Burst and collapse in traveling-wave convection of a binary fluid
- 1 November 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 50 (5) , 3712-3722
- https://doi.org/10.1103/physreve.50.3712
Abstract
We report experimental results of a traveling-wave burst and collapse process occurring in convecting binary mixtures in a wide range of the control parameters. Analysis in the framework of the one-dimensional complex Ginzburg Landau (CGI) equation reveals an alternative self-focusing mechanism responsible for this behavior: faster than exponential bursting due to the destabilizing effect of the nonlinearity and collapse due to suppression of the pulse growth at the edges, leading to the destruction of the pulse by compression. The latter effect is associated with the strong nonlinear dispersion of the system. Numerical analysis, based on the CGL equation, closely matches both experimental results and theoretical considerations. The limits of validity of the proposed mechanism are also discussed.Keywords
This publication has 21 references indexed in Scilit:
- Measurement of reflection of traveling waves near the onset of binary-fluid convectionPhysical Review E, 1993
- Convection in binary fluids: Amplitude equations, codimension-2 bifurcation, and thermal fluctuationsPhysical Review E, 1993
- Reflection of traveling waves near the onset of binary-fluid convectionPhysical Review A, 1992
- Statistics and Structures of Strong Turbulence in a Complex Ginzburg-Landau EquationProgress of Theoretical Physics, 1992
- Pattern selection and transition to turbulence in propagating wavesPhysica D: Nonlinear Phenomena, 1989
- Dynamics of traveling waves near the onset of convection in binary fluid mixturesPhysica D: Nonlinear Phenomena, 1989
- Multicritical Behaviour in Binary Fluid ConvectionEurophysics Letters, 1989
- Weakly Nonlinear Traveling-Wave ConvectionPhysical Review Letters, 1988
- Spatially and Temporally Modulated Traveling-Wave Pattern in Convecting Binary MixturesPhysical Review Letters, 1988
- Traveling and Standing Waves in Binary-Fluid Convection in Finite GeometriesPhysical Review Letters, 1986