Stochastic models of exotic transport

Non-typical transport phenomena may arise when randomly driven particles re main in an active relationship with the environment instead of being passiv e. If we attribute to Brownian particles an ability to induce alterations o f the environment on suitable space-time scales, those in turn must in infu ence their further movement. In that case a general feedback mechanism need s to be respected. By resorting to a specific choice of the particle-bath c oupling, an enhanced (super-diffusion) or non-dispersive diffusion-type pro cesses are found to exist in generically non-equilibrium contexts. (C) 2000 Elsevier Science B.V. All rights reserved.