Abstract
Mixtures of 3He in superfluid 4He provide an interesting and potentially important system for testing theories of convection and for studying turbulent convective flow. We will briefly review the properties of these mixtures and why they might be interesting for studying large Rayleigh number turbulent convection. We will then briefly discuss some of the recent findings for this system.
This is a preview of subscription content, log in via an institution to check access.
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
A. Ya. Parshin, A. Ya., JETP Lett. 10/12, 362 (1969).
V. Steinberg, V., Phys. Rev. A 24, 975 (1981)
V. Steinberg, V., Phys. Rev. A 24, 2584 (1981).
A. L. Fetter, A. L., Phys. Rev. B 26, 1164 (1982)
A. L. Fetter, A. L., Phys. Rev. B 26, 1174(1982).
H. Haucke, Y. Maeno, P. Warkentin, P. & J. Wheatley, J. Low Temp. Phys. 44, 505 (1981).
H. Haucke, R. E. Ecke, Y. Maeno, and J. C. Wheatley, Phys. Rev. Lett. 53, 2090 (1984)
H. Haucke, H., R. E. Ecke, Y. Maeno, & J. Wheatley, Phy. Rev. Lett. 53, 2090 (1984).
R. E. Ecke, H. Haucke, J. & Wheatley, Can. J. Phys. 65, 1322 (1987).
R.E. Ecke, H. Haucke, Y. Maeno, & J. C. Wheatley, Phys. Rev. A 33, 1870 (1986).
R. Mainieri, R. T., S. Sullivan, & R. E. Ecke, Phys. Rev. Lett. 63, 2357 (1989).
G. P. Metcalfe and R. P. Behringer, Phys. Rev. A 41, 5735 (1990)
G. P. Metcalfe and R. P. Behringer, Physica D51, 520 (1991)
G. P. Metcalfe and R. P. Behringer, Int. J. Bifur. Chaos 3, 677 (1993).
G. P. Metcalfe and R. P. Behringer, J. Low Temp. Phys. 90, 95 (1993).
G. Metcalfe and R. P. Behringer, Phys. Rev. E 49, 3572 (1994).
G. Metcalfe and R. P. Behringer, J. Fluid Mech. 307, 269 (1996)
G. Metcalfe and R. P. Behringer, J. Fluid Mech. 307 297 (1996).
R.M. Clever and F. H. Busse, J. Fluid Mech. 65, 665 (1974)
E. W. Bolton, F. H. Busse, & R. M. Clever, R. M., J. Fluid Mech. 164, 469 (1986)
F. H. Busse & R. M. Clever, J. Fluid Mech. 91, 319 (1979).
J. Guckenheimer, J. H. & P. Holmes, P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer, 1983.
G. S. Charlson, & and R. L. Sani, J. Fluid Mech. 71, 209 (1975).
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability. Dover, 1961.
M. C. Cross & P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
R. P. Behringer, Rev. Mod. Phys. 57, 657 (1985).
A. C. Newell, T. Passot, M. & Souli, J. Fluid Mech. 220, 187 (1990).
Guenter Ahlers and R. P. Behringer, Phys. Rev. Lett. 40, 712 (1978).
Guenter Ahlers and R. P. Behringer, Supp. Prog. Theor. Phys. 64, 186 (1978)
E. Bodenschatz, J. R. de Bruyn, G. Ahlers, G & D. S. Cannell, Phys. Rev. Lett. 67, 3078 (1991).
V. Croquette, Contemporary Physics, 30, 113 (1989).
R. J. Deissler, R. E. Ecke, & H. Haucke, Phys. Rev. A 36, 4390 (1987).
H. R. Brand, P. C. Hohenberg, & V. Steinberg Phys. Rev. A 30, 2548 (1984).
I. Rehberg, G & G. Ahlers, Phys. Rev. Lett. 55 500 (1985).
T. S. Sullivan and G. Ahlers, Phys. Rev. Lett. 63, 2357 (1988).
S. W. Morris, E. Bodenschatz, D. S. Cannell. G. & Ahlers Phys. Rev. Lett. 71, 2026 (1993).
R.W. Motsay, K. E. Anderson, K.E. & R. P. Behringer, J. Fluid Mech. 189, 263 (1988).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Behringer, R.P. (1998). Convection in 3 He-Superfluid-4 He: A Novel System for Studying Convective Instabilities and Turbulence. In: Donnelly, R.J., Sreenivasan, K.R. (eds) Flow at Ultra-High Reynolds and Rayleigh Numbers. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2230-9_18
Download citation
DOI: https://doi.org/10.1007/978-1-4612-2230-9_18
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7464-3
Online ISBN: 978-1-4612-2230-9
eBook Packages: Springer Book Archive