Nonequilibrium statistical mechanics of preasymptotic dispersion
We provide a nonequilibrium statistical mechanical theory of transport which involves both diffusive and convective mixing (dispersion) at all scales. The theory is based on a generalization of classical approaches used in molecular hydrodynamics and on time-correlation functions defined in terms of nonequilibrium expectations. The resulting constitutive laws are nonlocal, and constitutive parameters are wavevector and frequency dependent. All results reduce to their convolution-Fickian, quasi- Fickian, or Fickian counterparts in the appropriate limits.
scientific article; zbMATH DE number 796324