Weakly nonlinear states as propagating fronts in convecting binary mixtures

Jay Fineberg

Center for Nonlinear Dynamics and the Department of Physics, University of Texas, Austin, Texas 78712

Victor Steinberg

Department of Nuclear Physics, Weizmann Institute of Science, 76 100 Rehovot, Israel

Paul Kolodner

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

Received 27 November 1989

We present a picture of the weakly nonlinear time-dependent (blinking) traveling-wave state in the convection of binary mixtures as a propagating, spatially confined solution of coupled Landau-Ginzburg equations. Quantitative agreement with the measured slow oscillation frequency is found. In addition, a number of experimental observations regarding the blinking and confined states can be understood in this picture.