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A complete formulation is given of an exact kinetic theory for lattice gases.This kinetic theory makes possible the calculation of corrections to the usualBoltzmann / Chapman-Enskog analysis of lattice gases due to the buildup ofcorrelations. It is shown that renormalized transport coefficients can becalculated perturbatively by summing terms in an infinite series. Adiagrammatic notation for the terms in this series is given, in analogy withthe diagrammatic expansions of continuum kinetic theory and quantum fieldtheory. A closed-form expression for the coefficients associated with thevertices of these diagrams is given. This method is applied to several standardlattice gases, and the results are shown to correctly predict experimentallyobserved deviations from the Boltzmann analysis.Comment: 94 pages, pure LaTeX including all figure

Correlations and renormalization in lattice gases