Transport processes in magnetically confined plasmas in the nonlinear regime

Chaos

Volumn 16, Issue 2, 2006, Pages

  Sonnino, Giorgio ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745683428     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2201472     Document Type: Article

References (23)

1. G. Sonnino, Nuovo Cimento Soc. Ital. Fis., B, 115B, 1057 (2000).
2. G. Sonnino, "Thermodynamic Field Theory (An Approach to Thermodynamics of Irreversible Processes)," in Proceedings of the 9th International Workshop on Instabilities and Nonequilibrium Structures, Viña del Mar, Chile (2001).
3. G. Sonnino, Field Theory Approach to Thermodynamics of Irreversible Processes, Thèse d'Habilitation à Diriger des Recherches, H.D.R., Institut Non Linèaire de Nice, France (2002).
4. G. Sonnino, Int. J. Quantum Chem. 98, 191 (2004).
5. R. Balescu, Transport Processes in Plasmas (Elsevier Science, North-Holland, 1988), Vol. 2.
6. F. L. Hinton and R. D. Hazeltine, Rev. Mod. Phys. 48, 239 (1976).
7. P. Glansdorff and I. Prigogine, Thermodynamics of Structures, Stability and Fluctuations (Wiley, New York, 1971);
8. B. Balescu, in Transport Processes in Plasmas (Elsevier, North-Holland, 1988), Vol. 1.
9. D. Pfirsch and A. Schlüter, Report No. MPI/PA/7/62, Max Planck Institute für Physik und Astrophysics, Garching, Germany (1962).
10. A. A. Galeev and R. Z. Sagdeev, Sov. Phys. JETP 26, 233 (1968).
11. S. P. Hirshman and D. J. Sigmar, Nucl. Fusionf 21, 1079 (1981).
12. R. Balescu, Phys. Fluids B 3, 564 (1991).
13. K. C. Shaing and J. D. Callen, Phys. Fluids 26, 3315 (1983).
14. R. Bonola, Non-Euclidean Geometry (Dover, New York, 1955), pp. 65-67.
15. G. Sonnino, Nuovo Cimento Soc. Ital. Fis., B, 115B, 1057 (2004).
16. G. Sonnino and J. Evslin, Int. J. Quantum Chem. (to be published).
17. G. Sonnino and J. Evslin, Phys. Lett. A (to be published).
18. D. Lovelock and H. Rund, Tensors, Differential Forms and Variational Principles (Dover, New York, 1989).
19. S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972).
20. G. Sonnino, J. Math. Phys. (to be published).
21. R. Courant and D. Hubert, Method of Mathematical Physics (Wiley, New York, 1937), Vol. 1.
22. Ph. Peeters and G. Sonnino, Plasma Phys. Controlled Fusion (to be published).
23. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953); In this paper, we adopt the Onsager nomenclature; a thermodynamic system is in a nonlinear regime when the flows are not linearly related to the thermodynamic forces. Therefore, the term "regime" used by Onsager in thermodynamics should not be confused with the same term, used in plasma physics, to characterize the transport regimes, i.e., the Banana, Plateau, and Pfirsch-Schlüter regimes; A rigorous derivation of Eq. (46), obtained by applying the tetrad formalism, can be found in Ref. 14; In literature, the harmonic coordinate system are coordinates satisfying the hyperbolic P.D.E., written in a covariant form. Here, for harmonic coordinate system, we indicate the coordinate system satisfying the elliptic P.D.E., written in a covariant form; This aspect has been suggested and discussed with U. Finzi of the European Commission, Research Directorate-General.