The state dependent diffusion concerns with the Brownian motion of a particle in inhomogeneous media. Based on a system reservoir nonlinear coupling model, when the bath is modulated by an external Gaussian random noise with arbitrary decaying correlation time, we present a microscopic approach...

We study a general class of nonlinear mean field Fokker-Planck equations in relation with an effective generalized thermodynamical (E.G.T.) formalism. We show that these equations describe several physical systems such as: chemotaxis of bacterial populations, Bose-Einstein condensation in the...

Far-from-equilibrium models of interacting particles in one dimension are used as a basis for modelling the stock-market fluctuations. Particle types and their positions are interpreted as buy and sel orders placed on a price axis in the order book. We revisit some modifications of well-known...