Eckhaus and Benjamin-Feir instabilities near a weakly inverted bifurcation

Journal Article · Sun Mar 15 00:00:00 EST 1992 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.45.3732· OSTI ID:7278181

Brand, H R ^[1]; Deissler, R J ^[2]

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1. Fachbereich 7, Physik, Universitaet Essen, D 4300 Essen 1 (Germany) Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545 (United States)
2. Institute for Computational Mechanics in Propulsion, MS5-3, NASA Lewis Research Center, 21000 Brookpark Road, Cleveland, Ohio 44135 (United States) Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545 (United States)

We investigate how the criteria for two prototype instabilities in one-dimensional pattern-forming systems, namely for the Eckhaus instability and for the Benjamin-Feir instability, change as one goes from a continuous bifurcation to a spatially periodic or spatially and/or time-periodic state to the corresponding weakly inverted, i.e., hysteretic, cases. We also give the generalization to two-dimensional patterns in systems with anisotropy as they arise, for example, for hydrodynamic instabilities in nematic liquid crystals.

• OSTI ID: 7278181
• Journal Information: Physical Review A. General Physics; (United States), Vol. 45:6; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FLUIDS
INSTABILITY
PATTERN RECOGNITION
ANISOTROPY
CONVECTION
ENERGY LOSSES
HYDRODYNAMICS
ONE-DIMENSIONAL CALCULATIONS
STOCHASTIC PROCESSES
TEMPERATURE EFFECTS
TWO-DIMENSIONAL CALCULATIONS
ENERGY TRANSFER
FLUID MECHANICS
HEAT TRANSFER
LOSSES
MASS TRANSFER
MECHANICS
661300* - Other Aspects of Physical Science- (1992-)