NUKLEONIKA 2012, 57(2):317-319
## VLASOV PLASMA DESCRIPTION OF PAIR PLASMAS WITH DUST OR ION IMPURITIES
**Barbara Atamaniuk**^{1}, **Andrzej J. Turski**^{2}
^{1} *Space Research Center PAS, 18A Bartycka Str., 00-716 Warsaw, Poland *
^{2} *Institute of Fundamental Technological Research PAS, * 5B Pawińskiego Str., 02-106 Warsaw, Poland
The paper contains a unified treatment of disturbance propagation (transport) in the linearized Vlasov electron-positron and fullerene pair plasmas containing charged dust impurities, based on the space-time convolution integral equations. An initial-value problem for Vlasov-Poisson/Ampere equations is reduced to the one multiple integral equation and the solution is expressed in terms of forcing function and its space-time convolution with the resolvent kernel. The forcing function is responsible for the initial disturbance and the resolvent is responsible for the equilibrium velocity distributions of plasma species. By use of resolvent equations, time-reversibility, space-reflexivity and the other symmetries are revealed. The symmetries carry on physical properties of Vlasov pair plasmas, e.g., conservation laws. Properly choosing equilibrium distributions for dusty pair plasmas, we can reduce the resolvent equation to: (i) the undamped dispersive wave equations, (ii) wave-diffusive transport equation, and (iii) diffusive transport equations of oscillations. In the last case, we have to do with anomalous diffusion employing fractional derivatives in time and space.
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