Internal energy in dissipative relativistic fluids

Journal of Mechanics of Materials and Structures

Volumn 3, Issue 6, 2008, Pages 1161-1169

  Ván, Péter ^a,b  

^a WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

^b Bergen Center for Computational Science   (Norway)

Author keywords

Liu procedure; Relativistic internal energy; Relativistic nonequilibrium thermodynamics

Indexed keywords

RELATIVITY; THERMODYNAMICS;

CONSTITUTIVE RELATIONS; ENERGY DENSITY; ENERGY FLUXES; ENERGY MOMENTUM; INTERNAL ENERGIES; MOMENTUM DENSITY; RELATIVISTIC THEORY; SECOND LAW OF THERMODYNAMICS;

MOMENTUM;

EID: 85091794709     PISSN: 15593959     EISSN: None     Source Type: Journal    
DOI: 10.2140/jomms.2008.3.1161     Document Type: Article

References (14)

1. C. Eckart, "The thermodynamics of irreversible processes, I: The simple fluid", Phys. Rev. 58:3 (1940), 267-269.
2. C. Eckart, "The thermodynamics of irreversible processes, III: Relativistic theory of the simple fluid", Phys. Rev. 58:10 (1940), 919-924.
3. R. Geroch, "Relativistic theories of dissipative fluids", J. Math. Phys. 36:8 (1995), 4226-1241.
4. S. R. Groot and P. Mazur, Non-equilibrium thermodynamics, North-Holland Publishing, Amsterdam, 1962.
5. I. Gyarmati, Non-equilibrium thermodynamics/Field theory and variational principles, Springer, Berlin, 1970.
6. W. A. Hiscock and L. Lindblom, "Generic instabilities in first-order dissipative relativistic fluid theories", Phys. Rev. D 31:4 (1985), 725-733.
7. W. A. Hiscock and L. Lindblom, "Linear plane waves in dissipative relativistic fluids", Phys. Rev. D 35:12 (1987), 3723-3732.
8. W. Israel, "Nonstationary irreversible thermodynamics: a causal relativistic theory", Ann. Phys. New York 100:1-2 (1976), 310-331.
9. W. Israel and J. M. Stewart, "Progress in relativistic thermodynamics and electrodynamics of continuous media", Chapter 13, pp. 491-525 in General relativity and gravitation: one hundred years after the birth of Albert Einstein), vol. 2, edited by A. Helde, Plenum Press, New York, 1980.
10. L. Lindblom, "The relaxation effect in dissipative relativistic fluid theories", Ann. Phys. New York 247:1 (1996), 1-18.
11. I.-S. Liu, "Method of Lagrange multipliers for exploitation of the entropy principle", Arch. Ration. Mech. An. 46:2 (1972), 131-148.
12. I. Müller, "On the entropy inequality", Arch. Ration. Mech. An. 26:2 (1967), 118-141.
13. P. Ván, "Weakly nonlocal irreversible thermodynamics", Ann. Phys. Leipzig 12:3 (2003), 146-173.
14. P. Ván and T. S. Bíró, "Relativistic hydrodynamics-causality and stability", Eur. Phys. J. 155:1 (2008), 201-212. arXiv:0704.2039v2.