WEKO3
アイテム
A Mechanical Model of Brownian Motion with Uniform Motion Area
http://hdl.handle.net/2261/59057
http://hdl.handle.net/2261/5905783c262c5-1f51-448f-85cd-3b141de5790d
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms210203.pdf (561.4 kB)
|
|
| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2015-12-15 | |||||
| タイトル | ||||||
| タイトル | A Mechanical Model of Brownian Motion with Uniform Motion Area | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Infinite particle systems non-random mechanics | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Markov process | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | diffusion | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | convergence | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Brownian motion | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | uniform motion | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Liang, Song
× Liang, Song |
|||||
| 著者所属 | ||||||
| 著者所属 | Institute of Mathematics, University of Tsukuba | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We consider a system of plural massive particles interacting with an ideal gas, evolved according to non-random mechanical principles, via interaction potentials. We first prove the weak convergence of the (position, velocity)-process of the massive particles until certain time, under a certain scaling limit, and give the precise expression of the limiting process, a diffusion process. In the second half, we consider a special case which includes the case of “two same type massive particles” as a concrete example, and prove the convergence of the process of the massive particles until any time. The precise description of the limit process, a combination of a “diffusion phase” and a “uniform motion phase”, is also given. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 21, 号 2, p. 235-334, 発行日 2014-12-11 |
|||||
| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 70F45(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 34F05(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 60B10(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2013-10-21 | ||||||
