Open AccessScaling analysis of a physics-guided kinetic energy density expansion
Author(s) -
Bader H. Aldossari,
Mel Levy,
Abdulaziz Al-Aswad,
Fahhad H. Alharbi
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2090/1/012123
Subject(s) - scaling , kinetic energy , homogeneity (statistics) , consistency (knowledge bases) , statistical physics , constraint (computer aided design) , physics , energy density , point (geometry) , theoretical physics , mathematics , classical mechanics , geometry , statistics
An approach guided by physical consistency in determining the general forms of D-dimensional kinetic energy density functionals (KEDF) has been demonstrated previously, producing an expansion which contains the majority of the known one-point KEDF forms. It is known that any noninteracting KEDF shall necessarily have a homogeneity degree of 2 in coordinate scaling. This paper demonstrates that this condition is already satisfied in the general expansion despite not being conceived with the scaling as a constraint.