### Abstract

We present a new numerical model of the thermal force in a plasma, based on the Monte Carlo Binary Collision Model (BCM) [T. Takizuka, H. Abe, J. Comput.Phys. 25 (1977) 205]. This model can be applied for the transport simulation of test ions. The model consists of two steps: (i) choosing a background plasma ion velocity from a distorted Maxwell distribution under the temperature gradient, and (ii) calculating a Coulomb collision between a test particle and the above chosen ion by using the BCM. For the step (i), we developed a velocity sampling method from a distorted Maxwellian, which enables the BCM to bring the thermal force on a test particle in the step (ii).A systematic series of simulations has been performed under various conditions to examine the model. The results of these simulations have been compared with the theoretical values, and it is shown that our model simulates the thermal force correctly for important characteristic features; dependences on the temperature gradient, the test particle velocity, and the background plasma density.

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

Pages (from-to) | 3211-3227 |

Number of pages | 17 |

Journal | Journal of Computational Physics |

Volume | 231 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2012 Apr 20 |

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### Keywords

- Distorted Maxwellian
- Monte Carlo Binary Collision Model
- Numerical model
- Thermal force

### ASJC Scopus subject areas

- Computer Science Applications
- Physics and Astronomy (miscellaneous)

### Cite this

*Journal of Computational Physics*,

*231*(8), 3211-3227. https://doi.org/10.1016/j.jcp.2011.12.037

**Numerical modeling of thermal force in a plasma for test-ion transport simulation based on Monte Carlo Binary Collision Model.** / Homma, Yuki; Hatayama, Akiyoshi.

Research output: Contribution to journal › Article

*Journal of Computational Physics*, vol. 231, no. 8, pp. 3211-3227. https://doi.org/10.1016/j.jcp.2011.12.037

}

TY - JOUR

T1 - Numerical modeling of thermal force in a plasma for test-ion transport simulation based on Monte Carlo Binary Collision Model

AU - Homma, Yuki

AU - Hatayama, Akiyoshi

PY - 2012/4/20

Y1 - 2012/4/20

N2 - We present a new numerical model of the thermal force in a plasma, based on the Monte Carlo Binary Collision Model (BCM) [T. Takizuka, H. Abe, J. Comput.Phys. 25 (1977) 205]. This model can be applied for the transport simulation of test ions. The model consists of two steps: (i) choosing a background plasma ion velocity from a distorted Maxwell distribution under the temperature gradient, and (ii) calculating a Coulomb collision between a test particle and the above chosen ion by using the BCM. For the step (i), we developed a velocity sampling method from a distorted Maxwellian, which enables the BCM to bring the thermal force on a test particle in the step (ii).A systematic series of simulations has been performed under various conditions to examine the model. The results of these simulations have been compared with the theoretical values, and it is shown that our model simulates the thermal force correctly for important characteristic features; dependences on the temperature gradient, the test particle velocity, and the background plasma density.

AB - We present a new numerical model of the thermal force in a plasma, based on the Monte Carlo Binary Collision Model (BCM) [T. Takizuka, H. Abe, J. Comput.Phys. 25 (1977) 205]. This model can be applied for the transport simulation of test ions. The model consists of two steps: (i) choosing a background plasma ion velocity from a distorted Maxwell distribution under the temperature gradient, and (ii) calculating a Coulomb collision between a test particle and the above chosen ion by using the BCM. For the step (i), we developed a velocity sampling method from a distorted Maxwellian, which enables the BCM to bring the thermal force on a test particle in the step (ii).A systematic series of simulations has been performed under various conditions to examine the model. The results of these simulations have been compared with the theoretical values, and it is shown that our model simulates the thermal force correctly for important characteristic features; dependences on the temperature gradient, the test particle velocity, and the background plasma density.

KW - Distorted Maxwellian

KW - Monte Carlo Binary Collision Model

KW - Numerical model

KW - Thermal force

UR - http://www.scopus.com/inward/record.url?scp=84857233030&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84857233030&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2011.12.037

DO - 10.1016/j.jcp.2011.12.037

M3 - Article

AN - SCOPUS:84857233030

VL - 231

SP - 3211

EP - 3227

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

IS - 8

ER -