# Role of the Barkerâ€“Henderson diameter in thermodynamics

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The thermodynamics of mean spherical approximation for an arbitrary mixture of charged hard spheres with sticky-point attraction in the Wertheim formalism is derived for the most general case. It is shown that the electrostatic excess thermodynamics can be still computed from relatively simple...

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The self-consistent RPA (SCRPA) developed by Schuck and coauthors is extended to finite temperatures. The corresponding equations are derived by using the formalism of thermofield dynamics. The intrinsic energy of a system is calculated as the expectation value of the Hamiltonian with respect to...

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The analytical solution of mean spherical approximation of the Ornsteinâ€“Zernike equation for a Yukawa fluid with factorizable coefficients is used to obtain a simple form of the equation of state for the mixture. These results are an extension of Ginozaâ€™s work. Â© 1996 American...

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We have solved the Ornsteinâ€“Zernike equation in the hypernetted chain (HNC) approximation for several mixtures of electrolytes and uncharged hard spheres. The mixtures that we studied range from a simple restricted primitive model plus hard spheres of the same size to highly asymmetric...

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Explicit expressions of the mean spherical approximation (MSA) solvation thermodynamic functions, the Gibbs free energy, energy, enthalpy, entropy, apparent molar heat capacities, and partial molar volume are derived starting from the Helmholtz free energy. The thermodynamic consistency of the...

- Mean spherical approximation (MSA) for a simple model of electrolytes. I. Theoretical foundations and thermodynamics. Ho\ye, Johan S.; Lomba, Enrique // Journal of Chemical Physics;5/1/1988, Vol. 88 Issue 9, p5790
A simple electrolyte in a polar solvent is modeled by a mixture of polar hard spheres and equal diameter charged hard spheres. The solution of the mean spherical approximation for this model is rederived to its full extent. Explicit expressions for thermodynamic quantities in terms of the MSA...

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Presents a study that examined thermodynamics and correlations of the easy-plane ferromagnet cesium nickel fluorite. Introduction of the quantum corrections in the classical sine-Gordon thermodynamics; Application of the proposed theoretical approach pure quantum self-consistent harmonic...

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The self-energy-functional approach proposed recently is applied to the single-band Hubbard model at half-filling to study the Mott-Hubbard metal-insulator transition within the most simple but non-trivial approximation. This leads to a mean-field approach which is interesting conceptually:...

- Equation of state for agents on graphs. Majka, A.; Wis̀licki, W. // European Physical Journal B -- Condensed Matter;Nov2005, Vol. 48 Issue 2, p271
Choice models for populations of agents on graphs are studied in terms of statistical thermodynamics. Equations of state are derived and discussed for different connectivity schemes, utility approximations, and temperature and volume regimes. Analogies to ideal classical and quantum gases are...