Exact results for one dimensional fluids through functional integration

Abstract

We review some of the exactly solvable one dimensional continuum fluid models of equilibrium classical statistical mechanics under the unified setting of functional integration in one dimension. We make some further developments and remarks concerning fluids with non pairwise-additive interaction. We then apply our developments to the study of a particular non pairwise-additive Gaussian model for which we are unable to find a well defined thermodynamics.