updated   Nov 25 2002

Faraday waves literature

0 Faraday instability, T. Cvitanovic' notes (Nov 26 2002) - tex - bib
A summary of the derivation of the equations.
1 On a peculiar class of Acoustical Figures, M. Faraday, Philos. Trans. R.Soc. London 52 (1831)
Careful experimentation, but absolutely clueless about mathematical mode of description - this kind of English empiricism must have driven French mathematicians cookoo.
2 The Stability of the Plane Free Surface of a Liquid in Vertical Periodic Motion, T. B. Benjamin, F. Ursell, Proc Royal Society of London. Series A, Math Phys 225 (1954), pp. 505-515.
A pedagogical exposition of the Mathieu function stability analysis in the ideal Euler fluid approximation.
3 Linear Theory of Faraday Instability in Viscous Liquids, Krishna Kumar, Proc Royal Society of London. Series A, Math Phys 452, (1996), pp. 1113-1126.
4 Parametric instability of the interface between two fluids, K. Kumar and L.S. Tuckerman, J. Fluid Mech. 279, 49-68 (1994) (file not available)
5 Patterns and quasi-patterns in the Faraday experiment, W.S. Edwards and S. Fauve, J. Fluid Mech. 278, 123-148 (1994) (file not available)
6 Two-frequency parametric excitation of surface waves Phys. Rev. E 54, 507-513 (1996), T Besson, WS Edwards and LS Tuckerman
7 Theoretical Model for Faraday Waves with Multiple-Frequency Forcing, Ron Lifshitz, Dean M. Petrich
8 A Simple Model for Faraday Waves, J Bechhoefer and B Johnson
9 Pattern selection in Faraday waves, P. Chen and J. Viņals, Phys. Rev. Lett. 79, 2670 (1997).
10 Amplitude equations and pattern selection in Faraday waves, P. Chen and J. Viņals, Phys. Rev. E. 60, 551 (1999).
12 Faraday patterns in Bose-Einstein condensates, K. Staliunas, S. Longhi, G. J. de Valcarcel
Mike Schatz recommendatios:

Parametrically Forced Surface Waves, J Miles and D Henderson, Annu. Rev. Fluid Mech. 1990, Vol. 22: 143-165 . (file not available)
--rather dated but good overview (not much on pattern formation).

patterns article by Douady
Journal of Fluid Mechanics
from early 90's---very clear exposition on basic pattern forming aspects (no fancy stuff like quasipatterns)

Faraday waves links

Faraday waves - Copenhagen
M Levinsen papers (mostly on experimental turbulence/scaling)
Faraday waves - Caltech
Faraday waves - Eidenhaven
Faraday Waves - Toronto
Faraday Waves - Simon Frazer
Faraday waves - Haverford
Faraday waves - Mainz
surface waves - Gollub video

Further links

Eindhoven U - Fluid Dynamics Laboratory
J Gollub
E Bodenschatz
Arshad Kudrolli
Michael Cross
Ernst Florens Friedrich Chladni
Michael Faraday
Herman Ludwig Ferdinand Helmholtz