Atomic scale dynamic theories and numerical simulation can explore atomistic processes but the relevant physics must fold atomistic understanding into a mesoscopic formulation in terms of average system properties. Transport equations for the density(or concentration), the flux and the pressure tensor are derived from a microscopic basis which mimics simulation by molecular dynamics. The validity of classical hydrodynamics is explored. The method includes interparticle interactions and small scale variations in time and space of relevance to modeling of membrane processes.
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