Buch, Englisch, 408 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 633 g
Fundamentals and Applications
Buch, Englisch, 408 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 633 g
Reihe: Springer Series in Synergetics
ISBN: 978-3-642-05954-4
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Quantenphysik
- Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Naturwissenschaften Physik Physik Allgemein Experimentalphysik
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Technische Thermodynamik
- Naturwissenschaften Physik Thermodynamik
- Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
Weitere Infos & Material
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.
