Two-dimensional beam in a time-varying magnetic field. the brillouin flow as an asymptotic attractor

1983 ◽  
Vol 98 (7) ◽  
pp. 309-312 ◽  
Author(s):  
J.L. Duranceau ◽  
S. Bouquet ◽  
E. Fijalkow ◽  
M.R. Feix
Soft Matter ◽  
2021 ◽  
Author(s):  
Mohammed Elismaili ◽  
Lydiane Bécu ◽  
Hong Xu ◽  
David Gonzalez-Rodriguez

We study experimentally and theoretically the dynamics of two-dimensional clusters of paramagnetic colloids under a time-varying magnetic field.


2009 ◽  
Vol 23 (12n13) ◽  
pp. 2703-2707
Author(s):  
R. G. MANI

Tuned narrow-band-sensing of microwave and terahertz radiation can be realized by subjecting an irradiated two-dimensional electron system to both a static and a time varying magnetic field, and detecting at the harmonics of the modulation.


1985 ◽  
Vol 34 (1) ◽  
pp. 127-141 ◽  
Author(s):  
S. Bouquet ◽  
L. Cairó ◽  
M. R. Feix

Through rescaling and obtaining invariant equations, we study the expansion of charged particles immersed in a time-varying magnetic field B(t) = B0(1+Ωt)–β. We develop the theory for a configuration of point particles confined in a plane with an initial cylindrical symmetric configuration. It is found that the system expands according to (1+Ωt)2β/3 for β ≤ 1 and it is conjectured that in a properly rescaled space and time, it reaches asymptotically an inhomogeneous (in space) Brillouin flow with rigid rotation at half the cyclotron frequency (ω = ½ωc). Particular attention is given to the ‘pivot’ case β = 1. It is shown then that the radius of the rescaled configuration is now dependent on the ratio Ω/ωc, and grows indefinitely with time for Ω/> 3.2–3/2;. Numerical experiments are presented which confirm these theoretical predictions and conjectures. Finally, the properties of this system are compared with those of single-particle and ‘rod’ electrostatic models.


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