Thermodynamics in Density-Functional Theory and Force Theorems

DOI10.1143/PTP.111.339zbMATH Open1076.82020arXivphysics/0307008OpenAlexW2014065451MaRDI QIDQ4822055

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Publication date: 25 October 2004

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Abstract: The density-functional (DF) theory provides a simple method for calculating the properties of an interacting system under an external potential by associating it with a corresponding non-interacting system. Here, we find some relations in this non-interacting system, which can enable us to set up the thermodynamical relations for a neutral electron-nucleus mixture in terms of quantities of the non-interacting system and the exchange-correlation effect. In this way, Andersen's force theorems are clearly described and easily proved in conjunction with other types of force theorems, Janak's theorem extended to a finite-temperature system, pressure formulas and some thermodynamical relations. For this purpose, the thermodynamics in the DF theory is presented in a systematic and explicit way.

Full work available at URL: https://arxiv.org/abs/physics/0307008

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