Microscopic Models of Macroscopic Transport: A Selective Overview

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Joel Lebowitz, Rutgers University
Jadwin Hall 343

I will describe various attempts to derive, heuristically or rigorously, diffusive behavior of energy (particle) transport, i.e. Fourier's law (Fick's law) from classical microscopic models (mostly deterministic). Computer simulations showing presence or absence of such behavior in ordered and disordered systems will be described. Exact results are desperately lacking both in one and higher dimensions.