Exact results for one dimensional fluids through functional integration

TL;DR

This paper reviews exactly solvable one-dimensional fluid models using functional integration, introduces new developments for non pairwise-additive interactions, and applies these to a Gaussian model with unresolved thermodynamics.

Contribution

It advances the theoretical framework for one-dimensional fluids, especially for non pairwise-additive interactions, and explores a Gaussian model with unresolved thermodynamic properties.

Findings

Reviewed exactly solvable models using functional integration.

Developed new methods for non pairwise-additive interactions.

Applied methods to a Gaussian model with unresolved thermodynamics.

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.