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.
Application of the theory of stochastic processes possessing finite propagation velocity to transport problems in polymeric systems / Brasiello, A.; Adrover, A.; Crescitelli, S.; Giona, M.. - 1981:(2018). (Intervento presentato al convegno 9th International conference on times of polymers and composites. From aerospace to nanotechnology tenutosi a Napoli, Italia) [10.1063/1.5045963].
Application of the theory of stochastic processes possessing finite propagation velocity to transport problems in polymeric systems
Brasiello A.
;Adrover A.;Giona M.
2018
Abstract
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.| File | Dimensione | Formato | |
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