VALIDATING THE DIFFUSION APPROXIMATION THROUGH CONDITIONAL ENTROPIES.
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| Title: | VALIDATING THE DIFFUSION APPROXIMATION THROUGH CONDITIONAL ENTROPIES. |
|---|---|
| Authors: | RIVET, J.-P.1 jean-pierre.rivet@oca.edu, DEBBASCH, F.2 fabrice.debbasch@gmail.com |
| Source: | Modern Physics Letters B. 3/10/2011, Vol. 25 Issue 6, p377-383. 7p. 2 Graphs. |
| Subjects: | Approximation theory, Entropy, Diffusion, Kinetic theory of gases, Markov processes, Stochastic processes, Quantitative research, Wiener processes |
| Abstract: | The diffusion approximation replaces a real transport dynamics by an approximate stochastic Markov process. It is proposed that, when both dynamics have invariant measures, the conditional entropy of the invariant measure of the real dynamics with respect to the invariant measure of the Markov process be used to assess quantitatively the validity of the approximation. This proposal is tested on particle transport; the diffusion approximation is found to be quite robust, valid for an unexpectedly large range of mass ratios between the solvent and the Brownian particle. [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: 58098431 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: VALIDATING THE DIFFUSION APPROXIMATION THROUGH CONDITIONAL ENTROPIES. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22RIVET%2C+J%2E-P%2E%22">RIVET, J.-P.</searchLink><relatesTo>1</relatesTo><i> jean-pierre.rivet@oca.edu</i><br /><searchLink fieldCode="AR" term="%22DEBBASCH%2C+F%2E%22">DEBBASCH, F.</searchLink><relatesTo>2</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>. 3/10/2011, Vol. 25 Issue 6, p377-383. 7p. 2 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Entropy%22">Entropy</searchLink><br /><searchLink fieldCode="DE" term="%22Diffusion%22">Diffusion</searchLink><br /><searchLink fieldCode="DE" term="%22Kinetic+theory+of+gases%22">Kinetic theory of gases</searchLink><br /><searchLink fieldCode="DE" term="%22Markov+processes%22">Markov processes</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+processes%22">Stochastic processes</searchLink><br /><searchLink fieldCode="DE" term="%22Quantitative+research%22">Quantitative research</searchLink><br /><searchLink fieldCode="DE" term="%22Wiener+processes%22">Wiener processes</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The diffusion approximation replaces a real transport dynamics by an approximate stochastic Markov process. It is proposed that, when both dynamics have invariant measures, the conditional entropy of the invariant measure of the real dynamics with respect to the invariant measure of the Markov process be used to assess quantitatively the validity of the approximation. This proposal is tested on particle transport; the diffusion approximation is found to be quite robust, valid for an unexpectedly large range of mass ratios between the solvent and the Brownian particle. [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/S021798491102581X Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 377 Subjects: – SubjectFull: Approximation theory Type: general – SubjectFull: Entropy Type: general – SubjectFull: Diffusion Type: general – SubjectFull: Kinetic theory of gases Type: general – SubjectFull: Markov processes Type: general – SubjectFull: Stochastic processes Type: general – SubjectFull: Quantitative research Type: general – SubjectFull: Wiener processes Type: general Titles: – TitleFull: VALIDATING THE DIFFUSION APPROXIMATION THROUGH CONDITIONAL ENTROPIES. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: RIVET, J.-P. – PersonEntity: Name: NameFull: DEBBASCH, F. IsPartOfRelationships: – BibEntity: Dates: – D: 10 M: 03 Text: 3/10/2011 Type: published Y: 2011 Identifiers: – Type: issn-print Value: 02179849 Numbering: – Type: volume Value: 25 – Type: issue Value: 6 Titles: – TitleFull: Modern Physics Letters B Type: main |
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