nonequilibrium systems is considered. Under certain circumstances , the state left behind a front propagating into an unstable homogeneo us state can be an unstable periodic pattern. It is found by a numeric al solution of a model of the Freedericksz transition in nematic liqui d crystals that the mechanism of decay of such periodic unstable state s is the propagation of a second front which replaces the unstable pat tern by another unstable periodic state with a larger wavelength. The speed of this second front and the periodicity of the new state are an alytically calculated with a generalization of the marginal stability formalism suited to the study of front propagation into periodic unsta ble states.