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Exact temporal evolution for some nonlinear diffusion processes
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| Zeitschriftentitel: | Journal of Mathematical Physics |
|---|---|
| Personen und Körperschaften: | , |
| In: | Journal of Mathematical Physics, 26, 1985, 3, S. 522-527 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
AIP Publishing
|
| Schlagwörter: |
| author_facet |
Garrido, L. Masoliver, J. Garrido, L. Masoliver, J. |
|---|---|
| author |
Garrido, L. Masoliver, J. |
| spellingShingle |
Garrido, L. Masoliver, J. Journal of Mathematical Physics Exact temporal evolution for some nonlinear diffusion processes Mathematical Physics Statistical and Nonlinear Physics |
| author_sort |
garrido, l. |
| spelling |
Garrido, L. Masoliver, J. 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.526639 <jats:p>Exact solutions to Fokker–Planck equations with nonlinear drift are considered. Applications of these exact solutions for concrete models are studied. We arrive at the conclusion that for certain drifts we obtain divergent moments (and infinite relaxation time) if the diffusion process can be extended without any obstacle to the whole space. But if we introduce a potential barrier that limits the diffusion process, moments converge with a finite relaxation time.</jats:p> Exact temporal evolution for some nonlinear diffusion processes Journal of Mathematical Physics |
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AIP Publishing, 1985 |
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AIP Publishing, 1985 |
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0022-2488 1089-7658 |
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1985 |
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AIP Publishing |
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Journal of Mathematical Physics |
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49 |
| title |
Exact temporal evolution for some nonlinear diffusion processes |
| title_unstemmed |
Exact temporal evolution for some nonlinear diffusion processes |
| title_full |
Exact temporal evolution for some nonlinear diffusion processes |
| title_fullStr |
Exact temporal evolution for some nonlinear diffusion processes |
| title_full_unstemmed |
Exact temporal evolution for some nonlinear diffusion processes |
| title_short |
Exact temporal evolution for some nonlinear diffusion processes |
| title_sort |
exact temporal evolution for some nonlinear diffusion processes |
| topic |
Mathematical Physics Statistical and Nonlinear Physics |
| url |
http://dx.doi.org/10.1063/1.526639 |
| publishDate |
1985 |
| physical |
522-527 |
| description |
<jats:p>Exact solutions to Fokker–Planck equations with nonlinear drift are considered. Applications of these exact solutions for concrete models are studied. We arrive at the conclusion that for certain drifts we obtain divergent moments (and infinite relaxation time) if the diffusion process can be extended without any obstacle to the whole space. But if we introduce a potential barrier that limits the diffusion process, moments converge with a finite relaxation time.</jats:p> |
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| author | Garrido, L., Masoliver, J. |
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| container_title | Journal of Mathematical Physics |
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| description | <jats:p>Exact solutions to Fokker–Planck equations with nonlinear drift are considered. Applications of these exact solutions for concrete models are studied. We arrive at the conclusion that for certain drifts we obtain divergent moments (and infinite relaxation time) if the diffusion process can be extended without any obstacle to the whole space. But if we introduce a potential barrier that limits the diffusion process, moments converge with a finite relaxation time.</jats:p> |
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| imprint | AIP Publishing, 1985 |
| imprint_str_mv | AIP Publishing, 1985 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
| issn | 0022-2488, 1089-7658 |
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| physical | 522-527 |
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| series | Journal of Mathematical Physics |
| source_id | 49 |
| spelling | Garrido, L. Masoliver, J. 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.526639 <jats:p>Exact solutions to Fokker–Planck equations with nonlinear drift are considered. Applications of these exact solutions for concrete models are studied. We arrive at the conclusion that for certain drifts we obtain divergent moments (and infinite relaxation time) if the diffusion process can be extended without any obstacle to the whole space. But if we introduce a potential barrier that limits the diffusion process, moments converge with a finite relaxation time.</jats:p> Exact temporal evolution for some nonlinear diffusion processes Journal of Mathematical Physics |
| spellingShingle | Garrido, L., Masoliver, J., Journal of Mathematical Physics, Exact temporal evolution for some nonlinear diffusion processes, Mathematical Physics, Statistical and Nonlinear Physics |
| title | Exact temporal evolution for some nonlinear diffusion processes |
| title_full | Exact temporal evolution for some nonlinear diffusion processes |
| title_fullStr | Exact temporal evolution for some nonlinear diffusion processes |
| title_full_unstemmed | Exact temporal evolution for some nonlinear diffusion processes |
| title_short | Exact temporal evolution for some nonlinear diffusion processes |
| title_sort | exact temporal evolution for some nonlinear diffusion processes |
| title_unstemmed | Exact temporal evolution for some nonlinear diffusion processes |
| topic | Mathematical Physics, Statistical and Nonlinear Physics |
| url | http://dx.doi.org/10.1063/1.526639 |