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Thermodynamical transcription of the density functional theory with constant temperature
Author(s) -
Nagy Ágnes
Publication year - 2017
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.25396
Subject(s) - kinetic energy , thermodynamics , ground state , entropy (arrow of time) , constant (computer programming) , negative temperature , density functional theory , chemistry , orbital free density functional theory , physics , local density approximation , quantum mechanics , computer science , programming language
The thermodynamical interpretation of the density functional theory for an electronic ground state is revisited. Ghosh et al. invented the thermodynamical transcription of the ground‐state density functional theory into a local thermodynamics. They introduced the idea of the local temperature that varies from point to point. The local temperature is defined via the kinetic energy density. The kinetic energy density is not uniquely defined, usually the everywhere positive gradient form is applied. Now we prove that it is possible selecting the kinetic energy density so that the local temperature be a constant for the whole system under consideration. The kinetic energy density is proportional to the electron density and the temperature is proportional to the kinetic energy. Furthermore, the kinetic energy density corresponding to the constant temperature, maximizes the information entropy.