A model of relativistic one-component plasma with Darwin interactions

Physica A: Statistical Mechanics and its Applications

Volumn 238, Issue 1-4, 1997, Pages 369-404

  Alastuey, Angel ^a   Appel, Walter ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

Correlations; Darwin transverse interaction; Relativistic plasmas; Screening

Indexed keywords

CORRELATION METHODS; ELECTRODYNAMICS; ELECTROMAGNETIC WAVES; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PHASE SPACE METHODS; QUANTUM THEORY;

ALGEBRAIC OSCILLATORY AUTOSCREENING; DARWIN TRANSVERSE INTERACTIONS; QUANTUM ELECTRODYNAMICS (QED); RELATIVISTIC ONE COMPONENT PLASMA MODEL;

PLASMAS;

EID: 0031122119     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(96)00467-0     Document Type: Article

References (37)

1. C.G. Darwin, The dynamical motion of charged particles, Phil. Mag. 39 (1920) 537-551.
2. L.D. Landau and E. Lifchitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1989).
3. H. Essén, Darwin magnetic interaction energy and its macroscopic consequence, Phys. Rev. E 53 (1996) 5228-5239.
4. E. Lieb and H. Narnhofer, J. Stat. Phys. 12 (1975) 291.
5. E. Lieb and H. Narnhofer, J. Stat. Phys. 14 (1976) 465.
6. A. Alastuey, Propriétés d'équilibre du plasma classique à une composante en deux et trois dimensions, Ann. Phys. Fr. 11 (1986) 653-739.
7. J.E. Krizan and P. Havas, Relativistic corrections in the statistical mechanics of interacting particles, Phys. Rev. 128 (1962) 2916-2924.
8. J.E. Krizan, Magnetic interactions in a warm plasma, Phys. Rev. 177 (1969) 376-380.
9. J.E. Krizan, Relativistic plasmas and long-range effects, Phys. Rev A 10 (1974) 298-301.
10. J.E. Mayer and M.G. Mayer, Statistical Mechanics (Wiley, New York, 1940).
11. J.E. Mayer and E. Montroll, J. Chem. Phys. 9(1941) 2.
12. J.E. Mayer, The theory of ionic solutions, J. Chem. Phys. 18 (1950) 1426-1436.
13. E.E. Salpeter, On Mayer's theory of cluster expansions. Ann. Phys. 5 (1958) 183-223.
14. J.P. Hansen and I.R. Mc Donald, Theory of Simple Liquids (Academic Press, New York, 1986).
15. E. Meeron, Theory of potentials of average force and radial distribution functions in ionic solutions. J. Chem. Phys. 28 (1958) 630-643.
16. R. Abe, Giant cluster expansion theory and its application to high temperature plasma, Progr. Theor. Phys. 22 (1959) 213-226.
17. B.A. Trubnikov and V.V. Kosachev, Thermodynamics of a weakly relativistic plasma, Sov. Phys. JETP 27 (1968) 501-506.
18. V.V. Kosachev and B.A. Trubnikov, Relativistic corrections to the distribution functions of particles in a high-temperature plasma, Nuclear Fusion 9 (1969) 53-56.
19. L.A. Turski, Pair correlation function for a system with velocity-dependent interactions, J. Stat. Phys. 11 (1974) 1-16.
20. J.I. Kapusta, Finite-Temperature Field Theory (Cambridge University Press, Cambridge, 1989).
21. M. Le Bellac, Thermal Field Theory (Cambridge University Press, Cambridge, 1996).
22. A. Alastuey and W. Appel, Weakly relativistic plasmas at equilibrium, in: Physics of Strongly Coupled Plasmas, eds. W.D. Kraeft and M. Schlanges (World Scientific, Singapore, 1996) 59-65.
23. J.D. Jackson, Classical Electrodynamics (Wiley, New York, 1962).
24. V.I. Arnol'd, Mathematical Methods of Classical Mechanics (Springer, Berlin, 1989).
25. C. Cohen-Tannoudji, J. Dupont-Roc and G. Grynberg, Photons et Atomes, Introduction à l'électrodynamique quantique (Interéditions/Éditions du CNRS, 1987).
26. G. Breit, Phys. Rev. 34 (1929) 553.
27. R.D. Jones and A. Pytte, Hamiltonian of a slightly relativistic plasma, Phys. Fluids 23 (1980) 269-272.
28. L.D. Landau and E. Lifchitz, Statistical Physics (Pergamon Press, Oxford, 1989).
29. B. Jancovici, On the relativistic degenerate electron gas, Il Nuovo Cimento 25 (1962) 428-455.
30. R. Balescu, Relativistic statistical thermodynamics, Physica 40 (1968) 309-338.
31. J. Imbrie, Commun. Math. Phys. 87 (1983) 515.
32. T. Morita and K. Hiroike, Prog. Theor. Phys. Japan 25 (1961) 537.
33. C. De Dominicis, J. Math. Phys. 3 (1962) 983.
34. C. De Dominicis, J. Math. Phys. 4 (1963) 255.
35. G. Stell, in: The Equilibrium Theory of Classical Fluids, eds. H.L. Frisch and J.L. Lebowitz (Benjamin, New York, 1964).
36. A. Alastuey, F. Cornu and A. Perez, Virial expansions for quantum plasmas: diagrammatic resummations, Phys. Rev. E 49 (1994) 1077-1093.
37. F. Cornu, Correlations in quantum plasmas. I. Resummations in Mayer-like diagrammatic, Phys. Rev. E 53 (1996) 4562-4594.