Renormalized plasma turbulence theory: A quasiparticle picture
Abstract
A general renormalized statistical theory of Vlasov turbulence is given which proceeds directly from the Vlasov equation and does not assume prior knowledge of sophisticated fieldtheoretic techniques. Quasiparticles are the linear excitations of the turbulent system away from its instantaneous mean (ensembleaveraged) state or background; the properties of this background state "dress" or renormalize the quasiparticle responses. It is shown that all twopoint responses (including the dielectric) and all twopoint correlation functions can be completely described by the mean distribution function and three fundamental quantities. Two of these are the quasiparticle responsesthe propagator and the potential sourcewhich measure, respectively, the separate responses of the mean distribution function and the mean electrostatic potential to functional changes in an external phasespace source added to Vlasov's equation. The third quantity is the twopoint correlation function of the incoherent part of the phasespace density which acts as a selfconsistent source of quasiparticle and potential fluctuations. This theory explicitly takes into account the selfconsistent nature of the electrostaticfield fluctuations which introduces new effects not found in the usual "testparticle" theories. Explicit equations for the fundamental quantities are derived in the direct interaction approximation. Special attention is paid to the twopoint correlations and the relation to theories of phasespace granulation.
 Publication:

Physical Review A
 Pub Date:
 February 1981
 DOI:
 10.1103/PhysRevA.23.865
 Bibcode:
 1981PhRvA..23..865D