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Linearized potential of an ion moving through plasma

  • Thomas Peter (a1)
Abstract

The solution of the linearized Vlasov–Poisson equations describing a projectile ion moving through a classical isotropic electron plasma is investigated analytically and numerically for a wide range of projectile velocities vp Extending the range of earlier computations considerably, our calculations were performed for velocities up to vp = 15vth, showing the wake field behind the ion for distances 0 ≤ d ≤ 200λD, where vth is the thermal electron velocity and λD the Debye length of the plasma. As a new feature, we demonstrate that the amplitude of the wake field in the region vp/vthdD ≤/23(vp/vth)3 is almost undamped, and only for larger distances from the ion does it take the 1/d behaviour shown in other work. Thus the wake field of a single ion persists for much longer than previously thought. The question of whether this effect could have practical consequences, for example, for ion-beam cooling, is briefly addressed.

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Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
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