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Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...
Maxwell's Equation Of Electromagnetism01:29

Maxwell's Equation Of Electromagnetism

James Clerk Maxwell (1831–1879) was one of the major contributors to physics in the nineteenth century. Although he died young, he made major contributions to the development of the kinetic theory of gases, to the understanding of color vision, and to understanding the nature of Saturn's rings. He is probably best known for having combined existing knowledge on the laws of electricity and magnetism with his insights into a complete overarching electromagnetic theory, which is represented by...
The Kinetic Model of Gases01:24

The Kinetic Model of Gases

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Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models00:57

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models

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Maxwell's Thermodynamic Relations01:23

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Related Experiment Video

Updated: May 18, 2026

Building Langmuir Probes and Emissive Probes for Plasma Potential Measurements in Low Pressure, Low Temperature Plasmas
08:10

Building Langmuir Probes and Emissive Probes for Plasma Potential Measurements in Low Pressure, Low Temperature Plasmas

Published on: May 25, 2021

Relativistic Klein-Gordon-Maxwell multistream model for quantum plasmas.

F Haas1, B Eliasson, P K Shukla

  • 1Departamento de Física, Universidade Federal do Paraná, Curitiba, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
PubMed
Summary

A new model for relativistic quantum plasmas describes electron behavior in one- and two-stream scenarios. It reveals novel instability conditions and predicts nonlinear periodic and soliton structures.

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Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry
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Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry

Published on: August 1, 2017

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Last Updated: May 18, 2026

Building Langmuir Probes and Emissive Probes for Plasma Potential Measurements in Low Pressure, Low Temperature Plasmas
08:10

Building Langmuir Probes and Emissive Probes for Plasma Potential Measurements in Low Pressure, Low Temperature Plasmas

Published on: May 25, 2021

Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry
07:17

Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry

Published on: August 1, 2017

Area of Science:

  • Plasma Physics
  • Quantum Mechanics
  • Relativistic Electrodynamics

Background:

  • Quantum plasmas exhibit unique behaviors due to quantum effects.
  • Relativistic effects become significant in high-energy plasma environments.
  • Understanding electron dynamics in multistream plasmas is crucial for various astrophysical and laboratory settings.

Purpose of the Study:

  • To introduce a fluidlike model for spinless electrons in relativistic quantum plasmas.
  • To analyze one- and two-stream cases within this model.
  • To investigate the emergence of nonlinear structures and instability conditions.

Main Methods:

  • Development of a fluidlike version of the Klein-Gordon-Maxwell system.
  • Detailed analysis of one- and two-stream configurations.
  • Numerical solution of coupled nonlinear ordinary differential equations for steady-state analysis.

Main Results:

  • Derivation of a new linear instability condition for two-stream quantum plasmas, extending nonrelativistic findings.
  • Identification of a manifold of nonlinear periodic and soliton structures through numerical simulations.
  • Establishment of validity conditions for the proposed model.

Conclusions:

  • The developed model provides a robust framework for studying relativistic quantum plasmas.
  • The findings offer new insights into plasma instabilities and nonlinear phenomena.
  • The model's predictions of periodic and soliton structures warrant further experimental and theoretical investigation.