By T.D. Frank

Centered round the common phenomena of relaxations and fluctuations, this monograph offers readers with an exceptional starting place within the linear and nonlinear Fokker-Planck equations that describe the evolution of distribution features.

It emphasizes rules and notions of the idea (e.g. self-organization, stochastic suggestions, unfastened strength, and Markov processes), whereas additionally illustrating the broad applicability (e.g. collective habit, multistability, entrance dynamics, and quantum particle distribution).

The concentration is on rest approaches in homogeneous many-body platforms describable via nonlinear Fokker-Planck equations. additionally handled are Langevin equations and correlation capabilities.

Since those phenomena are exhibited by means of a various spectrum of platforms, examples and purposes span the fields of physics, biology and neurophysics, arithmetic, psychology, and biomechanics.