The Fokker-Planck Equation: Methods of Solution and Applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1984
|
| Schriftenreihe: | Springer Series in Synergetics
18 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | One of the central problems synergetics is concerned with consists in the study of macroscopic qualitative changes of systems belonging to various disciplines such as physics, chemistry, or electrical engineering. When such transitions from one state to another take place, fluctuations, i.e., random processes, may play an important role. Over the past decades it has turned out that the Fokker-Planck equation provides a powerful tool with which the effects of fluctuations close to transition points can be adequately treated and that the approaches based on the FokkerPlanck equation are superior to other approaches, e.g., based on Langevin equations. Quite generally, the Fokker-Planck equation plays an important role in problems which involve noise, e.g., in electrical circuits. For these reasons I am sure that this book will find a broad audience. It provides the reader with a sound basis for the study of the Fokker-Planck equation and gives an excellent survey of the methods of its solution. The author of this book, Hannes Risken, has made substantial contributions to the development and application of such methods, e.g., to laser physics, diffusion in periodic potentials, and other problems. Therefore this book is written by an experienced practitioner, who has had in mind explicit applications to important problems in the natural sciences and electrical engineering |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783642968075 9783642968099 |
| ISSN: | 0172-7389 |
| DOI: | 10.1007/978-3-642-96807-5 |
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Datensatz im Suchindex
| _version_ | 1804153079216472064 |
|---|---|
| any_adam_object | |
| author | Risken, Hannes |
| author_facet | Risken, Hannes |
| author_role | aut |
| author_sort | Risken, Hannes |
| author_variant | h r hr |
| building | Verbundindex |
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| dewey-ones | 530 - Physics |
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| dewey-search | 530.15 |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1007/978-3-642-96807-5 |
| format | Electronic eBook |
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| id | DE-604.BV042414058 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:54Z |
| institution | BVB |
| isbn | 9783642968075 9783642968099 |
| issn | 0172-7389 |
| language | English |
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| series | Springer Series in Synergetics |
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| spelling | Risken, Hannes Verfasser aut The Fokker-Planck Equation Methods of Solution and Applications by Hannes Risken Berlin, Heidelberg Springer Berlin Heidelberg 1984 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer Series in Synergetics 18 0172-7389 One of the central problems synergetics is concerned with consists in the study of macroscopic qualitative changes of systems belonging to various disciplines such as physics, chemistry, or electrical engineering. When such transitions from one state to another take place, fluctuations, i.e., random processes, may play an important role. Over the past decades it has turned out that the Fokker-Planck equation provides a powerful tool with which the effects of fluctuations close to transition points can be adequately treated and that the approaches based on the FokkerPlanck equation are superior to other approaches, e.g., based on Langevin equations. Quite generally, the Fokker-Planck equation plays an important role in problems which involve noise, e.g., in electrical circuits. For these reasons I am sure that this book will find a broad audience. It provides the reader with a sound basis for the study of the Fokker-Planck equation and gives an excellent survey of the methods of its solution. The author of this book, Hannes Risken, has made substantial contributions to the development and application of such methods, e.g., to laser physics, diffusion in periodic potentials, and other problems. Therefore this book is written by an experienced practitioner, who has had in mind explicit applications to important problems in the natural sciences and electrical engineering Physics Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Stochastische Differentialgleichung (DE-588)4057621-8 gnd rswk-swf Statistische Thermodynamik (DE-588)4126251-7 gnd rswk-swf Fokker-Planck-Gleichung (DE-588)4126333-9 gnd rswk-swf Brownsche Bewegung (DE-588)4128328-4 gnd rswk-swf Fokker-Planck-Gleichung (DE-588)4126333-9 s 1\p DE-604 Statistische Thermodynamik (DE-588)4126251-7 s 2\p DE-604 Stochastische Differentialgleichung (DE-588)4057621-8 s 3\p DE-604 Brownsche Bewegung (DE-588)4128328-4 s 4\p DE-604 Springer Series in Synergetics 18 (DE-604)BV000005271 18 https://doi.org/10.1007/978-3-642-96807-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Risken, Hannes The Fokker-Planck Equation Methods of Solution and Applications Springer Series in Synergetics Physics Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Stochastische Differentialgleichung (DE-588)4057621-8 gnd Statistische Thermodynamik (DE-588)4126251-7 gnd Fokker-Planck-Gleichung (DE-588)4126333-9 gnd Brownsche Bewegung (DE-588)4128328-4 gnd |
| subject_GND | (DE-588)4057621-8 (DE-588)4126251-7 (DE-588)4126333-9 (DE-588)4128328-4 |
| title | The Fokker-Planck Equation Methods of Solution and Applications |
| title_auth | The Fokker-Planck Equation Methods of Solution and Applications |
| title_exact_search | The Fokker-Planck Equation Methods of Solution and Applications |
| title_full | The Fokker-Planck Equation Methods of Solution and Applications by Hannes Risken |
| title_fullStr | The Fokker-Planck Equation Methods of Solution and Applications by Hannes Risken |
| title_full_unstemmed | The Fokker-Planck Equation Methods of Solution and Applications by Hannes Risken |
| title_short | The Fokker-Planck Equation |
| title_sort | the fokker planck equation methods of solution and applications |
| title_sub | Methods of Solution and Applications |
| topic | Physics Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Stochastische Differentialgleichung (DE-588)4057621-8 gnd Statistische Thermodynamik (DE-588)4126251-7 gnd Fokker-Planck-Gleichung (DE-588)4126333-9 gnd Brownsche Bewegung (DE-588)4128328-4 gnd |
| topic_facet | Physics Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Stochastische Differentialgleichung Statistische Thermodynamik Fokker-Planck-Gleichung Brownsche Bewegung |
| url | https://doi.org/10.1007/978-3-642-96807-5 |
| volume_link | (DE-604)BV000005271 |
| work_keys_str_mv | AT riskenhannes thefokkerplanckequationmethodsofsolutionandapplications |