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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 |
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jms210203.pdf (561.4 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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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 | Infinite particle systems non-random mechanics | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Markov process | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | diffusion | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | convergence | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Brownian motion | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | uniform motion | |||||
主題Scheme | Other | |||||
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 |
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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 |
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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 | 415 | |||||
主題Scheme | NDC | |||||
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 |