A simple equation of state for hard disks on the hyperbolic plane is proposed. It yields the exact second virial coefficient and contains a pole at the highest possible packing. A comparison with another very recent theoretical proposal and simulation data is presented.

This note examines the second virial coefficient for an imperfect gas subject to a 2n-n interparticle potential in any dimension d between 0 and n. A compact analytic expression is presented for this quantity which shows that, apart from a numerical factor, its temperature dependence is a universal function parameterized by d/n.

In this paper, we calculate the second virial coefficient for binary mixtures of Ar with CH4 and CO in order to evaluate the performance of equations of state (EOSs). The investigated EOSs are van der Waals (vdW), Redlich-Kwong (RK), Peng-Robinson (PR), Carnahan-Starling–van der Waals (CS-vdW) and Guggenheim-van der Waals (G-vdW) based on van der Waals model. In our work, we also use Dieterici ...

The quantum–mechanical formulations for the second-virial, and acoustic virial, coefficients are derived spin-polarized atomic hydrogen (H?). dependence of these on temperature T as well nuclear polarization $$\zeta \;$$ is analyzed. This done first time. main inputs in computations scattering phase shifts, which obtained using Lippmann–Schwinger equation, with Silvera triplet-state potential. ...