Energy Spectra of Interacting Two-Dimensional Electrons in a Magnetic Field

1987 ◽  
pp. 89-94
Author(s):  
P. A. Maksym
Keyword(s):  
Magnetic Field ◽  
Energy Spectra ◽  
Two Dimensional

scholarly journals Particle Acceleration in Collisionless Magnetic Reconnection

2001 ◽  
Vol 203 ◽  
pp. 555-557
Author(s):  
P. K. Browning ◽  
G. E. Vekstein
Keyword(s):  
Magnetic Field ◽  
Field Component ◽  
Charged Particles ◽  
Energy Spectra ◽  
Uniform Field ◽  
Two Dimensional ◽  
Point Field ◽  
Field Geometry ◽  
Collisionless Reconnection ◽  
Accelerated Particles

We investigate the acceleration of charged particles in the framework of collisionless reconnection. A steady reconnection scenario is considered, with a two dimensional X-point magnetic field geometry having also a uniform field component transverse to the plane of the X-point field, and an inductive electric field generating an inflow of particles. Test particle trajectories are studied, and the energy spectra of the accelerated particles are determined.

scholarly journals A weak turbulence theory for incompressible magnetohydrodynamics

2000 ◽  
Vol 63 (5) ◽  
pp. 447-488 ◽  
Author(s):  
S. GALTIER ◽  
S. V. NAZARENKO ◽  
A. C. NEWELL ◽  
A. POUQUET
Keyword(s):  
Magnetic Field ◽  
Kinetic Equations ◽  
Turbulence Theory ◽  
Energy Spectra ◽  
Weak Turbulence ◽  
Two Dimensional ◽  
Wave Interactions ◽  
Weak Turbulence Theory ◽  
The Magnetic Field ◽  
Incompressible Magnetohydrodynamics

We derive a weak turbulence formalism for incompressible magnetohydrodynamics. Three-wave interactions lead to a system of kinetic equations for the spectral densities of energy and helicity. The kinetic equations conserve energy in all wavevector planes normal to the applied magnetic field B0ê∥. Numerically and analytically, we find energy spectra E± ∼ kn±⊥, such that n+ + n− = −4, where E± are the spectra of the Elsässer variables z± = v ± b in the two-dimensional case (k∥ = 0). The constants of the spectra are computed exactly and found to depend on the amount of correlation between the velocity and the magnetic field. Comparison with several numerical simulations and models is also made.

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