Abstract
Using the Ornstein–Zernike integral fluid equation for multi-component plasma, the dielectric properties and thermodynamical stability of dusty plasmas are studied. For the most non-ideal dust plasma subsystem, a transition to the one-component approximation is carried out. It is shown that the effective pseudopotential for determining the correlation functions in the selected subsystem should not include the contribution of this subsystem to the screening constant but also take into account the condition of total plasma quasineutrality. It is demonstrated that when the coupling parameter of the dust subsystem is smaller than unity, Γ00 < 1, the interaction potential between the charged plasma particles is fairly well described by the Debye potential with a full screening constant. For Γ00 > 1, the static dielectric function in the long wavelength domain becomes negative, and this domain expands when Γ00 increases. This leads to the appearance of attraction of particles with charges of the same sign and repulsion of particles with charges of the opposite sign. In this case, both the total pressure and the isothermal compressibility in the entire studied range of the coupling parameter Γ00 < 250 remain positive, but the isothermal compressibility of the dust subsystem becomes negative at Γ00 ≈ 2 within the studied range of variation of the plasma parameters. The sign of the derivative of the chemical potential with respect to the total number of dust particles, the positiveness of which is the third condition for the thermodynamic stability, is shown to coincide with the sign of the isothermal compressibility of the dust subsystem. Therefore, it is concluded that the equilibrium dusty plasma at Γ00 > 2 is thermodynamically unstable.
Highlights
Plasmas, which contain the so-called condensed disperse phase or dusty plasmas, are widely spread in nature and used in technology, and research of such complex systems is of considerable interest both for fundamental physics1–5 and for a number of applications, for example, in the nanoparticle industry.6 The theoretical study of the charged particle interactions in such systems is still one of the most important issues.7–13 Numerical studies of dusty plasmas by, for example, the molecular and Brownian dynamics methods are traditionally carried out with the interaction between charged heavy particles modeled by the pair Yukawa or Debye interaction potential or with some additional interaction potential with the inverse squared interparticle distance asymptotic form at large distances
It is shown that the effective pseudopotential for determining the correlation functions in the selected subsystem should not include the contribution of this subsystem to the screening constant and take into account the condition of total plasma quasineutrality
It is demonstrated that when the coupling parameter of the dust subsystem is smaller than unity, Γ00 < 1, the interaction potential between the charged plasma particles is fairly well described by the Debye potential with a full screening constant
Summary
Plasmas, which contain the so-called condensed disperse phase or dusty plasmas, are widely spread in nature and used in technology, and research of such complex systems is of considerable interest both for fundamental physics and for a number of applications, for example, in the nanoparticle industry. The theoretical study of the charged particle interactions in such systems is still one of the most important issues. Numerical studies of dusty plasmas by, for example, the molecular and Brownian dynamics methods are traditionally carried out with the interaction between charged heavy (dust) particles modeled by the pair Yukawa or Debye interaction potential (see, e.g., Refs. 14–20) or with some additional interaction potential with the inverse squared interparticle distance asymptotic form at large distances (see, e.g., Ref. 21). The present work, unlike the above papers, is dedicated to the description of electrostatic properties of dusty plasmas with the Coulomb pair interaction potential between charged plasma particles based on the multicomponent Ornstein–Zernike equation.. The present work, unlike the above papers, is dedicated to the description of electrostatic properties of dusty plasmas with the Coulomb pair interaction potential between charged plasma particles based on the multicomponent Ornstein–Zernike equation.23,24 II, the solution of the Ornstein–Zernike equations in the hypernetted chain approximation is presented for a three-component Coulomb plasma, where the energies of electron–dust, ion–dust, electron–electron, electron–ion, and ion–ion interactions remain much smaller than their thermal energy It is shown how the effective dust–dust Debye potential is formed. The preliminary short version of the present work was published in Ref. 36
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