Abstract:
A method is proposed for calculating the thermodynamic characteristics of many-particle
systems with explicit separation of the nearest-neighbor interaction. This method is
used to obtain a group expansion for the distribution function of the micropotential, the
logarithm of the probability density of the nearest neighbor, and the characteristic
function (the Fourier transform of the distribution function of the micropotential) and this
describes the influence of the remaining particles. For a Coulomb system, the explicit
form of these quantities in the ring approximation is found. The density of electron
states calculated in this manner is finite at all energies and describes a transition from
bound to free states.
Citation:
V. S. Vorob'ev, A. L. Khomkin, “Nearest-neighbor approximation in the thermodynamics of coulomb systems and plasmas”, TMF, 26:3 (1976), 364–375; Theoret. and Math. Phys., 26:3 (1976), 246–254
\Bibitem{VorKho76}
\by V.~S.~Vorob'ev, A.~L.~Khomkin
\paper Nearest-neighbor approximation in the thermodynamics of coulomb systems and plasmas
\jour TMF
\yr 1976
\vol 26
\issue 3
\pages 364--375
\mathnet{http://mi.mathnet.ru/tmf3234}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 26
\issue 3
\pages 246--254
\crossref{https://doi.org/10.1007/BF01032096}
Linking options:
https://www.mathnet.ru/eng/tmf3234
https://www.mathnet.ru/eng/tmf/v26/i3/p364
This publication is cited in the following 8 articles:
V. B. Bobrov, “On the closed interpolation equation of state for a simple liquid”, High Temperature, 61:3 (2023), 320–327
Alexander L. Khomkin, Aleksey S. Shumikhin, “Plasma phase transition in historical aspect and the role of bound states”, Contributions to Plasma Physics, 62:8 (2022)
A. L. Khomkin, A. S. Shumikhin, “Conductivity of nonideal fully ionized plasma: Comparison of calculation results by the molecular dynamics method and model approach”, High Temperature, 57:3 (2019), 462–468
A. A. Bobrov, V. S. Vorob'ev, B. V. Zelener, “Transfer coefficients in ultracold strongly coupled plasma”, Physics of Plasmas, 25:3 (2018)
V S Vorob'ev, “Features of triple recombination in ultracold plasma”, J. Phys.: Conf. Ser., 927 (2017), 012074
V. S. Vorob'ev, “Collisional three-body recombination in strongly coupled ultracold plasmas”, Physics of Plasmas, 24:7 (2017)
A. L. Khomkin, A. S. Shumikhin, “Electron energy distribution in nonideal coulomb systems: theory and results of a numerical experiment”, High Temperature, 54:6 (2016), 796–801
È. A. Manykin, B. B. Zelener, B. V. Zelener, “Thermodynamic and Kinetic Properties of Nonideal Rydberg Matter”, JETP Letters, 92:9 (2011), 630–645
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