Magnetic reconnection and stochastic plasmoid chains in high-Lundquist-number plasmas

Physics of Plasmas

Volumn 19, Issue 4, 2012, Pages

  Loureiro, N F ^a   Samtaney, R ^b   Schekochihin, A A ^c   Uzdensky, D A ^d  

^a UNIVERSITY OF LISBON   (Portugal)

^b KING ABDULLAH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Saudi Arabia)

^c UNIVERSITY OF OXFORD   (United Kingdom)

^d UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISRUPTIVE EVENT; HALF-WIDTH; JOINT DISTRIBUTIONS; MAGNETIC RECONNECTIONS; NUMERICAL STUDIES; PLASMOIDS; RECONNECTION RATE; SYSTEM SIZE; THEORETICAL MODELS;

COALESCENCE; UNCERTAINTY ANALYSIS;

MAGNETOPLASMA;

EID: 84860445943     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3703318     Document Type: Article

References (27)

1. N. F. Loureiro, A. A. Schekochihin, and S. C. Cowley, Instability of current sheets and formation of plasmoid chains., Phys. Plasmas 14, 100703 (2007). 10.1063/1.2783986 (Pubitemid 350097967)
2. G. Lapenta, Self-feeding turbulent magnetic reconnection on macroscopic scales., Phys. Rev. Lett. 100, 235001 (2008). 10.1103/PhysRevLett.100.235001
3. W. Daughton, V. Roytershteyn, B. J. Albright, H. Karimabadi, L. Yin, and K. J. Bowers, Transition from collisional to kinetic regimes in large-scale reconnection layers., Phys. Rev. Lett. 103, 065004 (2009). 10.1103/PhysRevLett. 103.065004
4. N. F. Loureiro, D. A. Uzdensky, A. A. Schekochihin, S. C. Cowley, and T. A. Yousef, Turbulent magnetic reconnection in two dimensions., Mon. Not. R. Astron. Soc. 399, L146 (2009). 10.1111/j.1745-3933.2009.00742.x
5. R. Samtaney, N. F. Loureiro, D. A. Uzdensky, A. A. Schekochihin, and S. C. Cowley, Formation of plasmoid chains in magnetic reconnection., Phys. Rev. Lett. 103, 105004 (2009). 10.1103/PhysRevLett.103.105004
6. A. Bhattacharjee, Y.-M. Huang, H. Yang, and B. Rogers, Fast reconnection in high-Lundquist-number plasmas due to the plasmoid instability., Phys. Plasmas 16, 112102 (2009). 10.1063/1.3264103
7. P. A. Cassak, M. A. Shay, and J. F. Drake, Scaling of Sweet-Parker reconnection with secondary islands., Phys. Plasmas 16, 120702 (2009). 10.1063/1.3274462
8. Y.-M. Huang and A. Bhattacharjee, Scaling laws of resistive magnetohydrodynamic reconnection in the high-Lundquist-number, plasmoid-unstable regime., Phys. Plasmas 17, 062104 (2010). 10.1063/1.3420208
9. D. Biskamp, Magnetic reconnection via current sheets., Phys. Fluids 29, 1520 (1986). 10.1063/1.865670
10. N. F. Loureiro, S. C. Cowley, W. D. Dorland, M. G. Haines, and A. A. Schekochihin, X-point collapse and saturation in the nonlinear tearing mode reconnection., Phys. Rev. Lett. 95, 235003 (2005). 10.1103/PhysRevLett.95.235003 (Pubitemid 41776908)
11. P. A. Sweet, The neutral point theory of solar flares., in Electromagnetic Phenomena in Cosmical Physics, IAU Symposium, edited by, B. Lehnert, (1958), Vol. 6, p. 123.
12. E. N. Parker, Sweet's mechanism for merging magnetic fields in conducting fluids., J. Geophys. Res. 62, 509, doi: 10.1029/JZ062i004p00509 (1957).
13. D. A. Uzdensky, N. F. Loureiro, and A. A. Schekochihin, Fast magnetic reconnection in the plasmoid-dominated regime., Phys. Rev. Lett. 105, 235002 (2010). 10.1103/PhysRevLett.105.235002
14. K. Shibata and S. Tanuma, Plasmoid-induced-reconnection and fractal reconnection., Earth, Planets Space 53, 473 (2001).
15. R. L. Fermo, J. F. Drake, and M. Swisdak, A statistical model of magnetic islands in a current layer., Phys. Plasmas 17, 010702 (2010). 10.1063/1.3286437
16. N. Nishizuka, A. Asai, H. Takasaki, H. Kurokawa, and K. Shibata, The power-law distribution of flare kernels and fractal current sheets in a solar flare., Astrophys. J. Lett. 694, L74 (2009). 10.1088/0004-637X/694/1/L74
17. J. Lin, Y.-K. Ko, L. Sui, J. C. Raymond, G. A. Stenborg, Y. Jiang, S. Zhao, and S. Mancuso, Direct observations of the magnetic reconnection site of an eruption on 2003 November 18., Astrophys. J. 622, 1251 (2005). 10.1086/428110 (Pubitemid 40758440)
18. H. K. Park, N. C. Luhmann, Jr., A. J. H. Donn, I. G. J. Classen, C. W. Domier, E. Mazzucato, T. Munsat, M. J. van de Pol, and Z. Xia, Observation of high-field-side crash and heat transfer during sawtooth oscillation in magnetically confined plasmas., Phys. Rev. Lett. 96, 195003 (2006). 10.1103/PhysRevLett.96.195003 (Pubitemid 43764043)
19. Even in this case, the box is still much wider (in x) than the thickness of the SP layer, S P / L ∼ S-1 / 2 ∼ 3 10-4, and much longer (in y) than L c / L ∼ S c / S ∼ 10-3.
20. When a typical plasmoid is ejected from its host layer into a bigger plasmoid, it is long and thin: w x ∼ w y E eff (Ref. 13). However, immediately upon ejection, it is squashed against the bigger plasmoid and becomes circularized (w x ∼ w y), while preserving its flux and area. Thus, just before it starts coalescing with the bigger plasmoid, its width jumps up by a factor of E eff-1 / 2 ∼ 10, and its magnetic field becomes B 0 E eff 1 / 2 to preserve flux. This immediately moves the plasmoid vertically upwards by a factor E eff-1 / 2 from the ULS diagonal. Our arguments can be modified to account for this effect-the result is to raise the threshold (2) upwards by a factor of order unity.
21. M. Brta, J. Bchner, M. Karlick, and J. Skla, Spontaneous current-layer fragmentation and cascading reconnection in solar flares. I. Model and analysis., Astrophys. J. 737, 24 (2011). 10.1088/0004-637X/737/1/24
22. M. Karlick and B. Kliem, Reconnection of a kinking flux rope triggering the ejection of a microwave and hard x-ray source i. observations and interpretation., Sol. Phys. 266, 71 (2010). 10.1007/s11207-010-9606-4
23. W. Daughton, V. Roytershteyn, H. Karimabadi, L. Yin, B. J. Albright, B. Bergen, and K. J. Bowers, Role of electron physics in the development of turbulent magnetic reconnection in collisionless plasmas., Nat. Phys. 7, 539 (2011). 10.1038/nphys1965
24. H. Karimabadi, J. Dorelli, V. Roytershteyn, W. Daughton, and L. Chacn, Flux pileup in collisionless magnetic reconnection: Bursty interaction of large flux ropes., Phys. Rev. Lett. 107, 025002 (2011). 10.1103/PhysRevLett.107.025002
25. W. H. Matthaeus and S. L. Lamkin, Turbulent magnetic reconnection., Phys. Fluids 29, 2513 (1986). 10.1063/1.866004
26. A. Lazarian and E. T. Vishniac, Reconnection in a weakly stochastic field., Astrophys. J. 517, 700 (1999). 10.1086/307233
27. G. Lapenta and L. Bettarini, Spontaneous transition to a fast 3D turbulent reconnection regime., Europhys. Lett. 93, 65001 (2011). 10.1209/0295-5075/93/65001