Fractional dynamics: recent advances
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| Format: | Elektronisch E-Book |
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| Sprache: | English |
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World Scientific
©2012
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| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index 1. Anomalous diffusion and fractional transport equations / R. Metzler and J.-H. Jeon -- 2. Stochastic diffusion and stable noise-induced phenomena / B. Dybiec and E. Gudowska-Nowak -- 3. Characteristic times of anomalous diffusion in a potential / W.T. Coffey, Y.P. Kalmykov and S.V. Titov -- 4. Reactions in subdiffusive media and associated fractional equations / S.B. Yuste, E. Abad and K. Lindenberg -- 5. Natural and modified forms of distributed-order fractional diffusion equations / A. Chechkin, I.M. Sokolov and J. Klafter -- 6. Anomalous transport in the presence of truncated Levy flights / D. del-Castillo-Negrete -- 7. Anomalous diffusion: from fractional master equations to path integrals / R. Friedrich -- 8. Fractional Feynman-Kac equation for anomalous diffusion functionals / S. Carmi and E. Barkai -- 9. Foundations of fractional dynamics: a short account / R. Hilfer -- 10. Parametric subordination in fractional diffusion processes / R. Gorenflo and F. Mainardi -- 11. Fractional calculus, anomalous diffusion, and probability / M.M. Meerschaert -- 12. Fractional Langevin equation / E. Lutz -- 13. Subdiffusive dynamics in washboard potentials: two different approaches and different universality classes / I. Goychuk and P. Hanggi -- 14. Identification and validation of fractional subdiffusion dynamics / K. Burnecki, M. Magdziarz and A. Weron -- 15. A class of CTRWs: compound fractional Poisson processes / E. Scalas -- 16. Origin of allometry hypothesis / B.J. West and D. West -- 17. Principles of fractional quantum mechanics / N. Laskin -- 18. Two examples of fractional quantum dynamics / A. Iomin -- 19. Fractional dynamics of open quantum systems / V.E. Tarasov -- 20. Casimir effect associated with fractional Klein-Gordon field / S.C. Lim and L.P. Teo This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on their active and important contributions to their respective topics. This volume is the first of its kind that covers such a comprehensive range of topics in fractional dynamics. It will point out to advanced undergraduate and graduate students, and young researchers the possible directions of research in this subject. In addition to those who intend to work in this field and those already in the field, this volume will also be useful for researchers not directly involved in the field, but want to know the current status and trends of development in this subject. This latter group includes theoretical chemists, mathematical biologists and engineers |
| Beschreibung: | 1 Online-Ressource (xiv, 515 pages) |
| ISBN: | 9789814340588 9789814340595 9814340588 9814340596 |
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| id | DE-604.BV043067311 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:26Z |
| institution | BVB |
| isbn | 9789814340588 9789814340595 9814340588 9814340596 |
| language | English |
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| spelling | Fractional dynamics recent advances Joseph Klafter, S.C. Lim, Ralf Metzler, editors Singapore World Scientific ©2012 1 Online-Ressource (xiv, 515 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index 1. Anomalous diffusion and fractional transport equations / R. Metzler and J.-H. Jeon -- 2. Stochastic diffusion and stable noise-induced phenomena / B. Dybiec and E. Gudowska-Nowak -- 3. Characteristic times of anomalous diffusion in a potential / W.T. Coffey, Y.P. Kalmykov and S.V. Titov -- 4. Reactions in subdiffusive media and associated fractional equations / S.B. Yuste, E. Abad and K. Lindenberg -- 5. Natural and modified forms of distributed-order fractional diffusion equations / A. Chechkin, I.M. Sokolov and J. Klafter -- 6. Anomalous transport in the presence of truncated Levy flights / D. del-Castillo-Negrete -- 7. Anomalous diffusion: from fractional master equations to path integrals / R. Friedrich -- 8. Fractional Feynman-Kac equation for anomalous diffusion functionals / S. Carmi and E. Barkai -- 9. Foundations of fractional dynamics: a short account / R. Hilfer -- 10. Parametric subordination in fractional diffusion processes / R. Gorenflo and F. Mainardi -- 11. Fractional calculus, anomalous diffusion, and probability / M.M. Meerschaert -- 12. Fractional Langevin equation / E. Lutz -- 13. Subdiffusive dynamics in washboard potentials: two different approaches and different universality classes / I. Goychuk and P. Hanggi -- 14. Identification and validation of fractional subdiffusion dynamics / K. Burnecki, M. Magdziarz and A. Weron -- 15. A class of CTRWs: compound fractional Poisson processes / E. Scalas -- 16. Origin of allometry hypothesis / B.J. West and D. West -- 17. Principles of fractional quantum mechanics / N. Laskin -- 18. Two examples of fractional quantum dynamics / A. Iomin -- 19. Fractional dynamics of open quantum systems / V.E. Tarasov -- 20. Casimir effect associated with fractional Klein-Gordon field / S.C. Lim and L.P. Teo This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on their active and important contributions to their respective topics. This volume is the first of its kind that covers such a comprehensive range of topics in fractional dynamics. It will point out to advanced undergraduate and graduate students, and young researchers the possible directions of research in this subject. In addition to those who intend to work in this field and those already in the field, this volume will also be useful for researchers not directly involved in the field, but want to know the current status and trends of development in this subject. This latter group includes theoretical chemists, mathematical biologists and engineers SCIENCE / Physics / Quantum Theory bisacsh Diffusion / Mathematical models fast Dynamics fast Fractional calculus fast Mathematisches Modell Fractional calculus Dynamics Diffusion Mathematical models Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Gebrochene Analysis (DE-588)4722475-7 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Gebrochene Analysis (DE-588)4722475-7 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Klafter, J. Sonstige oth Lim, S. C. Sonstige oth Metzler, Ralf Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=521254 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fractional dynamics recent advances SCIENCE / Physics / Quantum Theory bisacsh Diffusion / Mathematical models fast Dynamics fast Fractional calculus fast Mathematisches Modell Fractional calculus Dynamics Diffusion Mathematical models Mathematische Physik (DE-588)4037952-8 gnd Dynamisches System (DE-588)4013396-5 gnd Gebrochene Analysis (DE-588)4722475-7 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4013396-5 (DE-588)4722475-7 |
| title | Fractional dynamics recent advances |
| title_auth | Fractional dynamics recent advances |
| title_exact_search | Fractional dynamics recent advances |
| title_full | Fractional dynamics recent advances Joseph Klafter, S.C. Lim, Ralf Metzler, editors |
| title_fullStr | Fractional dynamics recent advances Joseph Klafter, S.C. Lim, Ralf Metzler, editors |
| title_full_unstemmed | Fractional dynamics recent advances Joseph Klafter, S.C. Lim, Ralf Metzler, editors |
| title_short | Fractional dynamics |
| title_sort | fractional dynamics recent advances |
| title_sub | recent advances |
| topic | SCIENCE / Physics / Quantum Theory bisacsh Diffusion / Mathematical models fast Dynamics fast Fractional calculus fast Mathematisches Modell Fractional calculus Dynamics Diffusion Mathematical models Mathematische Physik (DE-588)4037952-8 gnd Dynamisches System (DE-588)4013396-5 gnd Gebrochene Analysis (DE-588)4722475-7 gnd |
| topic_facet | SCIENCE / Physics / Quantum Theory Diffusion / Mathematical models Dynamics Fractional calculus Mathematisches Modell Diffusion Mathematical models Mathematische Physik Dynamisches System Gebrochene Analysis |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=521254 |
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