Weibel instability has been investigated in the presence of electron-ion collisions by using standard Vlasov-Maxwell equations. The presence of suprathermal electrons has been included here by using Kappa distribution for the particles. The growth rate γ of Weibel instability has been calculated for different values of spectral index κ, collision frequency , and temperature anisotropy parameter β. A comparative study between plasma obeying Kappa distribution and that obeying Maxwellian distribution shows that the growth of instability is higher for the Maxwellian particles. However, in the presence of collisions, the suprathermal particles result in lower damping of Weibel mode.
REFERENCES
1.
M.
Tatarakis
, I.
Watts
, F. N.
Beg
, E. L.
Clark
, A. E.
Dangor
, A.
Gopal
, M. G.
Haines
, P. A.
Norreys
, U.
Wagner
, M.-S.
Wei
, M.
Zepf
, and K.
Krushelnick
, Nature
415
, 280
(2002
).2.
E. S.
Weibel
, Phys. Rev. Lett.
2
, 83
(1959
).3.
A.
Achterberg
and J.
Wiersma
, Astron. Astrophys.
475
, 1
(2007
).4.
A. S.
Sandhu
, A. K.
Dharmadhikari
, P. P.
Rajeev
, G. R.
Kumar
, S.
Sengupta
, A.
Das
, and P. K.
Kaw
, Phys. Rev. Lett.
89
, 225002
(2002
).5.
L. O.
Silva
, R. A.
Fonseca
, J. W.
Tonge
, W. B.
Mori
, and J. M.
Dawson
, Phys. Plasmas
9
, 2458
(2002
).6.
T.
Okada
, K.
Ogawa
, and M.
Sugie
, J. Plasma Phys.
72
(6
), 925
–928
(2006
).7.
F.
Califano
, F.
Pegoraro
, S. V.
Bulanov
, and A.
Mangeney
, Phys. Rev. E
57
, 7048
(1998
).8.
C.
Deutsch
, A.
Bret
, M. C.
Firpo
, and P.
Fromy
, Phys. Rev. E
72
, 026402
(2005
).9.
A.
Karmakar
, N.
Kumar
, G.
Shvets
, O.
Polomarov
, and A.
Pukhov
, Phys. Rev. Lett.
101
, 255001
(2008
).10.
D.
Summers
and R. M.
Thorne
, Phys. Fluids B
3
(8
), 1835
(1991
).11.
G.
Gloeckler
, J.
Geiss
, H.
Balsiger
, P.
Bedini
, J. C.
Cain
, J.
Fischer
, L. A.
Fisk
, A. B.
Galvin
, F.
Gliem
, D. C.
Hamilton
, J. V.
Hollweg
, F. M.
Ipavich
, R.
Joos
, S.
Livi
, R.
Lundgren
, U.
Mall
, J. F.
McKenzie
, K. W.
Ogilvie
, F.
Ottens
, W.
Rieck
, E. O.
Tums
, R.
von Steiger
, W.
Weiss
, and B.
Wilken
, Astron. Astrophys., Suppl. Ser.
92
, 267
–289
(1992
).12.
M.
Maksimovic
, V.
Pierrard
, and J. F.
Lemaire
, Astron. Astrophys.
324
, 725
–734
(1997
).13.
S.
Zaheer
and G.
Murtaza
, Phys. Plasmas
14
, 022108
(2007
).14.
M.
Mahdavi
and H.
Khanzadeh
, Phys. Plasmas
20
, 052114
(2013
).© 2014 AIP Publishing LLC.
2014
AIP Publishing LLC
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