論文

査読有り
2011年8月

Entropic formulation of relativistic continuum mechanics

PHYSICAL REVIEW E
  • Masafumi Fukuma
  • ,
  • Yuho Sakatani

84
2
開始ページ
026315
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevE.84.026315
出版者・発行元
AMER PHYSICAL SOC

An entropic formulation of relativistic continuum mechanics is developed in the Landau-Lifshitz frame. We introduce two spatial scales, one being the small scale representing the linear size of each material particle and the other the large scale representing the linear size of a large system which consists of material particles and is to linearly regress to the equilibrium. We propose a local functional which is expected to represent the total entropy of the larger system and require the entropy functional to be maximized in the process of linear regression. We show that Onsager's original idea on linear regression can then be realized explicitly as current conservations with dissipative currents in the desired form. We demonstrate the effectiveness of this formulation by showing that one can treat a wide class of relativistic continuum materials, including standard relativistic viscous fluids and relativistic viscoelastic materials.

Web of Science ® 被引用回数 : 5

リンク情報
DOI
https://doi.org/10.1103/PhysRevE.84.026315
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000294061600006&DestApp=WOS_CPL
URL
http://orcid.org/0000-0001-8146-5034

エクスポート
BibTeX RIS