Predictions from information-theoretical models of nonequilibrium radiation

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 3, 1999, Pages 3710-3713

  Fort, J ^a  

^a UNIVERSITY OF GIRONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009201236     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.3710     Document Type: Article

References (30)

1. R. Domínguez and D. Jou, Phys. Rev. E 51, 158 (1995).
2. R. Domínguez-Cascante and J. Faraudo, Phys. Rev. E 54, 6933 (1996).
3. E. T. Jaynes, Phys. Rev. 106, 620 (1957)
4. Phys. Rev.E. T. Jaynes108, 171 (1957).
5. D. Jou, J. Casas-Vázquez, and G. Lebon, Extended Irreversible Thermodynamics (Springer, Berlin, 1996).
6. J. Camacho, Phys. Rev. E 51, 220 (1995).
7. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, 1970).
8. R. E. Nettleton, Phys. Rev. E 53, 1241 (1996).
9. L. D. Landau and E. M. Lifshitz, Statistical Physics. Part 1 (Pergamon, Oxford, 1980).
10. J. Fort and J. E. Llebot, J. Phys. A 29, 3427 (1996).
11. J. Fort and J. E. Llebot, J. Math. Phys. 39, 345 (1998).
12. In order to clarify the notation, we mention that we follow the approach in 8: for example, (Formula presented) stands for the number of matter particles in (Formula presented) and (Formula presented) divided by (Formula presented) In this way (Formula presented) and (Formula presented) are dimensionless and, e.g., the Maxwell distribution for a gas at rest reads (Formula presented) see 8, Sec. 38.
13. J. Fort, Physica A 243, 275 (1997).
14. J. Fort, D. Jou, and J. E. Llebot, Physica A 248, 97 (1998).
15. J. Fort, J. A. González, and J. E. Llebot, Phys. Lett. A 236, 193 (1997).
16. R. E. Nettleton and S. L. Sobolev, J. Non-Equilib. Thermodyn. 20, 205 (1995).
17. D. Jou, C. Pérez-García and J. Casas-Vázquez, J. Phys. A 17, 2799 (1984).
18. R. E. Nettleton, Phys. Rev. A 42, 4622 (1990).
19. (Formula presented) is defined as the number of microstates in (Formula presented) that correspond to a given macrostate, divided by the total number of microstates corresponding to the same macrostate, and multiplied by (Formula presented) In this way, (Formula presented) is dimensionless. Similarly, (Formula presented) in Eq. (3) and (Formula presented) are also dimensionless 11.
20. R. E. Nettleton, S. Afr. J. Phys. 14, 27 (1991).
21. P. Résibois and M. De Leener, Classical Kinetic Theory of Fluids (Wiley, New York, 1977).
22. R. E. Nettleton, J. Chem. Phys. 106, 10 311 (1997).
23. R. E. Nettleton, Period. Polytech., Chem. Eng. 41, 175 (1997).
24. G. C. Essex, Advances in Thermodynamics(Taylor & Francis, New York, 1990), Vol. 3, p. 435.
25. A. Sommerfeld, Thermodynamics and Statistical Mechanics (Academic Press, San Diego, 1995).
26. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic Press, New York, 1984).
27. G. C. Pomraning, The Equations of Radiation Hydrodynamics (Pergamon, Oxford, 1973).
28. G. C. Pomraning, J. Quant. Spectrosc. Radiat. Transf. 27, 517 (1982).
29. J. Oxenius, Kinetic Theory of Particles and Photons (Springer, Berlin, 1986).
30. D. Mihalas and B. W. Mihalas, Foundations of Radiation Hydrodynamics (Oxford University Press, Oxford, 1984).