Parity-breaking transitions of modulated patterns in hydrodynamic systems

P. Coullet, Raymond E. Goldstein, and Gemunu H. Gunaratne
Phys. Rev. Lett. 63, 1954 – Published 30 October 1989
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Abstract

A model for subcritical parity-breaking bifurcation of a periodic pattern is introduced. It is found that nucleated regions of the new asymmetric state propagate with a well-defined velocity in a direction determined by their parity, and leave in their wake a pattern with an altered wavelength. Successive passage of these ‘‘parity bubbles’’ enables the system to relax to a selected wavelength. The possible relevance of these findings to recent observations of ‘‘solitary modes’’ in directional solidification and hydrodynamic experiments is discussed.

  • Received 3 August 1989

DOI:https://doi.org/10.1103/PhysRevLett.63.1954

©1989 American Physical Society

Authors & Affiliations

P. Coullet

  • Laboratoire de Physique Théorique, Université de Nice, Nice 06034 CEDEX, France

Raymond E. Goldstein and Gemunu H. Gunaratne

  • The Research Institutes, The University of Chicago, 5640 Ellis Avenue, Chicago, Illinois 60637

Comments & Replies

Comment on ‘‘Parity-breaking transitions of modulated patterns in hydrodynamic systems’’

S. Fauve, S. Douady, and O. Thual
Phys. Rev. Lett. 65, 385 (1990)

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Vol. 63, Iss. 18 — 30 October 1989

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