Measurement of coefficients of the Ginzburg-Landau equation for patterns of Taylor spirals

作者: Afshin Goharzadeh , Innocent Mutabazi

DOI: 10.1103/PHYSREVE.82.016306

关键词:

摘要: Patterns of Taylor spirals observed in the counter-rotating Couette-Taylor system are described by complex Ginzburg-Landau equations (CGLE) and have been investigated using spatiotemporal diagrams demodulation technique. We determined real coefficients CGLE their variations versus control parameters, i.e., rotation frequency cylinders.

参考文章(32)
Arnaud Prigent, Guillaume Grégoire, Hugues Chaté, Olivier Dauchot, Wim van Saarloos, Large-scale finite-wavelength modulation within turbulent shear flows. Physical Review Letters. ,vol. 89, pp. 014501- 014501 ,(2002) , 10.1103/PHYSREVLETT.89.014501
Paul Manneville, Dissipative Structures and Weak Turbulence Chaos - The Interplay Between Stochastic and Deterministic Behaviour. ,vol. 457, pp. 257- 272 ,(1995) , 10.1007/3-540-60188-0_59
Paul Kolodner, D. Bensimon, C. M. Surko, Traveling-wave convection in an annulus Physical Review Letters. ,vol. 60, pp. 1723- 1726 ,(1988) , 10.1103/PHYSREVLETT.60.1723
Ch. Hoffmann, M. Lücke, A. Pinter, Spiral vortices traveling between two rotating defects in the Taylor-Couette system. Physical Review E. ,vol. 72, pp. 056311- 056311 ,(2005) , 10.1103/PHYSREVE.72.056311
Igor S. Aranson, Lorenz Kramer, The world of the complex Ginzburg-Landau equation Reviews of Modern Physics. ,vol. 74, pp. 99- 143 ,(2002) , 10.1103/REVMODPHYS.74.99
Olivier Czarny, Eric Serre, Patrick Bontoux, Richard M. Lueptow, Spiral and wavy vortex flows in short counter-rotating Taylor-Couette cells Theoretical and Computational Fluid Dynamics. ,vol. 16, pp. 5- 15 ,(2002) , 10.1007/S00162-002-0070-0
Wiktor Eckhaus, Gérard Iooss, Strong selection or rejection of spatially periodic patterns in degenerate bifurcations Physica D: Nonlinear Phenomena. ,vol. 39, pp. 124- 146 ,(1989) , 10.1016/0167-2789(89)90043-2
T. M. Malanyuk, Finite-gap solutions of the Davey-Stewartson equations Journal of Nonlinear Science. ,vol. 4, pp. 1- 21 ,(1994) , 10.1007/BF02430624
K. Coughlin, P. S. Marcus, Turbulent Bursts in Couette-Taylor Flow. Physical Review Letters. ,vol. 77, pp. 2214- 2217 ,(1996) , 10.1103/PHYSREVLETT.77.2214