Solitary kinetic Alfvén waves in dusty plasmas

Yang-fang Li; Wu, D. J.; Morfill, G. E.
August 2008
Physics of Plasmas;Aug2008, Vol. 15 Issue 8, p083703
Academic Journal
Solitary kinetic Alfvén waves in dusty plasmas are studied by considering the dust charge variation. The effect of the dust charge-to-mass ratio on the soliton solution is discussed. The Sagdeev potential is derived analytically with constant dust charge and then calculated numerically by taking the dust charge variation into account. We show that the dust charge-to-mass ratio plays an important role in the soliton properties. The soliton solutions are comprised of two branches. One branch is sub-Alfvénic and the soliton velocity is obviously smaller than the Alfvén speed. The other branch is super-Alfvénic and the soliton velocity is very close to or greater than the Alfvén speed. Both compressive and rarefactive solitons can exist. For the sub-Alfvénic branch, the rarefactive soliton is bell-shaped and it is much narrower than the compressive one. However, for the super-Alfvénic branch, the compressive soliton is bell-shaped and narrower, and the rarefactive one is broadened. When the charge-to-mass ratio of the dust grains is sufficiently high, the width of the rarefactive soliton, in the super-Alfvénic branch, will broaden extremely and a electron depletion will be observed. It is also shown that the bell-shaped soliton can transition to a cusped structure when the velocity is sufficiently high.


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