2015年
A toy-model study of the grazing collisions in the kinetic theory
Journal of Statistical Physics
- 巻
- 160
- 号
- 3
- 開始ページ
- 770
- 終了ページ
- 792
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s10955-015-1259-0
- 出版者・発行元
- SPRINGER
As a toy model study for the grazing collision effect in the Boltzmann equation, a spatially homogeneous problem for the two-dimensional Lorentz gas from the initial data with a jump discontinuity is investigated. The collision kernel of our model has the same angular singularity as the Boltzmann collision kernel. Thanks to the simplicity of the model, the jump propagation and its regularization are clearly seen, depending on whether the collision cross-section is finite or infinite. Three types of behavior are observed: a jump propagation, a jump propagation accompanied with a divergent derivative, and no jump propagation. For the model with a critical parameter, the switching from the second type to the last is observed.
- リンク情報
-
- DOI
- https://doi.org/10.1007/s10955-015-1259-0
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000357343800013&DestApp=WOS_CPL
- URL
- http://www.scopus.com/inward/record.url?eid=2-s2.0-84943199177&partnerID=MN8TOARS
- ID情報
-
- DOI : 10.1007/s10955-015-1259-0
- ISSN : 0022-4715
- eISSN : 1572-9613
- ORCIDのPut Code : 37111546
- SCOPUS ID : 84943199177
- Web of Science ID : WOS:000357343800013