Engineering topics

Trigger, S A

Publications and source records attributed to Trigger, S A.

3 records

DOE OSTI2012

Necessary conditions of the equivalence of canonical and grand canonical ensembles in Coulomb system thermodynamics

It was found that the equivalence of the grand canonical and canonical ensembles for the Coulomb systems is possible only when charged particles of different types in calculating the physical quantities are considered as formally 'independent' ones, and the quasi-neutrality condition is used in the final stage of calculations. The phase equilibrium condition is obtained and the expression is derived for the isothermal compressibility of matter as a two-component Coulomb system, which corresponds to the known limit relations for static structure factors. On this basis, it is demonstrated that the critical point of matter, considering as the Coulomb system is determined from the condition of vanishing mean square of fluctuations of the total charge per unit volume.

70 PLASMA PHYSICS AND FUSION TECHNOLOGY↗

DOE OSTI2011

Coulomb divergence of the high-frequency expansion of the dielectric permittivity

Based on accurate results of the linear response theory and the Kramers-Kronig relations, the permittivity {epsilon}({omega}) of the non-relativistic Coulomb system is analyzed at arbitrary thermodynamic parameters in the high-frequency limit {omega}{yields}{infinity}. It is shown that the expansion of the real part of the permittivity Re{epsilon}({omega}) in powers of 1/{omega}{sup 2} is limited to only three terms. Limit constraints on the power-law behavior of the imaginary part of the permittivity Im{epsilon}({omega}) are determined.

70 PLASMA PHYSICS AND FUSION TECHNOLOGY↗

DOE OSTI2011

Density functional, density matrix functional, and the virial theorem

On the basis of the virial theorem for finite motion of interacting electrons in a static external field, it is shown that ground-state energy is determined evidently by the one-particle density matrix. The exact expression for ground-state energy is found and can be applied to various problems, in particular, in studying the electronic structure of atoms, molecules, and other bound complexes.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗