A pseudopotential model of intergrain interaction in dusty plasmas is proposed to take into account both the electrostatic polarization and the screening phenomena. The derivation is entirely based on the renormalization theory of plasma particles interaction developed previously. Dust particles are assumed to be conductive such that the polarization phenomenon can strictly be treated in the charge-image approximation. Such an assumption imposes no restraint on generality of the present consideration because the polarization effects are essential for accurate description of intergrain interaction potential. The pseudopotential model is then used in the hypernetted chain approximation (HNC) for the dust component to obtain the radial distribution function which reveals the non-monotonic behavior at sufficiently large values of the dust coupling parameter. This can be viewed upon as a short-or even long-range order formation in the dust component of the plasma.
The dense plasma dynamic collision frequency is modeled by the first two terms of its asymptotic expansion at high frequencies and its values at a few interpolation points on the real axis. This makes the dynamic collision frequency a non-rational function whose extension onto the upper half-plane of the complex frequency is holomorphic with a non-negative imaginary part and with a continuous extension to the real axis. The validity of the suggested analytic form of the latter is tested against the simulation data, where the Kelbg effective potential was used.1 The problem set-up Dynamic collision frequencyOne of the problems of modern plasma physics is to obtain an analytic expression for the dielectric function determining the screening effects, the dispersion relations and other dynamic characteristics, as the conductivity, collision frequency, etc. In the present we discuss the long-wavelength generalized Drude-Lorentz model introduced in [1], see also corresponding references therein and the discussion in [2]. Precisely, the following model expression for the two-component plasma IDF was suggested:Notice that the polynomials D n (z) can be easily found by the Gram-Schmidt procedure from the canonical set 1, z, z 2 , z 3 , . . . using the weight function f (t):D 0 (z) = 1, D 1 (z) = z, D 2 (z) = z − c 2 /c 0 , . . .
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