Thermal relaxation for the Relativistic Ornstein–Uhlenbeck Process
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| Title: | Thermal relaxation for the Relativistic Ornstein–Uhlenbeck Process |
|---|---|
| Authors: | Debbasch, F.1 fabrice.debbasch@gmail.com, Espaze, D.1, Foulonneau, V.1, Rivet, J.-P.2 |
| Source: | Physica A. Aug2012, Vol. 391 Issue 15, p3797-3804. 8p. |
| Subjects: | Thermal analysis, Relativistic particles, Ornstein-Uhlenbeck process, Relaxation (Gas dynamics), Numerical analysis, Spectrum analysis, Diffusion |
| Abstract: | Abstract: The thermal relaxation of a relativistic particle diffusing in a fluid at equilibrium is investigated through a numerical study of the Relativistic Ornstein–Uhlenbeck Process. The spectrum of the relaxation operator has both a discrete and a continuous component. Both components are fully characterized and the limit between them is given a simple interpretation. Short-time relaxation is addressed separately, and a global effective relaxation time is also computed. The general conclusion is that relativistic effects slow down thermalization. [Copyright &y& Elsevier] |
| Copyright of Physica A is the property of Elsevier B.V. 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: 74990877 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Thermal relaxation for the Relativistic Ornstein–Uhlenbeck Process – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Debbasch%2C+F%2E%22">Debbasch, F.</searchLink><relatesTo>1</relatesTo><i> fabrice.debbasch@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Espaze%2C+D%2E%22">Espaze, D.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Foulonneau%2C+V%2E%22">Foulonneau, V.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Rivet%2C+J%2E-P%2E%22">Rivet, J.-P.</searchLink><relatesTo>2</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Physica+A%22">Physica A</searchLink>. Aug2012, Vol. 391 Issue 15, p3797-3804. 8p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Thermal+analysis%22">Thermal analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Relativistic+particles%22">Relativistic particles</searchLink><br /><searchLink fieldCode="DE" term="%22Ornstein-Uhlenbeck+process%22">Ornstein-Uhlenbeck process</searchLink><br /><searchLink fieldCode="DE" term="%22Relaxation+%28Gas+dynamics%29%22">Relaxation (Gas dynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Spectrum+analysis%22">Spectrum analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Diffusion%22">Diffusion</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: The thermal relaxation of a relativistic particle diffusing in a fluid at equilibrium is investigated through a numerical study of the Relativistic Ornstein–Uhlenbeck Process. The spectrum of the relaxation operator has both a discrete and a continuous component. Both components are fully characterized and the limit between them is given a simple interpretation. Short-time relaxation is addressed separately, and a global effective relaxation time is also computed. The general conclusion is that relativistic effects slow down thermalization. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Physica A is the property of Elsevier B.V. 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: 10.1016/j.physa.2012.02.026 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 3797 Subjects: – SubjectFull: Thermal analysis Type: general – SubjectFull: Relativistic particles Type: general – SubjectFull: Ornstein-Uhlenbeck process Type: general – SubjectFull: Relaxation (Gas dynamics) Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: Spectrum analysis Type: general – SubjectFull: Diffusion Type: general Titles: – TitleFull: Thermal relaxation for the Relativistic Ornstein–Uhlenbeck Process Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Debbasch, F. – PersonEntity: Name: NameFull: Espaze, D. – PersonEntity: Name: NameFull: Foulonneau, V. – PersonEntity: Name: NameFull: Rivet, J.-P. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2012 Type: published Y: 2012 Identifiers: – Type: issn-print Value: 03784371 Numbering: – Type: volume Value: 391 – Type: issue Value: 15 Titles: – TitleFull: Physica A Type: main |
| ResultId | 1 |
