The statistical thermodynamics of transport processes

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Abstract
It is shown that Kubo's statistical formula for the general transport coefficient of a classical system may be simply obtained by considering the result of a retarded measurement on a canonical non-equilibrium ensemble. It is further shown that if in a continuous system the entropy production takes the form then the coefficients lμv occurring in the linear equations are given by the general formula where the integrand is an average over the canonical ensemble and τ is a virtually infinite time. The usual transport equations will, however, break down if the correlation distances between the local fluxes are of macroscopic dimensions.