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We propose a mean-field model of intermittent particle transport, where aparticle may be in one of two phases: the first is an active (ballistic) phase,when a particle runs with constant velocity in some direction, and the secondis a passive (diffusive) phase, when the particle diffuses freely. The particlecan instantly change the phase of motion. When the particle is in the activephase the rate of transition to the passive phase depends, in general, on timefrom the beginning of the run, so the distribution of the free path is notexponential. When the particle is in the passive phase the transition rate isconstant, and diffusion is non-anomalous Brownian.

A mean-field model of intermittent particle transport and its quasi-steady-state approximation