{"created":"2021-03-01T06:59:32.705014+00:00","id":39985,"links":{},"metadata":{"_buckets":{"deposit":"fe7ec280-1c4a-466f-92c7-423d7eddc684"},"_deposit":{"id":"39985","owners":[],"pid":{"revision_id":0,"type":"depid","value":"39985"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00039985","sets":["312:6865:6883:6884","9:504:6868:6885:6886"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2014-12-11","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"334","bibliographicPageStart":"235","bibliographicVolumeNumber":"21","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"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.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"70F45(MSC2010)"},{"subitem_text_value":"34F05(MSC2010)"},{"subitem_text_value":"60B10(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2013-10-21"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Institute of Mathematics, University of Tsukuba"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Liang, Song"}],"nameIdentifiers":[{"nameIdentifier":"92403","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-14"}],"displaytype":"detail","filename":"jms210203.pdf","filesize":[{"value":"561.4 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms210203.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/39985/files/jms210203.pdf"},"version_id":"248ee8a4-2f0f-448d-9c45-c4356a135268"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Infinite particle systems  non-random mechanics","subitem_subject_scheme":"Other"},{"subitem_subject":"Markov process","subitem_subject_scheme":"Other"},{"subitem_subject":"diffusion","subitem_subject_scheme":"Other"},{"subitem_subject":"convergence","subitem_subject_scheme":"Other"},{"subitem_subject":"Brownian motion","subitem_subject_scheme":"Other"},{"subitem_subject":"uniform motion","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"A Mechanical Model of Brownian Motion with Uniform Motion Area","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A Mechanical Model of Brownian Motion with Uniform Motion Area"}]},"item_type_id":"4","owner":"1","path":["6884","6886"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-12-15"},"publish_date":"2015-12-15","publish_status":"0","recid":"39985","relation_version_is_last":true,"title":["A Mechanical Model of Brownian Motion with Uniform Motion Area"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:50.730476+00:00"}