Nonlinear pattern and wave-number selection in convecting binary mixtures

Jay Fineberg and Elisha Moses

Department of Nuclear Physics, Weizmann Institute of Science, Rehovot, 76100, Israel

Victor Steinberg

Department of Nuclear Physics, Weizmann Institute of Science, Rehovot, 76100, Israel

Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Received 25 July 1988

We investigate the transition from weakly nonlinear to nonlinear traveling-wave states. Pattern selection due to a transition from convective to absolute instability conditions is found, in good agreement with theory. While the linear properties depend on the (boundary-dependent) threshold of convection, the weakly nonlinear properties refer back to the threshold of an infinite system.