Open AccessTo the Statistical Description of the Structure Formation in Coulomb-like Systems
Author(s) -
B. I. Lev,
А. G. Zagorodny
Publication year - 2022
Publication title -
ukrainian journal of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.213
H-Index - 17
eISSN - 2071-0194
pISSN - 2071-0186
DOI - 10.15407/ujpe56.7.700
Subject(s) - coulomb , partition function (quantum field theory) , physics , partition (number theory) , statistical physics , charged particle , quantum , statistical mechanics , classical mechanics , quantum mechanics , ion , mathematics , combinatorics , electron
A new solution to the problem of the calculation of the partition function for a Coulomb-like system is proposed. The quantum-field-theory approach is used to give a statistical description of a system of interacting particles with due regard to an arbitrary spatially inhomogeneous configuration. The formation of structures in a Coulomb-like system is analyzed and applied to thedusty plasma treatment. A necessary condition for the crystal formation in a three-dimensional system of dust particles is obtained. In the one-dimensional case, an exact solution for the spatial distribution of charged particles is presented.