Vlasov plasma description of pair plasmas with dust or ion impurities

• Autorzy: Atamaniuk B. , Turski A. J.
• Konferencja: International Conference on Research and Applications of Plasmas, Plasma-2011, 12-16 September 2011, Warsaw, Poland
• Języki publikacji: EN

Abstrakty

EN

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/Ampčre 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.

Słowa kluczowe

EN

pair plasmas; fractional diffusion; Vlasov plasmas

• Wydawca: Institute of Nuclear Chemistry and Technology
• Czasopismo: Nukleonika
• Rocznik: 2012
• Tom: Vol. 57, No. 2
• Strony: 317--319
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Atamaniuk B.

autor

Turski A. J.

• Space Research Center PAS, 18A Bartycka Str., 00-716 Warsaw, Poland

Bibliografia

• 1. Atamaniuk B, Turski AJ (2009) Wave propagation and diffusive transition of oscillations in space and laboratory pair plasmas. Biuletyn WAT 58;4:91–100
• 2. Lipunov VM (2006) Astrophysics of neutron stars. Fizmatlit, Moscow (in Russian)
• 3. Samorodnitski G, Taqqu MS (1994) Stable non-Gaussian random processes. Chapman & Hall, New York–London
• 4. Turski AJ (1968) An integral equation of convolution type. SIAM Review 10;1:108–109
• 5. Turski AJ (1969) Diffusive transition of oscillations in unbounded plasmas. Il Nuovo Cimento Serie X 63B:115–131
• 6. Turski AJ, Atamaniuk B, Turska E (2010) Application of fractional derivative operators to anomalous diffusion and propagation problems. ArXiv: Math-ph/0701068
• 7. Turski AJ, Wójcik J (1996) Integral equations for disturbance propagation in linearized Vlasov plasmas. Arch Mech 48:1047–1067