Abstract
A lower bound on Hartmann number for relaxed plasmas described by Taylor’s principle of minimum magnetic energy with fixed magnetic helicity is found analytically starting from first principles. Spontaneous filamentation occurs if the Hartmann number is below threshold. Comparison with both experiments and numerical computations is presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J.B. Taylor, Phys. Rev. Lett. 33, 1139 (1974)
A. Koenigl et al., Astrophys. J. 289, 173 (1985)
H.A.B. Bodin, Energy 29, 57 (1990)
J.T. Slough et al., Phys. Rev. Lett. 69, 2212 (1992)
B. Dasgupta et al., J. Plasma Phys. (2008), in press
R. Bhattacharya et al., J. Phys. 5–6, 947 (2000)
C. Zhang et al., in Proc. 18th IAEA FEC (Sorrento, Italy, 2000)
R. Farengo et al., in Proc. 18th IAEA FEC (Sorrento, Italy, 2000)
D. Montgomery et al., Phys. Rev. A 38, 2953 (1988)
A. Di Vita, M. Brusati, Plasma Phys. Control. Fus. 37, 1075 (1995)
M.Y. Kucinski, Plasma Phys. Control. Fusion 40, 111 (1998)
E.T. Jaynes, Ann. Rev. Phys. Chem. 31, 579 (1980)
J. Wesson, Tokamaks (Clarendon, 1987)
H. Froehlich, Proc. Phys. Soc. 87, 330 (1966)
D.F. Escande et al., in Proc. 18th IAEA FEC (Sorrento, Italy, 2000)
L.P.J. Kamp et al., J. Plasma Phys. 70, 113 (2004)
A. Di Vita, Eur. Phys. J. D 54, 451 (2009)
J.B. Taylor, Nature 299, 681 (1982)
A. Di Vita, Proc. Roy Soc. A 458, 21 (2002)
L. Turner, IEEE Trans. Plasma Sci. 14, 849 (1986)
S.I. Braginskij, Transport Processes in a Plasma, Review Plasma Physics (Leontovich, Consultants Bureau, New York, 1965)
A.H. Boozer, J. Plasma Phys. 35, 133 (1986)
J.D. Huba et al., Revised NRL Plasma Formulary (The Office of Naval Research, 2004)
A. Bernard et al., J. Moscow Phys. Soc. 8, 93 (1998)
V. Antoni et al., Nucl. Fusion 29, 1759 (1989)
P. Glansdorff et al., Physica 30, 351 (1964)
A. Di Vita, J. Plasma Phys. 50, 1 (1993)
E.V. Belova et al., 29th EPS Conf. Plasma Phys. Control. Fusion, Montreux ECA B 26, 2.112 (2002)
Y. Ono, Nucl. Fusion 39, 2001 (1999)
J. Freydberg, Ideal MHD (Academic, 1982)
W. Gekelmann, J. Geophys. Res. 104, 417 (1999)
H. Herold et al., Nucl. Fus. 29, 1255 (1989)
V.A. Gribkov et al., ICPP & 25th EPS Conf. Control. Fusion Plasma Phys., Praha, June 29–July 3, ECA Vol. 22C, 2272 (1998)
L. Jakubowski et al., Braz. J. Phys. 32, 1871 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Di Vita, A. A lower bound on Hartmann number for relaxed plasmas described by Taylor’s principle. Eur. Phys. J. D 56, 205–208 (2010). https://doi.org/10.1140/epjd/e2009-00294-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2009-00294-2