The formulation of transport models in polymeric systems starting from the theory of stochastic processes possessing finite propagation velocity is here presented. Hyperbolic continuous equations are shown to be derived from Poisson-Kac stochastic processes and the extension to higher dimensions is discussed. We analyze the physical implications of this approach, namely: non-Markovian nature, admissible boundary conditions, breaking of concentration-flux paradigm and extension to nonlinear case.
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