Mode coupling effects on alpha‐particle‐driven long wavelength Alfvén wave instability

1993 ◽  
Vol 5 (8) ◽  
pp. 2736-2738 ◽  
Author(s):  
F. Y. Gang ◽  
J.‐N. Leboeuf
Keyword(s):  
Alpha Particle ◽  
Mode Coupling ◽  
Alfven Wave ◽  
Coupling Effects ◽  
Wave Instability ◽  
Long Wavelength

scholarly journals Scenarios for the nonlinear evolution of alpha-particle-induced Alfvén wave instability

1992 ◽  
Vol 68 (24) ◽  
pp. 3563-3566 ◽  
Author(s):  
H. L. Berk ◽  
B. N. Breizman ◽  
Huanchun Ye
Keyword(s):  
Alpha Particle ◽  
Nonlinear Evolution ◽  
Alfven Wave ◽  
Wave Instability

Photorefractive waveguides and nonlinear mode coupling effects

1989 ◽  
Vol 54 (8) ◽  
pp. 684-686 ◽  
Author(s):  
Baruch Fischer ◽  
Mordechai Segev
Keyword(s):  
Mode Coupling ◽  
Coupling Effects ◽  
Nonlinear Mode ◽  
Nonlinear Mode Coupling

Anomalous mode coupling effects in dense classical liquids

1985 ◽  
Vol 75 (1-3) ◽  
pp. 437-442 ◽  
Author(s):  
T.R. Kirkpatrick
Keyword(s):  
Mode Coupling ◽  
Coupling Effects

Negative energy standing wave instability in the presence of flow

2018 ◽  
Vol 84 (1) ◽  
Author(s):  
Michael S. Ruderman
Keyword(s):  
Standing Wave ◽  
Negative Energy ◽  
Flow Speed ◽  
Tangential Discontinuity ◽  
Positive Energy ◽  
Wave Instability ◽  
Long Wavelength ◽  
Backward Wave ◽  
Moving Plasma ◽  
The Difference

We study standing waves on the surface of a tangential discontinuity in an incompressible plasma. The plasma is moving with constant velocity at one side of the discontinuity, while it is at rest at the other side. The moving plasma is ideal and the plasma at rest is viscous. We only consider the long wavelength limit where the viscous Reynolds number is large. A standing wave is a superposition of a forward and a backward wave. When the flow speed is between the critical speed and the Kelvin–Helmholtz threshold the backward wave is a negative energy wave, while the forward wave is always a positive energy wave. We show that viscosity causes the standing wave to grow. Its increment is equal to the difference between the negative energy wave increment and the positive energy wave decrement.

Electromagnetic instability supported by a rippled, magnetically focused relativistic electron beam

1984 ◽  
Vol 31 (2) ◽  
pp. 239-251 ◽  
Author(s):  
S. Cuperman ◽  
F. Petran ◽  
A. Gover
Keyword(s):  
Electron Beam ◽  
Dispersion Relation ◽  
Growth Rates ◽  
Relativistic Electron Beam ◽  
Electron Beams ◽  
Wave Instability ◽  
Electrostatic Waves ◽  
Long Wavelength ◽  
Ripple Amplitude ◽  
Electromagnetic Instability

The coupling of volume, long-wavelength TM electromagnetic and longitudinal space charge (electrostatic) waves by the rippling of magnetically focused electron beams is examined analytically. The dispersion relation is obtained and then solved for these types of wave. Instability, with growth rates proportional to the relative ripple amplitude of the beam, is found and discussed.

scholarly journals Cooperatively rearranging regions change shape near the mode-coupling crossover for colloidal liquids on a sphere

2020 ◽  
Vol 11 (1) ◽  
Author(s):  
Navneet Singh ◽  
A. K. Sood ◽  
Rajesh Ganapathy
Keyword(s):  
Glass Transition ◽  
Mode Coupling ◽  
Three Dimensional ◽  
Order Theory ◽  
True Nature ◽  
Long Wavelength ◽  
Slowing Down ◽  
First Order Theory ◽  
Colloidal Liquids ◽  
Strong Curvature

Abstract The structure and dynamics of liquids on curved surfaces are often studied through the lens of frustration-based approaches to the glass transition. Competing glass transition theories, however, remain largely untested on such surfaces and moreover, studies hitherto have been entirely theoretical/numerical. Here we carry out single particle-resolved imaging of dynamics of bi-disperse colloidal liquids confined to the surface of a sphere. We find that mode-coupling theory well captures the slowing down of dynamics in the moderate to deeply supercooled regime. Strikingly, the morphology of cooperatively rearranging regions changed from string-like to compact near the mode-coupling crossover—a prediction unique to the random first-order theory of glasses. Further, we find that in the limit of strong curvature, Mermin–Wagner long-wavelength fluctuations are irrelevant and liquids on a sphere behave like three-dimensional liquids. A comparative evaluation of competing mechanisms is thus an essential step towards uncovering the true nature of the glass transition.

Stability of flow in a channel with longitudinal grooves

2014 ◽  
Vol 757 ◽  
pp. 613-648 ◽  
Author(s):  
H. V. Moradi ◽  
J. M. Floryan
Keyword(s):  
Reynolds Number ◽  
Small Amplitude ◽  
Arbitrary Shape ◽  
Critical Reynolds Number ◽  
Critical Role ◽  
Three Dimensional ◽  
Travelling Wave ◽  
Two Dimensional ◽  
Wave Instability ◽  
Long Wavelength

AbstractThe travelling wave instability in a channel with small-amplitude longitudinal grooves of arbitrary shape has been studied. The disturbance velocity field is always three-dimensional with disturbances which connect to the two-dimensional waves in the limit of zero groove amplitude playing the critical role. The presence of grooves destabilizes the flow if the groove wavenumber $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\beta $ is larger than $\beta _{tran}\approx 4.22$, but stabilizes the flow for smaller $\beta $. It has been found that $\beta _{tran}$ does not depend on the groove amplitude. The dependence of the critical Reynolds number on the groove amplitude and wavenumber has been determined. Special attention has been paid to the drag-reducing long-wavelength grooves, including the optimal grooves. It has been demonstrated that such grooves slightly increase the critical Reynolds number, i.e. such grooves do not cause an early breakdown into turbulence.

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