Physics:Quantum kinetic theory: Difference between revisions

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{{Short description|Statistical description of many-particle systems in phase space}}
{{Short description|Statistical description of many-particle systems in phase space}}


{{Quantum book backlink|Plasma and kinetic methods}}
{{Quantum methods backlink|Plasma and kinetic methods}}
{{Quantum methods backlink|Plasma and kinetic methods}}



Revision as of 22:39, 17 May 2026


Kinetic theory describes the behavior of systems with a large number of particles by introducing a statistical description in terms of a distribution function in phase space. It forms a bridge between microscopic particle dynamics and macroscopic physical properties such as density, temperature, and pressure.

Kinetic theory is central to the description of gases, plasmas, and many-body systems, and provides the foundation for transport theory and fluid models. It forms the basis for equations such as the Vlasov equation and macroscopic models including magnetohydrodynamics.

Phase space representation of a distribution function in kinetic theory.

Distribution function

The fundamental object of kinetic theory is the distribution function:

f(𝐱,𝐯,t)

Macroscopic quantities are obtained as moments:

  • Density:

n=fd3v

  • Mean velocity:

𝐮=1n𝐯fd3v

Evolution equations

The distribution evolves according to equations such as the Vlasov equation.

Applications

Kinetic theory is used in:

It underlies transport theory and phenomena described by drift physics.

See also

Table of contents (217 articles)

Index

Full contents

References


Author: Harold Foppele


Source attribution: Kinetic theory