Generalized chemical model for plasmas with application to the ionization potential depression
Davletov A.E. Arkhipov Y.V. Mukhametkarimov Y.S. Yerimbetova L.T. Tkachenko I.M.
1 June 2023Institute of Physics
New Journal of Physics
2023#25Issue 6
On the basis of the generalized Poisson-Boltzmann equation derived from the Bogolyubov chain of equations for the equilibrium distribution functions in the pair correlation approximation, a general expression is proposed for the Helmholtz free energy of a system that contains any number of components and whose particles interact via arbitrary potentials. This opens up an extraordinary opportunity to simultaneously treat a whole range of physical effects including partial ionization, quantum effects of diffraction and electron degeneracy, short- and long-range interactions of charged particles with neutrals, finite size effects, etc. It is shown that all medium constituents are tied together in a single screening matrix, whose determinant and trace determine the excess contribution to the free energy. The approach developed is then applied to the problem of the ionization potential depression (IPD) leading to quite simple analytical expressions, which turn out to be useful for various practical purposes. In particular, for a single ionization from the neutral state the IPD is shown to significantly depend on the ionization degree such that it consists of the difference of charged and neutral contributions for a fully ionized plasma and turns non-zero for an almost neutral medium. On the other hand, for a multiple ionization process finite size effects of atoms and ions are demonstrated to be of great importance and accounted for in order to achieve good agreement with experimental data on the IPD under warm dense matter conditions.
effective interaction potentials , Helmholtz free energy , ionization potential depression
Text of the article Перейти на текст статьи
Department of Physics and Technology, Al-Farabi Kazakh National University, 71 Al-Farabi av., Almaty, 050040, Kazakhstan
Departament de Matemàtica Aplicada, Universitat Politècnica de València, Camino de Vera s/n, Valencia, 46022, Spain
Department of Physics and Technology
Departament de Matemàtica Aplicada
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026