No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Instability of current sheets and formation of plasmoid chains
5.C. J. Xiao X. G. Wang, Z. Y. Pu, H. Zhao, J. X. Wang, Z. W. Ma, S. Y. Fu, M. G. Kivelson, Z. X. Liu, Q. G. Zong, K. H. Glassmeier, A. Balogh, A. Korth, H. Reme, and C. P. Escoubet, Nat. Phys. 2, 478 (2006).
7.E. N. Parker, J. Geophys. Res. 62, 509 (1957).
8.P. A. Sweet, in Electromagnetic Phenomena in Cosmical Physics, edited by B. Lehnert (Cambridge University Press, Cambridge, 1958), p. 123.
9.H. E. Petscheck, in The Physics of Solar Flares, edited by W. N. Hess (NASA, Washington, D.C., 1964), pp. 425.
13.J. Lin, Y.-K. Ko, L. Sui, J. C. Raymond, G. A. Stenborg, Y. Jiang, S. Zhao, and S. Mancuso, Astrophys. J. 622, 1251 (2005).
19.K. Shibata and S. Tanuma, Earth, Planets Space 53, 473 (2001).
21.D. A. Uzdensky, Appl. Spectrosc. 292, 573 (2004).
23.S. V. Bulanov, S. I. Syrovatsky, and J. Sakai, JETP Lett. 28, 177 (1978).
26.B. Coppi, R. Galvão, M. N. Rosenbluth, and P. Rutherford, Sov. J. Plasma Phys. 2, 533 (1976).
30.R. Samtaney, S. C. Jardin, P. Colella, and D. F. Martin, in Adaptive Mesh Refinement—Theory and Applications, edited by T. Plewa, T. Linde, and V. Gregory (Springer, Berlin, 2005), p. 491.
31.Going to the next order in our outer solution results in an additional subdominant contribution to comparable to the second term in Eq. (15). Note that while the contribution of the second term in Eq. (13) to is negligible, the term itself cannot be dropped because it ensures that the solution has a finite value at . Note also that there exists an unstable solution that is entirely confined inside the current sheet, so that . For this solution, in Eq. (11) and to the lowest order in , is given just by the second term in Eq. (15). Solving Eq. (10) to the next order in , we find . The growth rate then is obtained from Eq. (18) in the limit . The result is , whence and . We will not consider this solution because it grows slower than the unconfined mode and its validity hinges on the numerical smallness of .
Article metrics loading...
Full text loading...
Most read this month