Thermodynamics in Density-Functional Theory and Force Theorems
Author(s) -
Junzo Chihara,
M. Yamagiwa
Publication year - 2004
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.111.339
Subject(s) - physics , simple (philosophy) , statistical physics , density functional theory , functional theory , set (abstract data type) , thermodynamics , theoretical physics , classical mechanics , quantum mechanics , philosophy , epistemology , computer science , programming language
The density-functional (DF) theory provides a simple method for calculatingthe properties of an interacting system under an external potential byassociating it with a corresponding non-interacting system. Here, we find somerelations in this non-interacting system, which can enable us to set up thethermodynamical relations for a neutral electron-nucleus mixture in terms ofquantities of the non-interacting system and the exchange-correlation effect.In this way, Andersen's force theorems are clearly described and easily provedin conjunction with other types of force theorems, Janak's theorem extended toa finite-temperature system, pressure formulas and some thermodynamicalrelations. For this purpose, the thermodynamics in the DF theory is presentedin a systematic and explicit way.Comment: 18 pages with no figure; corrected typo
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