Substantiation of the method of density functional in classical and quantum statistical mechanics
type: Item
instance of: scholarly article
title: Substantiation of the method of density functional in classical and quantum statistical mechanics
zbMATH Open document ID: 1156.82358
DOI: 10.1023/A:1009430400339
author: O. Yu. Dinariev
published in: Russian Physics Journal
publication date: 2004-09-21T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 82C03
Mathematics Subject Classification ID: 82C10
zbMATH DE Number: 2101397
MaRDI profile type: Publication
full work available at URL: a:1009430400339
OpenAlex ID: W2913747863
description: scientific article; zbMATH DE number 2101397