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Nonlinear Fokker-Planck Equations Fundamentals and Applications /
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stationary solutions, emphasizing the stability analysis of stationary solutions by means of self-consistency equations, linear stability analysis, and Lyapunov&#...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2005.
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| Edición: | 1st ed. 2005. |
| Colección: | Springer Series in Synergetics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 100 | 1 | |a Frank, T.D. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Nonlinear Fokker-Planck Equations |h [electronic resource] : |b Fundamentals and Applications / |c by T.D. Frank. |
| 246 | 3 | |a This title is included in the Springer complexity programme. | |
| 250 | |a 1st ed. 2005. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2005. | |
| 300 | |a XII, 408 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Springer Series in Synergetics, |x 2198-333X | |
| 505 | 0 | |a Fundamentals -- Strongly Nonlinear Fokker-Planck Equations -- Free Energy Fokker-Planck Equations -- Free Energy Fokker-Planck Equations with Boltzmann Statistics -- Entropy Fokker-Planck Equations -- General Nonlinear Fokker-Planck Equations -- Epilogue. | |
| 520 | |a Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stationary solutions, emphasizing the stability analysis of stationary solutions by means of self-consistency equations, linear stability analysis, and Lyapunov's direct method. Also treated are Langevin equations and correlation functions. Nonlinear Fokker-Planck Equations addresses various phenomena such as phase transitions, multistability of systems, synchronization, anomalous diffusion, cut-off solutions, travelling-wave solutions and the emergence of power law solutions. A nonlinear Fokker-Planck perspective to quantum statistics, generalized thermodynamics, and linear nonequilibrium thermodynamics is given. Theoretical concepts are illustrated where possible by simple examples. The book also reviews several applications in the fields of condensed matter physics, the physics of porous media and liquid crystals, accelerator physics, neurophysics, social sciences, population dynamics, and computational physics. | ||
| 650 | 0 | |a Quantum physics. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Thermodynamics. | |
| 650 | 1 | 4 | |a Quantum Physics. |
| 650 | 2 | 4 | |a Complex Systems. |
| 650 | 2 | 4 | |a Probability Theory. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Thermodynamics. |
| 650 | 2 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783540801207 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642059544 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540212645 |
| 830 | 0 | |a Springer Series in Synergetics, |x 2198-333X | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/b137680 |z Texto Completo |
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| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||