Abstract
Recently, a unique collision between two large-scale magnetized plasmoids produced by coronal mass ejections in the heliosphere has been observed [C. Shen et al., Nat. Phys. 8, 923 (2012)]. Results suggest that the collision is super-elastic, i.e. the total linear kinetic energy of the two plasmoids after the collision is larger than before the collision, and that an anti-correlation exists, i.e. the lower the initial relative velocity of the plasmoids, the larger the relative increase in total kinetic energy. Following an old suggestion of Bostick [IEEE Trans. Plasma Sci. PS-14, 703 (1986)], here we start from first principles, retrieve some results of Ohsaki et al. [Astrophys. J. Lett. 559, L61 (2001)] and Kagan et al. [Mon. Not. R. Astron. Soc. 406, 1140 (2010)] and show that the anti-correlation is just a consequence of the properties of Joule and viscous dissipation inside the plasmoids. On the other end, if the initial relative velocity of the plasmoids is greater than the Alfvèn velocity times the global reconnection rate, then the plasmoids merge.
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C. Shen, Y. Wang, S. Wang, Y. Liu, R. Liu, A. Vourildas, B. Miao, P. Ye, J. Liu, Zh. Zhou, Nat. Phys. 8, 923 (2012)
P.J. Cargill, G.W. Pneuman, Astrophys. J. 307, 820 (1986)
W. Mishra, N. Srivastava, T. Singh, J. Geophys. Res. 120, 10221 (2015)
W.H. Bostick, Phys. Rev. 104, 292 (1956)
A. Di Vita, Eur. Phys. J. D 54, 451 (2009)
M.Y. Louge, M.E. Adams, Phys. Rev. E 65, 021303 (2002)
F. Shen, Y. Wang, C. Shen, X. Feng, Sci. Rep. 6, 19576 (2016)
W.H. Bostick, IEEE Trans. Plasma Sci. PS-14, 703 (1986)
A. Di Vita, Eur. Phys. J. D 56, 205 (2010)
E.A. Witalis, IEEE Trans. Plasma Sci. PS-14, 842 (1986)
L. Jian, C.T. Russell, J.G. Luhmann, R.M. Skoug, Sol. Phys. 239, 393 (2006)
Y.F. Zhou, X.S. Feng, S.T. Wu, D. Du, F. Shen, C.Q. Yiang, J. Geophys. Res. 117, A01102 (2012)
F. Sheng, C. Shen, Y. Wang, X. Feng, C. Xiang, Geophys. Res. Lett. 40, 1457 (2013)
Y. Wang, Z. Zhou, C. Shen, R. Liu, S. Wang, J. Geophys. Res. 120, 1543 (2015)
S.I. Braginskii, Transport processes in a plasma, in Reviews of plasma physics (Consultants Bureau, New York, 1965), Vol. 1, p. 205
H. Lamb, Hydrodynamics (Cambridge University Press, Cambridge, 1916)
S.R. DeGroot, P. Mazur, Non-equilibrium thermodynamics (Dover, New York, 1962)
A.H. Boozer, J. Plasma Phys. 35, 133 (1986)
M.G. Haines, P.D. LePell, C.A. Coverdale, B. Jones, C. Deeney, J.P. Apruzese, Phys. Rev. Lett. 96, 075003 (2006)
J. Birn, M. Hesse, K. Schindler, J. Geophys. Res. 94, 241 (1989)
F. Herrmann, Eur. J. Phys. 7, 130 (1986)
E.T. Jaynes, Annu. Rev. Phys. Chem. 31, 579 (1980)
L.D. Landau, E. Lifshitz, Electrodynamics of continuous media (Pergamon, Oxford, 1960)
I.V. Elsgolts, Differential equations and variational calculus (Mir, Paris, 1981)
A. Di Vita, Phys. Rev. E 81, 041137 (2010)
D. Kagan, S.M. Mahajan, Mon. Not. R. Astron. Soc. 406, 1140 (2010)
S. Ohsaki, N.L. Shatashvili, Z. Yoshida, Astrophys. J. Lett. 559, L61 (2001)
L. Turner, IEEE Trans. Plasma Sci. PS-14, 849 (1986)
S.K.H. Auluck, Phys. Plasmas 16, 122504 (2009)
S.K.H. Auluck, Phys. Plasmas 18, 032508 (2011)
A. Di Vita, Eur. Phys. J. D 67, 191 (2013)
J.B. Taylor, Phys. Rev. Lett. 33, 1139 (1974)
Z. Yoshida, S.M. Mahajan, Phys. Rev. Lett. 88, 095001 (2002)
H.A.B.Bodin, A.A. Newton, Nucl. Fusion 20, 1255 (1980)
P.M. Bellan, Spheromaks (Imperial College Press, London, 2000)
B.C. Low, Phys. Plasmas 1, 1684 (1994)
A. Koenigl, A.R. Choudhuri, Astrophys. J. 289, 173 (1985)
R.L. Stenzel, J.M. Urrutia, C.L. Rousculp, Phys. Rev. Lett. 74, 702 (1995)
E.A. Witalis, Magnetised whirls in PF discharges, in Energy storage, compression and switching, edited by V. Nardi, H. Sahlin, W.H. Bostick (Plenum, New York, 1978)
D. Shaikh, B. Dasgupta, G.P. Zank, Q. Hu, Phys. Plasmas 15, 012306 (2008)
B. Dasgupta, P. Dasgupta, J.S. Mylavarapu, T. Watanabe, T. Sato, J. Plasma Fusion Res. Ser. 2, 516 (1999)
T. Amari, A. Canou, J.J. Aly, Nature 514, 465 (2014)
D.F. Escande, S. Cappello, F. D’Angelo, C. Marchetto, P. Paccagnella, D. Benisti, The reversed field pinch as a magnetically quiet and non-chaotic configuration, in Proc. XVIII IAEA Fusion Energy Conference, Sorrento, Italy, 4–10 October 2000 (2000)
H.A.B. Bodin, Energy 29, 57 (1990)
H. Herold, A. Jerzykiewicz, M. Sadowski, H. Schmidt, Nucl. Fusion 29, 1255 (1989)
A. Bernard, H. Bruzzone, P. Choi, H. Chuaqui, V. Gribkov, J. Herrera, K. Hirano, A. Krejcì, S. Lee, C. Luo, F. Mezzetti, M. Sadowski, H. Schmidt, K. Ware, C.S. Wong, W. Zoita, J. Mosc. Phys. Soc. 8, 93 (1998)
L. Soto, Plasma Phys. Control. Fusion 47, A361 (2005)
L. Soto, C. Pavez, F. Castillo, F. Veloso, J. Moreno, S.K.H. Auluck, Phys. Plasmas 21, 072702 (2014)
L. Jakubowski, M.J. Sadowski, Braz. J. Phys. 32, 1871 (2002)
H. Alfvèn, Cosmical electrodynamics (Clarendon Press, Oxford, 1950)
J.W. Connor, J.B. Taylor, Nucl. Fusion 17, 1047 (1977)
Y. Ono, Nucl. Fusion 39, 2001 (1999)
S.M. Mahajan, Z. Yoshida, Phys. Rev. Lett. 81, 4863 (1998)
K. Miyamoto, Plasma physics and controlled nuclearfusion (Springer, Berlin, 2005)
H. Karimabadi, J. Dorelli, V. Roytershteyn, W. Daughton, L. Chacon, Phys. Rev. Lett. 107, 025002 (2011)
T. Tajima, J. Sakai, H. Nakajima, T. Kosugi, F. Brunel, M.R. Kundu, Astrophys. J. 321, 1031 (1987)
M. Karlicky, M. Barta, Astrophys. J. 733, 107 (2011)
P. Jelinek, M. Karlicky, T. Van Doorsselaere, M. Barta, arXiv:1703.06674v2 (2017)
R. Milligan, R.T. James McAteer, B.R. Dennis, C.A. Young, Astrophys. J. 713, 1292 (2010)
A. Singh, V. Magnanimo, S. Luding, arXiv:1503.03720v1 (2015)
A. Stanier, W. Daughton, L. Chacon, H. Karimabadi, J. Ng, Y.M. Huang, A. Hakim, A. Bhattacharjee, Phys. Rev. Lett. 115, 175004 (2015)
J. Ng, Y.M. Huang, A. Hakim, A. Bhattacharjee, A. Stanier, W. Daughton, L. Wang, K. Germaschewski, Phys. Plasmas 22, 112104 (2015)
P.A. Cassak, Y.H. Liu, M.A. Shay, arXiv:1708.03449v1 (2017)
L. Comisso, A. Bhattacharjee, J. Plasma Phys. 82, 595820601 (2016)
Y.H. Liu, M. Hesse, F. Guo, W. Daughton, H. Li, P.A. Cassak, M.A. Shay, Phys. Rev. Lett. 118, 085101 (2017)
M. Temmer, A.M. Veronig, V. Peinhart, Astrophys. J. 785, 85 (2014)
M. Hesse, T.G. Forbes, J. Birn, Astrophys. J. 631, 1227 (2005)
R. Bhattacharyya, M.S. Janaki, B. Dasgupta, Phys. Lett. A 315, 120 (2003)
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Di Vita, A. On super-elastic collisions between magnetized plasmoids in the heliosphere. Eur. Phys. J. D 72, 7 (2018). https://doi.org/10.1140/epjd/e2017-80365-5
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DOI: https://doi.org/10.1140/epjd/e2017-80365-5