Hydrodynamic scale for a driven tracer particle -- Rigorous results
We consider dynamics of a massive charged particle interacting with a homogeneous equilibrium evironment consisting of identical classical particles. We discuss rigorous results on the limit transition for the displacement of the massive particle. In some special cases we represent a derivation of t...
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2002-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
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| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2002/1-146.pdf |
| _version_ | 1811345265170317312 |
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| author | Mikhail Soloveitchik |
| author_facet | Mikhail Soloveitchik |
| author_sort | Mikhail Soloveitchik |
| collection | DOAJ |
| description | We consider dynamics of a massive charged particle interacting with a homogeneous equilibrium evironment consisting of identical classical particles. We discuss rigorous results on the limit transition for the displacement of the massive particle. In some special cases we represent a derivation of the Central Limit Theorem and the Einstein relation. |
| first_indexed | 2024-04-13T20:00:40Z |
| format | Article |
| id | doaj.art-c58b3c5688e1413c938e0b7bb48cfd00 |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-04-13T20:00:40Z |
| publishDate | 2002-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-c58b3c5688e1413c938e0b7bb48cfd002022-12-22T02:32:13ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502002-01-012211146Hydrodynamic scale for a driven tracer particle -- Rigorous resultsMikhail Soloveitchik0d-fine GmbHWe consider dynamics of a massive charged particle interacting with a homogeneous equilibrium evironment consisting of identical classical particles. We discuss rigorous results on the limit transition for the displacement of the massive particle. In some special cases we represent a derivation of the Central Limit Theorem and the Einstein relation.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2002/1-146.pdfbrownian motioncentral limit theoremdriftdiffusion |
| spellingShingle | Mikhail Soloveitchik Hydrodynamic scale for a driven tracer particle -- Rigorous results Rendiconti di Matematica e delle Sue Applicazioni brownian motion central limit theorem drift diffusion |
| title | Hydrodynamic scale for a driven tracer particle -- Rigorous results |
| title_full | Hydrodynamic scale for a driven tracer particle -- Rigorous results |
| title_fullStr | Hydrodynamic scale for a driven tracer particle -- Rigorous results |
| title_full_unstemmed | Hydrodynamic scale for a driven tracer particle -- Rigorous results |
| title_short | Hydrodynamic scale for a driven tracer particle -- Rigorous results |
| title_sort | hydrodynamic scale for a driven tracer particle rigorous results |
| topic | brownian motion central limit theorem drift diffusion |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2002/1-146.pdf |
| work_keys_str_mv | AT mikhailsoloveitchik hydrodynamicscaleforadriventracerparticlerigorousresults |