Equations of state and diagrams of two-dimensional liquid dusty plasmas

Abstract

Recently, the pressure of two-dimensional (2D) Yukawa liquids has been calculated from the simulations of isochores [Feng et al., J. Phys. D: Appl. Phys. 49, 235203 (2016)], which is applicable to 2D dusty plasmas. Thus, the equation of state for 2D strongly coupled liquid dusty plasmas is obtained. Isobars and isotherms of 2D liquid dusty plasmas are derived from this equation of state. For 2D liquid dusty plasmas, the surface corresponding to this equation of state has also been obtained in the 3D space of the pressure, the temperature, and the screening parameter which is related to the volume in the equilibrium state.

Ionization equation of state for the dusty plasma including the effect of ion–atom collisions

“…(7) in [23], however, the definition of γ(Φ) is different from (14). Combination of (15) and (18) yields the IEOS's (19) in the variables n * i , Φ and n * e , Φ, respectively. Note that the IEOS's (15), (18), and (19) have a similarity property [36].…”

“…Combination of (15) and (18) yields the IEOS's (19) in the variables n * i , Φ and n * e , Φ, respectively. Note that the IEOS's (15), (18), and (19) have a similarity property [36]. An important property of complex plasma, the Havnes parameter H ≡ Zn p /n e defining the redistribution of charge between the light and heavy charge carriers, can be obtained from (9) and (14):…”

“…The developed IEOS's (15), (18), and (19) are based on the assumption that the Coulomb potentials of neighboring particles overlap; Eq. (12) assumes explicitly that the ion-particle scattering is equivalent to the collisions of the ions against a hard sphere with the radius 0.45r d .…”

“…which can be calculated for a stationary dust cloud on the basis of the IEOS's (15), (18), and (19). If the probe radius is close to that of the dust particles, |a − a p | /a ≪ 1 then one can use (27) to write approximately…”

“…The set of Eqs. (15), (18), and (19) combined with the threshold condition Q = 1 define uniquely the parameters of complex plasma such as the threshold particle number density for given probe diameter (Fig. 9).…”