×

The classical limit of relativistic extended thermodynamics. (English) Zbl 0614.76124

I. Shih-Liu, I. Müller and T. Ruggeri [(*) Ann. Phys. 169, 191-219 (1986)] proposed a relativistic formulation of extended thermodynamics which takes as independent variables the fourteen fields defined by the particle-flux four-vector and the energy-momentum tensor. In the present paper, the authors investigate the classical non- relativistic limit of this theory and analyze systematically the relations between relativistic and non-relativistic variables,and relativistic and non-relativistic constitutive functions. The most relevant and unexpected result of the paper is that the relativistic dynamic pressure, a quantity that is relativistically small in a non- reacting gas, becomes measurable in a reacting gas in which mass defect occurs. This is an original feature stemming from the formalism in (*), not found in previous formalisms of relativistic extended thermodynamics.
Reviewer: D.Jou

MSC:

76Y05 Quantum hydrodynamics and relativistic hydrodynamics
82B35 Irreversible thermodynamics, including Onsager-Machlup theory
82B40 Kinetic theory of gases in equilibrium statistical mechanics
PDF BibTeX XML Cite
Full Text: Numdam EuDML

References:

[1] C. Marle , Sur l’Établissement des Équations de l’Hydrodynamique des Fluides Relativistes Dissipatives . Ann. Inst. Henri Poincaré , t. 10 , 1969 .
[2] W. Dreyer , Statistical Mechanics of a Relativistic Gas in Non-Equilibrium (in preparation).
[3] I-Shih Liu , I. Müller , T. Ruggeri , Relativistic Thermodynamics of Gases . Annals of Physics , Vol. 169 , No. 1 , June 1986 . MR 846050
[4] W. Dreyer , I. Müller , Extended Relativistic Thermodynamics of Gases . Proceeding of the Workshop on Mathematic all Aspects of Fluid and Plasma Dynamics , Trieste , 1984 .
[5] G.M. Kremer , Extended Thermodynamics of ideal Gases with 14 Fields . Ann. I. H. P., Phys. Theor. , t. 45 , 1986 , p. 419 - 440 . Numdam | MR 880746 | Zbl 0618.76075 · Zbl 0618.76075
[6] H. Grad , Principles of the Kinetic Theory of Gases . Handbuch der Physik XII , p. 205 , Springer , Berlin - Heidelberg - Göttingen , 1958 . MR 135535
[7] I-Shih Liu , I. Müller , Extended Thermodynamics of Classical and Degenerate Ideal Gases . Arch. Rational Anal. , t. 83 , 1983 . MR 714978 | Zbl 0554.76014 · Zbl 0554.76014
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.