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130626  eng 
020 


a 9783540264774

100 
1 

a Frank, T.D.

245 
0 
0 
a Nonlinear FokkerPlanck Equations
h Elektronische Ressource
b Fundamentals and Applications
c by T.D. Frank

250 


a 1st ed. 2005

260 


a Berlin, Heidelberg
b Springer Berlin Heidelberg
c 2005, 2005

300 


a XII, 408 p
b online resource

505 
0 

a Fundamentals  Strongly Nonlinear FokkerPlanck Equations  Free Energy FokkerPlanck Equations  Free Energy FokkerPlanck Equations with Boltzmann Statistics  Entropy FokkerPlanck Equations  General Nonlinear FokkerPlanck Equations  Epilogue

653 


a Quantum Physics

653 


a Complex Systems

653 


a Thermodynamics

653 


a Probability Theory

653 


a System theory

653 


a Quantum physics

653 


a Mathematical physics

653 


a Theoretical, Mathematical and Computational Physics

653 


a Mathematical Methods in Physics

653 


a Probabilities

041 
0 
7 
a eng
2 ISO 6392

989 


b Springer
a Springer eBooks 2005

490 
0 

a Springer Series in Synergetics

028 
5 
0 
a 10.1007/b137680

856 
4 
0 
u https://doi.org/10.1007/b137680?nosfx=y
x Verlag
3 Volltext

082 
0 

a 530.12

520 


a Providing an introduction to the theory of nonlinear FokkerPlanck equations, this book discusses fundamental properties of transient and stationary solutions, emphasizing the stability analysis of stationary solutions by means of selfconsistency equations, linear stability analysis, and Lyapunov's direct method. Also treated are Langevin equations and correlation functions. Nonlinear FokkerPlanck Equations addresses various phenomena such as phase transitions, multistability of systems, synchronization, anomalous diffusion, cutoff solutions, travellingwave solutions and the emergence of power law solutions. A nonlinear FokkerPlanck 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
