Related Experiment Video
Updated: May 10, 2026

11:47
A 100 KW Class Applied-field Magnetoplasmadynamic Thruster
Published on: December 22, 2018
Wave-breaking phenomena in a relativistic magnetized plasma
Chandan Maity1, Anwesa Sarkar, Padma Kant Shukla
1Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700 064, India.
Physical Review Letters
|June 11, 2013
Summary
Relativistic upper-hybrid oscillations break in finite time due to electron mass variations, causing density bursts. This wave-breaking phenomenon is crucial for understanding electron energization and plasma heating.
Area of Science:
- Plasma Physics
- Wave Phenomena
- Relativistic Electrodynamics
Background:
- Relativistic effects are crucial in high-energy plasma environments.
- Upper-hybrid oscillations are fundamental plasma waves.
- Wave-breaking is a key nonlinear process in wave dynamics.
Purpose of the Study:
- Investigate the wave-breaking of relativistic upper-hybrid oscillations.
- Understand the role of relativistic electron mass variations.
- Explore implications for plasma particle energization and heating.
Main Methods:
- Utilized electron continuity and relativistic momentum equations.
- Incorporated Maxwell's equations for electromagnetic fields.
- Employed Lagrangian coordinates for exact nonstationary solutions.
Main Results:
- Discovered finite-time bursts in electron density.
- Linked density bursts to relativistic electron mass variations.
- Identified phase mixing and breaking of relativistic UH oscillations.
Conclusions:
- Relativistic UH wave-breaking is a finite-time process.
- Electron mass variation drives wave breaking and density bursts.
- This phenomenon is relevant to electron energization and plasma heating.
Related Concept Videos
Electromagnetic Waves
James Clerk Maxwell formulated a single theory combining all the electric and magnetic effects scientists knew during that time, calling the phenomena his theory predicted “Electromagnetic waves”. He brought together all the work that had been done by brilliant physicists such as Oersted, Coulomb, Gauss, and Faraday and added his own insights to develop the overarching theory of electromagnetism. Maxwell’s equations, combined with the Lorentz force law, encompass all the laws of electricity and...
Plane Electromagnetic Waves I
The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed to be a...
The EM field is assumed to be a...
Plane Electromagnetic Waves II
Consider a plane wavefront traveling in position x-direction with a constant speed. This wavefront can be utilized to obtain the relationship between electric and magnetic fields with the help of Faraday's law.
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...
Propagation Speed of Electromagnetic Waves
Electromagnetic waves are consistent with Ampere's law. Assuming there is no conduction current Ampere's law is given as:
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...

