Transverse instability of magnetized electron holes
1Space Sciences Laboratory, University of California, Berkeley, California 94720, USA.
Physical Review Letters
|September 16, 2000
Summary
Electron phase-space holes become unstable in a magnetic field due to trapped electron dynamics. A low gyro-to-bounce frequency ratio causes potential spikes to disintegrate.
Area of Science:
- Plasma physics
- Space physics
- Astrophysics
Background:
- Electron phase-space holes are nonlinear equilibria in plasmas.
- Their stability in multi-dimensional settings, especially with magnetic fields, is not fully understood.
- Previous studies have not fully addressed the role of trapped electron dynamics in their transverse stability.
Purpose of the Study:
- To investigate the transverse instability of electron phase-space holes.
- To determine the factors influencing this instability in the presence of a magnetic field.
- To clarify the long-standing problem of multi-dimensional hole stability.
Main Methods:
- Analysis of nonlinear equilibria.
- Investigating two-dimensional dynamics.
- Characterizing stability using the gyro-to-bounce frequency ratio.
Main Results:
- Identified a two-dimensional transverse instability.
- Demonstrated dependence on hole amplitudes, magnetic fields, and perpendicular velocity spread.
- Showed that a low gyro-to-bounce frequency ratio leads to disintegration of positive potential spikes.
Conclusions:
- The stability of electron phase-space holes is critically dependent on trapped electron dynamics.
- The gyro-to-bounce frequency ratio is a key parameter for understanding multi-dimensional hole stability.
- Instability leads to the disintegration of potential structures, impacting plasma dynamics.
Related Concept Videos
Atomic Nuclei: Nuclear Relaxation Processes
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis. This...
Torque On A Current Loop In A Magnetic Field
The most common application of magnetic force on current-carrying wires is in electric motors. These consist of loops of wire, which are placed between the magnets with a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate, thus converting electrical energy to mechanical energy.
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
The Hall Effect
Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
Magnetic Field due to Moving Charges
A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Potential Due to a Magnetized Object
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
The vector...
Magnetostatic Boundary Conditions
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...


