Abstract
The thermodynamic properties of the parabolic-well fluid are considered. The intermolecular interaction potential of this model, which belongs to the class of the so-called van Hove potentials, shares with the square-well and the triangular well potentials the inclusion of a hard-core and an attractive well of relatively short range. The analytic second virial coefficient for this fluid is computed explicitly and an equation of state is derived with the aid of the second-order thermodynamic perturbation theory in the macroscopic compressibility approximation and taking the hard-sphere fluid as the reference system. For this latter, the fully analytical expression of the radial distribution function, consistent with the Carnahan-Starling equation of state as derived within the rational function approximation method, is employed. The results for the reduced pressure of the parabolic-well fluid as a function of the packing fraction and two values of the range of the parabolic-well potential at different temperatures are compared with Monte Carlo and Event‐driven molecular dynamics simulation data. Estimates of the values of the critical temperature are also provided.
Highlights
The issue of Frontiers in Physics this paper belongs to is devoted to commemorating the celebration of fifty consecutive annual Winter Meetings in Statistical Physics in Mexico
In order to assess the value of the thermodynamic perturbation theory approach presented in the previous section, we have carried out NVT Monte Carlo (MC) simulations to compute the pressure of parabolic-well fluids for various values of the range λ ≤ 2 and supercritical temperatures for later comparison with our theoretical results
We have addressed the study of the thermodynamic properties of a fluid whose molecules interact through a
Summary
We have chosen to write on a subject that has been present in these meetings from the beginning; namely, the thermodynamic properties of fluids that we are persuaded can still offer some interesting results. We begin by recalling that, in an attempt to prove the validity of the thermodynamic limit of classical statistical mechanics, van Hove [1] introduced in 1949 a potential φ(r) consisting of a hard core of radius r0 and a finite-range attractive tail. It should be pointed out that two popular models of intermolecular potentials used in liquid state physics, namely, the triangle-well potential and the Thermodynamic Properties of Parabolic-Well Fluid square-well potential, fulfill the condition of being van Hove potentials and their thermodynamic properties have been thoroughly studied The main aim of this paper is to contribute to partly remedying this situation
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