Application of density functional theory to relativistic hydrodynamics

The density functional method is used in nonrelativistic hydrodynamics for a description of multicomponent multiphase mixtures. The method is based on an expression for the entropy in the form of a functional with terms quadratic in gradients of component densities. In the present work, the density...

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Bibliographic Details
Published in:Russian physics journal 2007-03, Vol.50 (3), p.275-282
Main Author: Dinariev, O. Yu
Format: Article
Language:English
Subjects:
Density functional theory
Fluid mechanics
Hydrodynamics
Relativistic effects
Relativistic theory
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Summary:The density functional method is used in nonrelativistic hydrodynamics for a description of multicomponent multiphase mixtures. The method is based on an expression for the entropy in the form of a functional with terms quadratic in gradients of component densities. In the present work, the density functional theory is generalized to the relativistic case. This generalization involves a solution of a number of problems: relativistically covariant formulation of the theory equations, derivation of basic relationships with allowance for the generalized relativistic principle of entropy production, and check of the relativistic causality of the theory. It is demonstrated that higher-order derivatives in the theory appear to be compatible with the causality in the basic relationships nonlocal in space and time.
ISSN:1064-8887
1573-9228
DOI:10.1007/s11182-007-0038-z