Thermodynamic and transport properties of nonideal systems with isotropic pair potentials

Abstract

The equations of state and the structural, thermodynamic, and transport properties of the two- and three-dimensional nonideal dissipative systems consisting of particles interacting with different isotropic pair potentials are studied in a wide range of parameters typical for laboratory dusty plasma. Simple semiempirical expression for the energy density in liquid systems is considered. Comparison of the theoretical and numerical results is presented.

Thermodynamics and phase transitions in two-dimensional Yukawa systems

“…To know the order of the phase transition we should explore the behavior of various thermodynamic functions and characteristics, such as the specific entropy, the internal energy, the specific heat, the compressibility, etc. Thermodynamic characteristics of quasi-twodimensional Yukawa systems (taking into account the displacements of particles perpendicular to the layer) close to the phase transitions were studied numerically in [22,36]. These works have confirmed the existence of two singularities near Γ * = 98 and Γ * = 154.…”

Thermal fluctuations of the pair-interaction forces in two-dimensional fluid Yukawa systems

“…the equations of state can be used [5][6][7][8]. In case of isotropic pair interactions (with the interaction energy φ(r) the physical properties of non-ideal systems, such as the energy density, and the pressure are determined by the temperature T , the concentration, n, and the pair correlation function, g(r), which can be measured experimentally or may be found from the computer simulations [5][6][7][8]. So, the internal energy density U per a particle of a system (calorific equation of state) may be written as…”

“…In the scope of a classical electrostatics the energy density, U , in the nonideal quasi-equilibrium three-dimensional systems (with an accuracy of constant not dependent on T ) may be presented as [9,10] where ǫ is the dielectric constant (∂ǫ/∂T = 0 for monatomic non-polar fluids), and δE 2 is the mean square of electric field fluctuations, which result from the small thermal perturbations of particles' concentration and can produce the fluctuations of the of electric current density [9][10][11] and U 0 is the energy density for the crystal lattice at T = 0. For any lattice of known type, for example, for the fcc, bcc or hp lattices, the values of U 0 may be easily computed [8].…”

“…The simple semi-empirical approximation for the energy densities in the two-dimensional (m = 2), and three-dimensional (m = 3) strongly non-ideal liquids was proposed in [8]. The thermal component (U − U 0 − mT /2) of the potential part of U may be written as [8] …”

“…is the second derivative of a pair potential φ(r) at the point of r = r p , Γ * c is the value of Γ * in the melting line of solid (Γ * c ∼ = 104.5 ± 5 for the body-center cubic (bcc) lattice; Γ * c ∼ = 102.5 ± 5 for the hexagonal primitive (hp) lattice [8,12]). …”