Physics:Quantum kinetic theory: Difference between revisions

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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 [[Physics:Quantum Vlasov equation|Vlasov equation]] and macroscopic models including [[Physics:Quantum Magnetohydrodynamics|magnetohydrodynamics]].
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 [[Physics:Quantum Vlasov equation|Vlasov equation]] and macroscopic models including [[Physics:Quantum Magnetohydrodynamics|magnetohydrodynamics]].


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<div style="font-size:90%;">Phase space representation of a distribution function in kinetic theory.</div>
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[[File:Vlasov equation phase space.png|thumb|280px|Quantum kinetic theory.]]
[[File:Vlasov equation phase space.png|thumb|280px|Phase space representation of a distribution function in kinetic theory.]]
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Revision as of 22:49, 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.

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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