Effect of collisions on wave-particle resonance—II

1971 ◽  
Vol 30 (6) ◽  
pp. 551-559
Author(s):  
OM KAR NATH ◽  
R N. SINGH
Keyword(s):  
Particle Resonance

scholarly journals Some Recent Developments in the Theory of Spiral Structure

1974 ◽  
Vol 58 ◽  
pp. 413-415
Author(s):  
G. Contopoulos
Keyword(s):  
Dispersion Relation ◽  
Special Interest ◽  
Surface Density ◽  
Spiral Structure ◽  
Density Wave ◽  
Recent Theory ◽  
Recent Developments ◽  
Particle Resonance ◽  
Forbidden Region ◽  
Image Position

The particle resonance in a galaxy is of special interest because, according to the recent theory of Lynden-Bell and Kalnajs (1972), it provides the excitation of the density waves. In particular it is of interest to know if the density wave reaches the particle resonance, because the dispersion relation derived by Lin and Shu (1966) has a forbidden region if the parameter where (with α0 the surface density and κ the epicyclic frequency), is larger than one. If Q= 1, Lin and Shu find two waves going through the resonance but the amplitude tends to infinity there.

The coherent wave–particle resonance perturbed by turbulence

1978 ◽  
Vol 19 (1) ◽  
pp. 43-53 ◽  
Author(s):  
Armando L. Brinca
Keyword(s):  
Relative Intensity ◽  
Resonance Effect ◽  
Interaction Time ◽  
Time Interval ◽  
Stochastic Fields ◽  
Coherent Mode ◽  
Time Estimates ◽  
Coherent Wave ◽  
Upper Limits ◽  
Particle Resonance

Stochastic fields perturb the evolution of coherent wave–particle resonances. Knowledge of the probabifity distribution obeyed by the trapping parameter places upper limits on the time interval where the noiseless description of the resonance is acceptable. Alternatively, given the interaction time, estimates of the relative intensity of the coherent mode and turbulent fields required for a typical resonance effect to occur are obtained.

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