An Introduction to Statistical Mechanics with Applications to Nonlocal Dispersion

  • John H. Cushman
Part of the Theory and Applications of Transport in Porous Media book series (TATP, volume 10)


Theories in statistical mechanics provide the tools to go from the atomistic or molecular structure of matter to a continuum scale. Such theories allow detailed molecular data to be mapped into field (such as stress) and constitutive properties or material parameters. This approach is quite different from the continuum mechanical, wherein the molecular makeup of the fields is unknown and, to a large extent irrelevant. The advancement of computer architecture and algorithms in recent years now allows many continuum scale material parameters to be determined directly from molecular-scale computer (virtual) experiment, rather than continuum-scale experiment. It is mainly for this reason that we include this chapter in this monograph.


Correlation Function Dynamic Variable Canonical Ensemble Liouville Operator Grand Canonical Ensemble 
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Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • John H. Cushman
    • 1
  1. 1.Purdue UniversityWest LafayetteUSA

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