Equilibrium distribution function of a relativistic dilute perfect gas

Physica A: Statistical Mechanics and its Applications

Volumn 387, Issue 11, 2008, Pages 2443-2454

  Debbasch, F ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

Relativistic kinetic theory; Relativistic statistical physics

Indexed keywords

CONTINUUM MECHANICS; KINETIC THEORY; QUANTUM THEORY; STATISTICAL METHODS;

RELATIVISTIC KINETIC THEORY; RELATIVISTIC STATISTICAL PHYSICS;

RELATIVITY;

EID: 39549114422     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.10.076     Document Type: Article

References (22)

1. In: Anile A., and Choquet-Bruhat Y. (Eds). Relativistic Fluid Dynamics. Lecture Notes in Mathematics vol. 1385 (1987), Springer-Verlag, Berlin
2. Balescu R. Relativistic statistical thermodynamics. Physica 40 (1968) 309-338
3. Barut A.O. Electrodynamics and classical theory of fields and particles (1964), The Macmillan Company
4. Bernstein J. Kinetic theory in the expanding universe. Cambridge Monographs on Mathematical Physics (1988), Cambridge University Press, Cambridge
5. Birrel N.D., and Davies P.C.W. Quantum fields in curved space. Cambridge Monographs on Mathematical Physics (1982), Cambridge University Press, Cambridge
6. Bogoliubov N.N., and Shirkov D.V. Quantum Fields (1983), The Benjamin/Cummings Publishing Company, inc., Reading
7. de Groot S.R., van Leeuwen W.A., and van Weert CH.G. Relativistic Kinetic Theory. Principles and Applications (1978), North-Holland, Amsterdam
8. Debbasch F., Rivet J.P., and van Leeuwen W.A. Invariance of the relativistic one-particle distribution function. Physica A 301 (2001) 181
9. Dunkel J., and Hänggi P. One-dimensional nonrelativistic and relativistic Brownian motions: A microscopic collision model. Physica A 374 (2007) 559-572
10. J. Dunkel, P. Talkner, P. Hänggi, Haar measures, relative entropy and the relativistic canonical velocity distribution. arXiv:cond-math/0610045v2, 2006
11. Feynman R.P. Statistical Mechanics. A set of Lectures (1972), Addison-Wesley Publishing Company, inc., Reading
12. Fulling S.A. Aspects of Quantum Field Theory in Curved Space-Time. London Mathematical Society Student Texts vol. 17 (1989), Cambridge University Press
13. Haag R. Local Quantum Physics. Texts and Monographs in Physics (1992), Springer-Verlag, Berlin
14. Israel W. Covariant fluid mechanics and thermodynamics: An introduction. In: Anile A., and Choquet-Bruhat Y. (Eds). Relativistic Fluid Dynamics. Lecture Notes in Mathematics vol. 1385 (1987), Springer-Verlag, Berlin
15. Itzikson C., and Zuber J.B. Quantum Field Theory (1980), Mc Graw and Hill, New York
16. Jüttner F. Ann. Phys. (Leipzig) 34 (1911) 856
17. Landau L.D., and Lifshitz E.M. Statistical Physics. Course of Theoretical Physics. first edition vol. 5 (1959), Pergamon Press
18. Le Bellac M. Thermal Field Theory (1996), Cambridge University Press, Cambridge
19. Lehmann E. Covariant equilibrium statistical mechanics. J. Math. Phys. 47 (2006) 023303
20. Schieve W.C. Covariant relativistic statistical mechanics of many particles. Found. Phys. 35 8 (2005) 1359-1381
21. Wald R.M. General Relativity (1984), The University of Chicago Press, Chicago
22. Wald R.M. Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics. Chicago Lectures in Physics. (1994), The University of Chicago Press, Chicago