Bistable Systems with Propagating Fronts Leading to Pattern Formation

G. T. Dee and Wim van Saarloos
Phys. Rev. Lett. 60, 2641 – Published 20 June 1988
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Abstract

We discuss a dynamical transition in the propagation of fronts into an unstable state of a bistable system. In one regime, the front leads to a new form of pattern formation, in which a periodic state consisting of kinks and antikinks emerges whose wavelength diverges at the transition with an exponent frac32;. In the particular model studied, this periodic state is actually weakly unstable.

  • Received 14 December 1987

DOI:https://doi.org/10.1103/PhysRevLett.60.2641

©1988 American Physical Society

Authors & Affiliations

G. T. Dee

  • Central Research and Development Department, E. I. DuPont de Nemours & Company, Experimental Station, Wilmington, Delaware 19898

Wim van Saarloos

  • AT&T Bell Laboratories, Murray Hill, New Jersey 07974

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Vol. 60, Iss. 25 — 20 June 1988

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