### Abstract

A numerical solution is developed for the time-dependent kinetic equation describing the evolution of arbitrary distributions of electrons injected into a magnetized plasma. Included in the equation are pitch-angle scattering and energy loss because of Coulomb collisions and magnetic mirroring. The numerical code can be easily modified to include other scattering or radiation terms. The numerical results are shown to agree well with known analytic solutions for various simplified configurations such as homogeneous injection in a homogeneous plasma, electron beams moving with small pitch angle with respect to the magnetic field, and injection into a magnetic trap. In general, these comparisons show that the difference between the numerical and analytic solutions is less than 10% in any variable provided that the grid size is one-quarter of the size of the required resolution in that variable.

Original language | English (US) |
---|---|

Pages (from-to) | 726-734 |

Number of pages | 9 |

Journal | Astrophysical Journal |

Volume | 354 |

Issue number | 2 |

State | Published - May 10 1990 |

Externally published | Yes |

### Fingerprint

### Keywords

- Numerical methods
- Particle acceleration
- Plasmas
- Radiation mechanisms

### ASJC Scopus subject areas

- Space and Planetary Science

### Cite this

*Astrophysical Journal*,

*354*(2), 726-734.

**Numerical solution of the time-dependent kinetic equation for electrons in magnetized plasma.** / Hamilton, Russell J; Lu, Edward T.; Petrosian, Vahé.

Research output: Contribution to journal › Article

*Astrophysical Journal*, vol. 354, no. 2, pp. 726-734.

}

TY - JOUR

T1 - Numerical solution of the time-dependent kinetic equation for electrons in magnetized plasma

AU - Hamilton, Russell J

AU - Lu, Edward T.

AU - Petrosian, Vahé

PY - 1990/5/10

Y1 - 1990/5/10

N2 - A numerical solution is developed for the time-dependent kinetic equation describing the evolution of arbitrary distributions of electrons injected into a magnetized plasma. Included in the equation are pitch-angle scattering and energy loss because of Coulomb collisions and magnetic mirroring. The numerical code can be easily modified to include other scattering or radiation terms. The numerical results are shown to agree well with known analytic solutions for various simplified configurations such as homogeneous injection in a homogeneous plasma, electron beams moving with small pitch angle with respect to the magnetic field, and injection into a magnetic trap. In general, these comparisons show that the difference between the numerical and analytic solutions is less than 10% in any variable provided that the grid size is one-quarter of the size of the required resolution in that variable.

AB - A numerical solution is developed for the time-dependent kinetic equation describing the evolution of arbitrary distributions of electrons injected into a magnetized plasma. Included in the equation are pitch-angle scattering and energy loss because of Coulomb collisions and magnetic mirroring. The numerical code can be easily modified to include other scattering or radiation terms. The numerical results are shown to agree well with known analytic solutions for various simplified configurations such as homogeneous injection in a homogeneous plasma, electron beams moving with small pitch angle with respect to the magnetic field, and injection into a magnetic trap. In general, these comparisons show that the difference between the numerical and analytic solutions is less than 10% in any variable provided that the grid size is one-quarter of the size of the required resolution in that variable.

KW - Numerical methods

KW - Particle acceleration

KW - Plasmas

KW - Radiation mechanisms

UR - http://www.scopus.com/inward/record.url?scp=0005292445&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0005292445&partnerID=8YFLogxK

M3 - Article

VL - 354

SP - 726

EP - 734

JO - Astrophysical Journal

JF - Astrophysical Journal

SN - 0004-637X

IS - 2

ER -