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&#...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Frank, Till Daniel (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
Σειρά:Springer Series in Synergetics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Frank, Till Daniel.  |e author. 
245 1 0 |a Nonlinear Fokker-Planck Equations  |h [electronic resource] :  |b Fundamentals and Applications /  |c by Till Daniel Frank. 
246 3 |a This title is included in the Springer complexity programme. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2005. 
300 |a XII, 408 p.  |b online resource. 
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490 1 |a Springer Series in Synergetics,  |x 0172-7389 
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 Physics. 
650 0 |a Probabilities. 
650 0 |a Quantum physics. 
650 0 |a Thermodynamics. 
650 0 |a Statistical physics. 
650 0 |a Dynamical systems. 
650 1 4 |a Physics. 
650 2 4 |a Quantum Physics. 
650 2 4 |a Statistical Physics, Dynamical Systems and Complexity. 
650 2 4 |a Probability Theory and Stochastic Processes. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Thermodynamics. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783540212645 
830 0 |a Springer Series in Synergetics,  |x 0172-7389 
856 4 0 |u http://dx.doi.org/10.1007/b137680  |z Full Text via HEAL-Link 
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950 |a Physics and Astronomy (Springer-11651)