Exact two-dimensional plasma pair-correlation function in the Singwi-Tosi-Land-Sjolander approximation. I. k-space solutions and thermodynamic properties

Journal Article · Sun Jul 01 00:00:00 EDT 1979 · Phys. Rev., A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.20.329· OSTI ID:6088136

Calinon, R; Golden, K I; Kalman, G; Merlini, D

The Singwi-Tosi-Land-Sjolander (STLS) nonlinear integral equation for the plasma pair-correlation function g is adapted to two-dimensional one-component plasma (ocp) systems whose Coulombic interactions are characterized by the logarthmic potential. The two-dimensional STLS integral equation has the remarkable property that it can be exactly solved. The resulting expressions for g (k) are extensively analyzed and are shown to be negative definite for all values of k and the coupling strength. The implication here is that in the STLS approximation, the ocp liquid can never undergo a phase transition. Exact expressions for g enable us to evolve exact formulas for the correlation energy and heat capacity. Finally, we demonstrate that the STLS approximation scheme exactly reproduces the correct equation of state for the two-dimensional ocp liquid.

• Research Organization: Departement de Physique, Ecole Polytechnique Federale de Lausanne, CH-1007 Lausanne, Switzerland
• OSTI ID: 6088136
• Journal Information: Phys. Rev., A; (United States), Vol. 20:1
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
PLASMA
CORRELATION FUNCTIONS
THERMODYNAMIC PROPERTIES
ANALYTICAL SOLUTION
EQUATIONS OF STATE
INTEGRAL EQUATIONS
KINETICS
SPECIFIC HEAT
TWO-DIMENSIONAL CALCULATIONS
EQUATIONS
FUNCTIONS
PHYSICAL PROPERTIES
700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)