Relativistic expansion of a magnetized fluid

Geophysical and Astrophysical Fluid Dynamics

Volumn 104, Issue 4, 2010, Pages 431-450

  Gourgouliatos, K N ^a,b   Vlahakis, N ^c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b PURDUE UNIVERSITY   (United States)

^c UNIVERSITY OF ATHENS   (Greece)

Author keywords

Analytical; Magnetic fields; MHD

Indexed keywords

ANALYTICAL; EXPANSION VELOCITY; MAXIMUM VELOCITY; MHD EQUATIONS; POLOIDAL MAGNETIC FIELD; SELF-CONSISTENT SOLUTION; SEMI-ANALYTICAL; SPEED OF LIGHT; TIME-DEPENDENT SOLUTIONS; UNIFORM EXPANSION;

ELECTROMAGNETIC FIELDS; EXPANSION; MAGNETIC FIELDS; MAGNETIC FLUX; MAGNETIC MATERIALS; SPHERES;

FLUIDS;

ELECTROMAGNETIC FIELD; FLUID FLOW; MAGNETIC FIELD; MAGNETOHYDRODYNAMICS; MODELING;

EID: 77954393433     PISSN: 03091929     EISSN: 10290419     Source Type: Journal    
DOI: 10.1080/03091920903585894     Document Type: Article

References (28)

1. Blandford, R.D. and Payne, D.G., Hydromagnetic flows from accretion discs and the production of radio jets. Mon. Not. R. Astron. Soc. 1982, 199, 883-903.
2. Chiueh, T., Li, Z. and Begelman, M.C., Asymptotic structure of hydromagnetically driven relativistic winds. Astrophys. J. 1991, 377, 462-466.
3. Contopoulos, J., Magnetically driven relativistic jets and winds: exact solutions. Astrophys. J. 1994, 432, 508-517.
4. Contopoulos, J., Force-free self-similar magnetically driven relativistic jets. Astrophys. J. 1995, 446, 67-74.
5. Contopoulos, I., Christodoulou, D.M., Kazanas, D. and Gabuzda, D.C., The invariant twist of magnetic fields in the relativistic jets of active galactic nuclei. Astrophys. J. Lett. 2009, 702, L148-L152.
6. De Villiers, J., Hawley, J.F., Krolik, J.H. and Hirose, S., Magnetically driven accretion in the Kerr metric: III. unbound outflows. Astrophys. J. 2005, 620, 878-888.
7. Fendt, C., Collimated jet magnetospheres around rotating black holes. General relativistic force-free 2D equilibrium. Astron. Astrophys. 1997, 319, 1025-1035.
8. Fendt, C. and Greiner, J., Magnetically driven superluminal motion from rotating black holes. Solution of the magnetic wind equation in Kerr metric. Astron. Astrophys. 2001, 369, 308-322.
9. Gourgouliatos, K.N., Relativistically expanding cylindrical electromagnetic fields. Mon. Not. R. Astron. Soc. 2009,396,2399-2404.
10. Gourgouliatos, K.N. and Lynden-Bell, D., Fields from a relativistic magnetic explosion. Mon. Not. R. Astron. Soc. 2008, 391, 268-282.
11. Grad, H. and Rubin, H., Hydromagnetic equilibria and force-free fields. In Proceedings of the Second United Nations International Conference on the Peaceful Uses of Atomic Energy, Geneva, Vol. 31, 1958, pp. 190-197.
12. Heyvaerts, J. and Norman, C., Global asymptotic solutions for relativistic magnetohydrodynamic jets and winds. Astrophys. J. 2003, 596, 1240-1255.
13. Li, Z., Chiueh, T. and Begelman, M.C., Electromagnetically driven relativistic jets - a class of self-similar solutions. Astrophys. J. 1992, 394, 459-471.
14. Low, B.C., Self-similar magnetohydrodynamics: I - the gamma = 4/3 polytrope and the coronal transient. Astrophys. J. 1982, 254, 796-805.
15. Lynden-Bell, D. and Boily, C., Self-similar solutions up to flashpoint in highly wound magnetostatics. Mon. Not. R. Astron. Soc. 1994, 267, 146-152.
16. Meliani, Z., Sauty, C., Vlahakis, N., Tsinganos, K. and Trussoni, E., Nonradial and nonpolytropic astrophysical outfows: VIII. A GRMHD generalization for relativistic jets. Astron. Astrophys. 2006, 447, 797-812.
17. Mobarry, C.M. and Lovelace, R.V.E., Magnetohydrodynamic flows in Schwarzschild geometry. Astrophys. J. 1986, 309, 455-466.
18. Prendergast, K.H., Relativistically expanding axisymmetric self-similar force-free fields. Mon. Not. R. Astron. Soc. 2005, 359, 725-728.
19. Sauty, C. and Tsinganos, K., Nonradial and nonpolytropic astrophysical outflows: III. A criterion for the transition from jets to winds. Astron. Astrophys. 1994, 287, 893-926.
20. Sedov, C.I., Propagation of strong shock waves. J. Appl. Math. Mech. 1946, 10, 241-259.
21. Shafranov, V.D., On magnetohydrodynamical equilibrium configurations. Sov. J. Exp. Theor. Phys. 1958, 6, 545-554.
22. Shafranov, V.D., Plasma equilibrium in a magnetic field. Rev. Plasma Phys. 1966, 2, 103-151.
23. Takahashi, H.R., Asano, E. and Matsumoto, R., Relativistic expansion of magnetic loops at the self-similar stage. Mon. Not. R. Astron. Soc. 2009, 394, 547-568.
24. Taylor, G., The formation of a blast wave by a very intense explosion: I. theoretical discussion. Proc. R. Soc. Lond. Ser. A 1950, 201, 159-174.
25. Tsui, K.H. and Serbeto, A., Time-dependent magnetohydrodynamic self-similar extragalactic jets. Astrophys. J. 2007, 658, 794-803.
26. Vlahakis, N. and Konigl, A., Relativistic magnetohydrodynamics with application to gamma-ray burst outflows: I. theory and semianalytic trans-Alfvenic solutions. Astrophys. J. 2003, 596, 1080-1103.
27. Vlahakis, N. and Tsinganos, K., On the topological stability of astrophysical jets. Mon. Not. R. Astron. Soc. 1997,292,591-600.
28. Vlahakis, N. and Tsinganos, K., Systematic construction of exact magnetohydrodynamic models for astrophysical winds and jets. Mon. Not. R. Astron. Soc. 1998, 298, 777-789.