A microscopic perspective on the physical foundations of continuum mechanics. II: A projection operator approach to the separation of reversible and irreversible contributions to macroscopic behaviour

DOI10.1016/S0020-7225(97)00016-5zbMath0914.73009MaRDI QIDQ1388305

A. Ian Murdoch, Dick Bedeaux

Publication date: 18 October 1998

Published in: International Journal of Engineering Science (Search for Journal in Brave)

zbMATH Keywords

Fokker-Planck equationevolution equationLangevin equationLiouville operatorlocal equilibriumdynamic ergodicitylocal macroscopic spatial averagemacroscopic probability densitymicroscopic probability densityspace-time average

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Micromechanical theories (74A60) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items

Closure method for spatially averaged dynamics of particle chains ⋮ On an operator identity central to projection operator methodology

Cites Work

• A microscopic perspective on the physical foundations of continuum mechanics. I: Macroscopic states, reproducibility, and macroscopic statistics, at prescribed scales of length and time
• Linear theory of micropolar viscoelasticity
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