Kubo formulas for dispersion in heterogeneous periodic nonequilibrium systems
Langue
en
Article de revue
Ce document a été publié dans
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics. 2015-12-02, vol. 92, n° 6, p. 062103 (1-11)
American Physical Society
Résumé en anglais
We consider the dispersion properties of tracer particles moving in non-equilibrium heterogeneous periodic media. The tracer motion is described by a Fokker-Planck equation with arbitrary spatially periodic (but constant ...Lire la suite >
We consider the dispersion properties of tracer particles moving in non-equilibrium heterogeneous periodic media. The tracer motion is described by a Fokker-Planck equation with arbitrary spatially periodic (but constant in time) local diffusion tensors and drift, eventually with the presence of obstacles. We derive a Kubo-like formula for the time dependent effective diffusion tensor valid in any dimension. From this general formula, we derive expressions for the late time effective diffusion tensor and drift in these systems. In addition, we find an explicit formula for the late finite time corrections to these transport coefficients. In one dimension, we give closed analytical formula for the transport coefficients. The formulas derived here are very general and provide a straightforward method to compute the dispersion properties in arbitrary non-equilibrium periodic advection-diffusion systems.< Réduire
Mots clés en anglais
Classical transport
Stochastic processes
Stochastic analysis methods
Origine
Importé de halUnités de recherche