Multiple Front Propagation Into Unstable States

Details Multiple Front Propagation Into Unstable States Multiple Front Propagation Into Unstable States

1993-12-13

arxiv.org/abs/cond-mat/9312050v1

Phys. Rev. E 50, 377-385 (1994)

Physics

Condensed Matter

12 pages

Scientific paper

The dynamics of transient patterns formed by front propagation in extended nonequilibrium systems is considered. Under certain circumstances, the state left behind a front propagating into an unstable homogeneous state can be an unstable periodic pattern. It is found by a numerical solution of a model of the Fr\'eedericksz transition in nematic liquid crystals that the mechanism of decay of such periodic unstable states is the propagation of a second front which replaces the unstable pattern by a another unstable periodic state with larger wavelength. The speed of this second front and the periodicity of the new state are analytically calculated with a generalization of the marginal stability formalism suited to the study of front propagation into periodic unstable states. PACS: 47.20.Ky, 03.40.Kf, 47.54.+r

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