Heat transfer in relativistic charged-fluid flow

Author:

Schmid L. A.

Publisher

Springer Science and Business Media LLC

Subject

General Medicine

Reference17 articles.

1. Surveys of relativistic fluid dynamics can be found in most relativity textbooks. Of the available brief surveys, probably the most relevant to the present work is the one given in Chap. XV ofFluid Mechanics byL. D. Landau andE. M. Lifshitz (Reading, Mass., 1959). More detailed discussions are given byA. Lichnerowicz:Théories Relativistes de la Gravitation et de l’Electromagnetisme (Paris, 1955), Chap. IV–VI, and byF. Halbwachs:Théorie Relativiste des Fluides à Spin (Paris, 1960), Chap. IV, Sect. 2, and Appendix B. The relativistic equations of fluid dynamics were first derived independently byG. Herglotz:Ann. d. Phys., (4),36, 493 (1911);

2. E. Lamla:Ann. d. Phys., (4),37 772 (1912). Lamla’s equations were less general in that they were limited to the case of isentropic flow, whereas this restriction was not imposed in Herglotz’s derivation. Subsequent research has been limited almost exclusively either to isentropic flow (e.g. I. M. Khalatnikov:Žurn. Ėksp. Teor. Fiz.,27, 529 (1954), a brief review of which is given inLandau andLifshitz cited above, andA. H. Taub:Phys. Rev.,103, 454 (1956)) or to the somewhat more general case of a barotropic fluid,i.e. one for which the pressure may be regarded as a function of the density alone (e.g. J. L. Synge:Proc. London Math. Soc., (2),43, 376 (1937), and the work ofLichnerowicz, which is summarized in his book cited above). The papers cited in footnotes (2,3) are not, however, restricted to either of these two special cases.

3. C. Eckart:Phys. Rev.,58, 919 (1940). This paper concentrates on the thermodynamical aspects of relativistic fluid dynamics. Of all the fluid dynamical references cited, it and Khalatnikov’s paper are the most relevant to the present work. Both of these papers, like the present work, are within the framework of special, rather than general, relativity.

4. G. Pichon:Ann. Inst. Poincaré, A2, 21 (1965). This work, like that ofSynge, Lichnerowicz andTaub cited in footnote (1), is within the framework of general relativity. Its relevance to the present work lies in the fact that it presents alternatives to the treatment of viscosity and heat conduction in a charged fluid that differ from the approach taken in the present work.

5. See, for example,L. Landau andE. Lifshitz (cited in footnote (1)), Chap. XV.

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