Multiple Front Propagation into Unstable States
摘要
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
引用
@article{arxiv.patt-sol/9312001,
title = {Multiple Front Propagation into Unstable States},
author = {R. Montagne and A. Amengual and E. Hernandez-Garcia and M. San Miguel},
journal= {arXiv preprint arXiv:patt-sol/9312001},
year = {2009}
}
备注
12 pages, uuencoded, compressed, postscript file, RevTeX 3.0