Abstract
We outline a simple derivation of a generalized Swift-Hohenberg model (GSH) and present a numerical study of mean-flow induced spiral turbulence for this model in two dimensions. We show that this model has a spatiotemporal chaotic state comprised of a large number of rotating spirals. These results are quite similar to recent experimental observations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H.L. Swinney and V.I. Krinsky, Waves and Patterns in Chemical and Biological Media, Physica D 49, pp.1 1991.
A.T. Winfree, Science 175, 634 (1972)
S.C. Muller, T. Plesser and B. Hess, Science 230, 661 (1985).
W.Y. Tam, W. Horsthemke, Z. Noszticzius and H. Swinney, J. Chem. Phys. 88, 3395 (1988).
G.S. Skinner and H. Swinney, Physica D 48, 1 (1991).
E. Bodenschatz, J.R. de Bruyn, G. Ahlers and D.S. Cannell, Phys. Rev. Lett. 67, 3078 (1991).
S. W. Morris, E. Bodenschatz, D.S. Cannell and G. Ahlers Phys. Rev. Lett. 71, 2026 (1993).
H.W. Xi, J.D. Gunton and J. Viñals, Phys. Rev. Lett 71, 2030–2033 (1993).
M.C. Cross and P.C. Hohenberg, Rev.Mod.Phys. 65, 3 (1993).
J. Swift and P.C. Hohenberg, Phys. Rev. A 15, 319 (1977).
M.C. Cross, Phys. Fluids 23, 1727 (1980).
M.C. Cross, Phys. Rev. A 25, 1065 (1982).
M.C. Cross, Phys. Rev. A 27, 490 (1983).
H.S. Greenside and W.M. Coughran Jr., and N. L. Schryer, Phys. Rev. Lett. 49, 726 (1982).
H.S. Greenside and W.M. Coughran Jr., Phys. Rev. A 30, 398 (1984).
H.S. Greenside and M.C. Cross, Phys. Rev. A 31, 2492 (1985). au[10]_P. Manneville, J. Physique 44, 759 (1983).
E.D. Siggia and A. Zippelius, Phys. Rev. Lett. 47, 835 (1981).
A. Zippelius and E.D. Siggia, Phys. Rev. A 26, 178 (1982).
F.H. Busse, J. Fluid Mech. 30, 625 (1967).
P. E. Bjørstad, W. M. Coughran, Jr, H. S. Greenside, D. J. Rose and N. L. Schryer Elliptic Problem Solvers II, (Academic Press, New York, 1984).
H.W. Xi, J.D. Gunton and J. Viñals, manuscript in preparation.
M. Assenheimer and V. Steinberg, Nature. 367, 345, (1994).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Xi, H.W., Gunton, J.D., Viñals, J. (1994). Complexity in Rayleigh-Bénard Convection. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics VII. Springer Proceedings in Physics, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79293-9_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-79293-9_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-79295-3
Online ISBN: 978-3-642-79293-9
eBook Packages: Springer Book Archive