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.

12 pages, 1 table, 1 figure

References in corpus (1)

• Non existence of a phase transition for the Penetrable Square Wells in one dimension

Cited by in corpus (9)

• Triangle-Well and Ramp Interactions in One-Dimensional Fluids: A Fully Analytic Exact Solution
• One-dimensional fluids with second nearest-neighbor interactions
• One-component fermion plasma on a sphere at finite temperature
• Exploring anisotropic pressure and spatial correlations in strongly confined hard-disk fluids. Exact results
• Plasma living in a curved surface at some special temperature
• Monte Carlo simulation of Hard-, Square-Well, and Square-Shoulder Disks in narrow channels
• One-dimensional fluids with positive potentials
• One-component fermion plasma on a sphere at finite temperature. The anisotropy in the paths conformations
• Exact anisotropic properties of hard spheres in narrow cylindrical confinement