### Abstract

An expression for the inelastic momentum-transfer scattering on the collision integral of the Boltzmann equation is derived in order to reflect the effect of an inelastic collision of an electron with a molecule on the electron kinetics in gases and collisional plasmas. To our knowledge, this is the first attempt to formulate the explicit effect of the momentum-transfer scattering of an inelastic collision. The present procedure is a traditional one in which the Boltzmann equation of electrons is expanded in spherical-harmonics in velocity space. It is shown that the effect of the inelastic momentum-transfer on the electron transport is expressed only when we consider the first anisotropic part of the velocity distribution in the expanded Boltzmann equation. In addition, case studies are performed by considering the dependence of the scattering angle and the magnitude distribution.

Original language | English |
---|---|

Article number | 485205 |

Journal | Journal of Physics D: Applied Physics |

Volume | 48 |

Issue number | 48 |

DOIs | |

Publication status | Published - 2015 Nov 9 |

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### Keywords

- Boltzmann equation
- Electron transport
- Formulation
- Inelastic momentum-transfer

### ASJC Scopus subject areas

- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials
- Acoustics and Ultrasonics
- Surfaces, Coatings and Films

### Cite this

*Journal of Physics D: Applied Physics*,

*48*(48), [485205]. https://doi.org/10.1088/0022-3727/48/48/485205

**Expression for momentum-transfer scattering in inelastic collisions in electron transport in a collisional plasma.** / Makabe, Toshiaki; White, Ronald.

Research output: Contribution to journal › Article

*Journal of Physics D: Applied Physics*, vol. 48, no. 48, 485205. https://doi.org/10.1088/0022-3727/48/48/485205

}

TY - JOUR

T1 - Expression for momentum-transfer scattering in inelastic collisions in electron transport in a collisional plasma

AU - Makabe, Toshiaki

AU - White, Ronald

PY - 2015/11/9

Y1 - 2015/11/9

N2 - An expression for the inelastic momentum-transfer scattering on the collision integral of the Boltzmann equation is derived in order to reflect the effect of an inelastic collision of an electron with a molecule on the electron kinetics in gases and collisional plasmas. To our knowledge, this is the first attempt to formulate the explicit effect of the momentum-transfer scattering of an inelastic collision. The present procedure is a traditional one in which the Boltzmann equation of electrons is expanded in spherical-harmonics in velocity space. It is shown that the effect of the inelastic momentum-transfer on the electron transport is expressed only when we consider the first anisotropic part of the velocity distribution in the expanded Boltzmann equation. In addition, case studies are performed by considering the dependence of the scattering angle and the magnitude distribution.

AB - An expression for the inelastic momentum-transfer scattering on the collision integral of the Boltzmann equation is derived in order to reflect the effect of an inelastic collision of an electron with a molecule on the electron kinetics in gases and collisional plasmas. To our knowledge, this is the first attempt to formulate the explicit effect of the momentum-transfer scattering of an inelastic collision. The present procedure is a traditional one in which the Boltzmann equation of electrons is expanded in spherical-harmonics in velocity space. It is shown that the effect of the inelastic momentum-transfer on the electron transport is expressed only when we consider the first anisotropic part of the velocity distribution in the expanded Boltzmann equation. In addition, case studies are performed by considering the dependence of the scattering angle and the magnitude distribution.

KW - Boltzmann equation

KW - Electron transport

KW - Formulation

KW - Inelastic momentum-transfer

UR - http://www.scopus.com/inward/record.url?scp=84948408758&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84948408758&partnerID=8YFLogxK

U2 - 10.1088/0022-3727/48/48/485205

DO - 10.1088/0022-3727/48/48/485205

M3 - Article

AN - SCOPUS:84948408758

VL - 48

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 48

M1 - 485205

ER -