Multiple Front Propagation into Unstable States

Montagne, R.; Amengual, A.; Hernández-García, E.; San Miguel, M.
Physical Review E 50, 377-385 (1994)

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 Fréedericksz 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 another unstable periodic state with a 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.

Link to the paper at Los Alamos preprint server (now arXiv): http://arxiv.org/abs/patt-sol/9312001

Additional files


Esta web utiliza cookies para la recolección de datos con un propósito estadístico. Si continúas navegando, significa que aceptas la instalación de las cookies.


Más información De acuerdo