Density distribution functions of confined Tonks–Takahashi fluids

Publisher Website
Google Scholar
Abstract
The density distribution functions of a confined one‐dimensional fluid of particles obeying the Tonks–Takahashi nearest neighbor two‐body potential are reduced to simple functions of the grand canonical ensemble partition function. The resulting formulas are analogous to those found by Robledo and Rowlinson for a hard‐rod fluid. In the absence of an external field the partition functions can be evaluated by the method of Laplace transforms. The dependence of the pressure P on the separation L of the confining walls is investigated for three model potentials: (i) hard rod, (ii) square well, and (iii) triangle well. P is an oscillating function of L in all three cases. The oscillations arise from the ordering effect of the repulsive forces between particles. The attractive interactions of the triangle‐well potential reinforces the ordering whereas those of the square‐well potential diminishes the ordering. Results for semiconfined and homogeneous fluids are also presented.

This publication has 5 references indexed in Scilit: