MULTIPLE FRONT PROPAGATION IN A POTENTIAL NON-GRADIENT SYSTEM

Details MULTIPLE FRONT PROPAGATION IN A POTENTIAL NON-GRADIENT SYSTEM MULTIPLE FRONT PROPAGATION IN A POTENTIAL NON-GRADIENT SYSTEM

1995-02-14

arxiv.org/abs/patt-sol/9502003v2

in 'Instabilities and Nonequilibrium Structures V', Eds. E. Tirapegui and W. Zeller, Kluwer Publisher, 1996

Physics

Condensed Matter

13 pages of text including 6 Figures in a tar-compressed and uuencoded file (using uufiles package). To appear in "Instabiliti

Scientific paper

A classification of dynamical systems in terms of their variational properties is reviewed. Within this classification, front propagation is discussed in a non-gradient relaxational potential flow. The model is motivated by transient pattern phenomena in nematics. A front propagating into an unstable homogenous state leaves behind an unstable periodic pattern, which decays via a second front and a second periodic state. An interface between unstable periodic states is shown to be a source of propagating fronts in opposite directions.

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