The Library

Weak Alfvén-wave turbulence revisited

Tools

Schekochihin, Alexander A., 1973-, Nazarenko, Sergey and Yousef, Tarek. (2012) Weak Alfvén-wave turbulence revisited. Physical Review E, Vol.85 (No.3). 036406. ISSN 1539-3755

[img]
Preview
 Text
WRAP_Nazarenko_1110.6682.pdf - Accepted Version
Download (401Kb) | Preview

Abstract

Weak Alfvénic turbulence in a periodic domain is considered as a mixed state of Alfvén waves interacting with the two-dimensional (2D) condensate. Unlike in standard treatments, no spectral continuity between the two is assumed, and, indeed, none is found. If the 2D modes are not directly forced, k−2 and k−1 spectra are found for the Alfvén waves and the 2D modes, respectively, with the latter less energetic than the former. The wave number at which their energies become comparable marks the transition to strong turbulence. For imbalanced energy injection, the spectra are similar, and the Elsasser ratio scales as the ratio of the energy fluxes in the counterpropagating Alfvén waves. If the 2D modes are forced, a 2D inverse cascade dominates the dynamics at the largest scales, but at small enough scales, the same weak and then strong regimes as described above are achieved.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Magnetohydrodynamic waves -- Mathematical models, Turbulence -- Mathematical models
Journal or Publication Title: Physical Review E
Publisher: American Physical Society
ISSN: 1539-3755
Volume: Vol.85
Number: No.3
Page Range: 036406
Identification Number: 10.1103/PhysRevE.85.036406
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Science and Technology Facilities Council (Great Britain) (STFC), Leverhulme Trust (LT)
References:

[1] R. H. Kraichnan, Phys. Fluids 8, 1385 (1968).
[2] A. A. Schekochihin et al., Astrophys. J. Suppl. 182, 310
(2009).
[3] D. Montgomery and L. Turner, Phys. Fluids 24, 825
(1981).
[4] P. Goldreich and S. Sridhar, Astrophys. J. 438, 763
(1995).
[5] P. Goldreich and S. Sridhar, Astrophys. J. 485, 680
(1997).
[6] J. V. Shebalin et al., J. Plasma Phys. 29, 525 (1983).
[7] J. Cho and E. T. Vishniac, Astrophys. J. 539, 273 (2000).
[8] J. Maron and P. Goldreich, Astrophys. J. 554, 1175
(2001).
[9] W.-C. M¨uller et al., Phys. Rev. E 67, 066302 (2003).
[10] J. W. Bieber et al., J. Geophys. Res. 101, 2511 (1996).
[11] A. Bigazzi et al., Astrophys. J. 638, 499 (2006).
[12] L. Sorriso-Valvo et al., Europhys. Lett. 75, 832 (2006).
[13] T. S. Horbury et al., Phys. Rev. Lett. 101, 175005 (2008).
[14] R. T. Wicks et al., Mon. Not. R. Astron. Soc. 407, L31
(2010).
[15] C. H. K. Chen et al., Mon. Not. R. Astron. Soc. 415,
3219 (2011).
[16] S. Galtier et al., J. Plasma Phys. 63, 447 (2000).
[17] Y. Lithwick and P. Goldreich, Astrophys. J. 582, 1220
(2003).
[18] S. V. Nazarenko and A. A. Schekochihin, J. Fluid Mech.
677, 134 (2011).
[19] S. Nazarenko, New J. Phys. 9, 307 (2007).
[20] S. Boldyrev and J. C. Perez, Phys. Rev. Lett. 103,
225001 (2009).
[21] Y. Wang et al., e-print arXiv:1106.2238 (2011).
[22] A. Alexakis, e-print arXiv:1109.2039 (2011).
[23] D. Montgomery and W. Matthaeus, Astrophys. J. 447,
706 (1995).
[24] C. S. Ng and A. Bhattacharjee, Astrophys. J. 465, 845
(1996).
[25] J. C. Perez and S. Boldyrev, Astrophys. J. 672, L61
(2008).
[26] B. B. Kadomtsev and O. P. Pogutse, Sov. Phys. JETP
38, 283 (1974).
[27] H. R. Strauss, Phys. Fluids 19, 134 (1976).
[28] D. C. Montgomery, Phys. Scripta T2/1 (1982).
[29] A. Beresnyak, Phys. Rev. Lett. 106, 075001 (2011).
[30] S. Boldyrev, Phys. Rev. Lett. 96, 115002 (2006).
[31] C. Tu et al., Geophys. Res. Lett. 17, 283 (1990).
[32] E. A. Lucek and A. Balogh, Astrophys. J. 507, 984
(1998).
[33] J. C. Perez and S. Boldyrev, Phys. Rev. Lett. 102,
025003 (2009).
[34] B. D. G. Chandran, Astrophys. J. 685, 646 (2008).
[35] A. Beresnyak and A. Lazarian, Astrophys. J. 682, 1070
(2008).
[36] A. Mallet et al., in preparation (2011).
[37] Y. Lithwick et al., Astrophys. J. 655, 269 (2007).
[38] J. J. Podesta and A. Bhattacharjee, Astrophys. J. 718,
1151 (2010).
[39] D. Biskamp and U. Bremer, Phys. Rev. Lett. 72, 3819
(1993).
[40] D. Biskamp and H.Welter, Phys. Fluids B 1, 1964 (1989).
[41] D. Biskamp and E. Schwarz, Phys. Plasmas 8, 3282
(2001).
[42] C. S. Ng et al., Phys. Plasmas 10, 1954 (2003).
URI: http://wrap.warwick.ac.uk/id/eprint/48788

Request changes to a record

Actions (login required)

View Item View Item

Document Downloads

More statistics for this item...