caa a22 4500 475821637 CHVBK 20180406123820.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1023/A:1009430400339 doi (NATIONALLICENCE)springer-10.1023/A:1009430400339 Dinariev O. Institute of Earth Physics, Russian Academy of Sciences, Russia aut Substantiation of the Method of Density Functional in Classical and Quantum Statistical Mechanics [Elektronische Daten] [O. Dinariev] The relationship between a description of a multicomponent mixture based on the entropy functional with the terms quadratic in the density gradients of components and in the temperature on the one hand, and a description within the framework of classical and quantum statistical mechanics on the other hand, is investigated. Explicit expressions for the entropy functional are written in the context of classical and quantum theories. A quadratic approximation is then calculated for the case of small perturbations of a uniform state. The terms quadratic in the gradients are separated in this approximation. This allows ab initio calculations of the corresponding phenomenological coefficients to be done. Plenum Publishing Corporation, 2000 Russian Physics Journal Kluwer Academic Publishers-Plenum Publishers 43/9(2000-09-01), 713-717 1064-8887 43:9<713 2000 43 11182 https://doi.org/10.1023/A:1009430400339 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1009430400339 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Dinariev O. Institute of Earth Physics, Russian Academy of Sciences, Russia aut NATIONALLICENCE 773 0- Russian Physics Journal Kluwer Academic Publishers-Plenum Publishers 43/9(2000-09-01), 713-717 1064-8887 43:9<713 2000 43 11182 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer