Nonequilibrium statistical mechanics of preasymptotic dispersion
type: Item
instance of: scholarly article
title: Nonequilibrium statistical mechanics of preasymptotic dispersion
zbMATH Open document ID: 0831.76079
DOI: 10.1007/BF02186747
author: John H. Cushman
author: Xiaolong Hu
author: Timothy R. Ginn
published in: Journal of Statistical Physics
publication date: 1994-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 796324
zbMATH Keywords: nonlocal constitutive laws
zbMATH Keywords: fractal characters
zbMATH Keywords: heterogeneity
zbMATH Keywords: dispersion
zbMATH Keywords: time-correlation functions
MaRDI profile type: Publication
cites work: Mathematical models with exact renormalization for turbulent transport
cites work: A random field model for anomalous diffusion in heterogeneous porous media
cites work: Mechanics of heterogeneous porous media with several spatial scales
cites work: Solute transport in heterogeneous porous formations
cites work: Q3568481
full work available at URL: https://doi.org/10.1007/bf02186747
OpenAlex ID: W1981363793
description: scientific article; zbMATH DE number 796324