Fractional dynamics :: recent advances /
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 impor...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Singapore ; Hackensack, NJ :
World Scientific,
©2012.
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| Online-Zugang: | Volltext |
| Zusammenfassung: | 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 resource (xiv, 515 pages :) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9814340596 9789814340595 |
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| 245 | 0 | 0 | |a Fractional dynamics : |b recent advances / |c Joseph Klafter, S.C. Lim, Ralf Metzler, editors. |
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| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
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| 650 | 6 | |a Dérivées fractionnaires. | |
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| contents | 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. |
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| dewey-search | 530.12 |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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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. 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| publisher | World Scientific, |
| record_format | marc |
| spelling | Fractional dynamics : recent advances / Joseph Klafter, S.C. Lim, Ralf Metzler, editors. Singapore ; Hackensack, NJ : World Scientific, ©2012. 1 online resource (xiv, 515 pages :) text txt rdacontent computer c rdamedia online resource 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. Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Diffusion Mathematical models. Dérivées fractionnaires. Dynamique. Diffusion (Physique) Modèles mathématiques. kinetics (dynamics) aat SCIENCE Physics Quantum Theory. bisacsh Diffusion Mathematical models fast Dynamics fast Fractional calculus fast Klafter, J. (Joseph) https://id.oclc.org/worldcat/entity/E39PBJqvX6fPCxcKK3XhWpQ6rq http://id.loc.gov/authorities/names/n86064180 Lim, S. C., 1947- https://id.oclc.org/worldcat/entity/E39PCjBXTjb7TGKk9T3V4dvXHP http://id.loc.gov/authorities/names/n98023697 Metzler, Ralf. has work: Fractional dynamics (Text) https://id.oclc.org/worldcat/entity/E39PCGppV4JpMXpVGhd8KdGDtq https://id.oclc.org/worldcat/ontology/hasWork Print version: 9789814340588 9814340588 (DLC) 2011021725 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521254 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521254 Volltext |
| spellingShingle | Fractional dynamics : recent advances / 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. Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Diffusion Mathematical models. Dérivées fractionnaires. Dynamique. Diffusion (Physique) Modèles mathématiques. kinetics (dynamics) aat SCIENCE Physics Quantum Theory. bisacsh Diffusion Mathematical models fast Dynamics fast Fractional calculus fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh93004015 http://id.loc.gov/authorities/subjects/sh85040316 |
| 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 | Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Diffusion Mathematical models. Dérivées fractionnaires. Dynamique. Diffusion (Physique) Modèles mathématiques. kinetics (dynamics) aat SCIENCE Physics Quantum Theory. bisacsh Diffusion Mathematical models fast Dynamics fast Fractional calculus fast |
| topic_facet | Fractional calculus. Dynamics. Diffusion Mathematical models. Dérivées fractionnaires. Dynamique. Diffusion (Physique) Modèles mathématiques. kinetics (dynamics) SCIENCE Physics Quantum Theory. Diffusion Mathematical models Dynamics Fractional calculus |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521254 |
| work_keys_str_mv | AT klafterj fractionaldynamicsrecentadvances AT limsc fractionaldynamicsrecentadvances AT metzlerralf fractionaldynamicsrecentadvances |