A UNIFYING APPROACH TO RELATIVISTIC DIFFUSIONS AND H-THEOREMS.
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| Title: | A UNIFYING APPROACH TO RELATIVISTIC DIFFUSIONS AND H-THEOREMS. |
|---|---|
| Authors: | CHEVALIER, C.1 chevalier_claire@yahoo.fr, DEBBASCH, F.1 fabrice.debbasch@gmail.com |
| Source: | Modern Physics Letters B. 3/10/2008, Vol. 22 Issue 6, p383-392. 10p. |
| Subjects: | Relativity (Physics), Differential equations, Properties of matter, Stochastic difference equations, Physics |
| Abstract: | A new, wide class of relativistic stochastic processes is introduced. All relativistic processes considered so far in the literature (the Relativistic Ornstein–Uhlenbeck Process as well as the Franchi–Le Jan and the Dunkel–Hänggi processes) are members of this class. The stochastic equations of motion and the associated forward Kolmogorov equations are obtained for each process in the class. The corresponding manifestly covariant transport equation is also obtained. In particular, the manifestly covariant equations for the Franchi–Le Jan and the Dunkel–Hänggi processes are derived here for the first time. Finally, the manifestly covariant approach is used to prove a new H-theorem for all processes in the class. [ABSTRACT FROM AUTHOR] |
| Copyright of Modern Physics Letters B is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 31235689 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A UNIFYING APPROACH TO RELATIVISTIC DIFFUSIONS AND H-THEOREMS. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22CHEVALIER%2C+C%2E%22">CHEVALIER, C.</searchLink><relatesTo>1</relatesTo><i> chevalier_claire@yahoo.fr</i><br /><searchLink fieldCode="AR" term="%22DEBBASCH%2C+F%2E%22">DEBBASCH, F.</searchLink><relatesTo>1</relatesTo><i> fabrice.debbasch@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Modern+Physics+Letters+B%22">Modern Physics Letters B</searchLink>. 3/10/2008, Vol. 22 Issue 6, p383-392. 10p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Relativity+%28Physics%29%22">Relativity (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%22">Differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Properties+of+matter%22">Properties of matter</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+difference+equations%22">Stochastic difference equations</searchLink><br /><searchLink fieldCode="DE" term="%22Physics%22">Physics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A new, wide class of relativistic stochastic processes is introduced. All relativistic processes considered so far in the literature (the Relativistic Ornstein–Uhlenbeck Process as well as the Franchi–Le Jan and the Dunkel–Hänggi processes) are members of this class. The stochastic equations of motion and the associated forward Kolmogorov equations are obtained for each process in the class. The corresponding manifestly covariant transport equation is also obtained. In particular, the manifestly covariant equations for the Franchi–Le Jan and the Dunkel–Hänggi processes are derived here for the first time. Finally, the manifestly covariant approach is used to prove a new H-theorem for all processes in the class. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Modern Physics Letters B is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0217984908014845 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 383 Subjects: – SubjectFull: Relativity (Physics) Type: general – SubjectFull: Differential equations Type: general – SubjectFull: Properties of matter Type: general – SubjectFull: Stochastic difference equations Type: general – SubjectFull: Physics Type: general Titles: – TitleFull: A UNIFYING APPROACH TO RELATIVISTIC DIFFUSIONS AND H-THEOREMS. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: CHEVALIER, C. – PersonEntity: Name: NameFull: DEBBASCH, F. IsPartOfRelationships: – BibEntity: Dates: – D: 10 M: 03 Text: 3/10/2008 Type: published Y: 2008 Identifiers: – Type: issn-print Value: 02179849 Numbering: – Type: volume Value: 22 – Type: issue Value: 6 Titles: – TitleFull: Modern Physics Letters B Type: main |
| ResultId | 1 |
