scholarly journals Time-dependent local-to-normal mode transition in triatomic molecules

2017 ◽  
Vol 116 (1) ◽  
pp. 77-92 ◽  
Author(s):  
Hans Cruz ◽  
Marisol Bermúdez-Montaña ◽  
Renato Lemus
Keyword(s):  
Normal Mode ◽  
Time Dependent ◽  
Mode Transition ◽  
Triatomic Molecules

Secondary Instabilities in Breaking Inertia–Gravity Waves

2012 ◽  
Vol 69 (1) ◽  
pp. 303-322 ◽  
Author(s):  
Mark D. Fruman ◽  
Ulrich Achatz
Keyword(s):  
Normal Mode ◽  
Gravity Waves ◽  
Singular Vector ◽  
Initial Conditions ◽  
Velocity Shear ◽  
Time Dependent ◽  
Unstable Wave ◽  
Singular Vectors ◽  
Secondary Instabilities ◽  
Inertia Gravity Waves

Abstract The three-dimensionalization of turbulence in the breaking of nearly vertically propagating inertia–gravity waves is investigated numerically using singular vector analysis applied to the Boussinesq equations linearized about three two-dimensional time-dependent basic states obtained from nonlinear simulations of breaking waves: a statically unstable wave perturbed by its leading transverse normal mode, the same wave perturbed by its leading parallel normal mode, and a statically stable wave perturbed by a leading transverse singular vector. The secondary instabilities grow through interaction with the buoyancy gradient and velocity shear in the basic state. Which growth mechanism predominates depends on the time-dependent structure of the basic state and the wavelength of the secondary perturbation. The singular vectors are compared to integrations of the linear model using random initial conditions, and the leading few singular vectors are found to be representative of the structures that emerge in the randomly initialized integrations. A main result is that the length scales of the leading secondary instabilities are an order of magnitude smaller than the wavelength of the initial wave, suggesting that the essential dynamics of the breaking might be captured by tractable nonlinear three-dimensional simulations in a relatively small triply periodic domain.

Duffing's oscillator and the normal to local mode transition in AB2 triatomic molecules

1994 ◽  
Vol 219 (5-6) ◽  
pp. 331-338 ◽  
Author(s):  
G.M. Schmid ◽  
S. Coy ◽  
R.W. Field ◽  
R.J. Silbey
Keyword(s):  
Local Mode ◽  
Mode Transition ◽  
Triatomic Molecules

Influence of Spatially Dependent Electric Fields on Surface Wave Parameters in Mercury

1971 ◽  
Vol 49 (22) ◽  
pp. 2733-2742 ◽  
Author(s):  
G. N. Ionides ◽  
F. L. Curzon
Keyword(s):  
Surface Wave ◽  
Surface Waves ◽  
Normal Mode ◽  
Electric Fields ◽  
Applied Field ◽  
Surface Film ◽  
Time Dependent ◽  
Wave Parameters ◽  
Oscillation Frequencies ◽  
Good Agreement

This paper is an account of the influence of spatially nonuniform, time dependent electric fields on the amplitude, damping, and oscillation frequencies of surface waves on mercury. The results show that, by tailoring the geometry of the applied field, any single normal mode of desired geometry can be excited. Observations of the damping frequency are in very good agreement with a theory in which an immobile surface film is assumed on the mercury.

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