Floquet Theory of Classical Relaxation in Time-Dependent Field

The anomalous transport of particles in the presence a time-dependent field is considered framework comb model. This turbulent-like dynamics consists inhomogeneous advection along x-backbone and Brownian motion y-side branches. geometrically constrained leads to diffusion backbone, which described by fractional equation with coefficients. time periodic process localization particular form relaxation. analytical approach Floquet theory, developed for physical situation detail expressions both probability density function mean squared displacement are obtained. new theory that makes it possible investigate class fields.