Interaction potentials and thermodynamic properties of two component semiclassical plasma

This paper considers dense partially ionized hydrogen plasma. The model of interaction between particles was used to study properties of plasma. Interaction potentials were obtained through the dielectric response function method. Effective potentials, taking into account the screening effects at large distances and the quantum-mechanical diffraction effect at small distances, were used to model the interaction between particles. Another effective screening potential was chosen to describe the charge interaction with neutral atoms. This potential takes into account the interaction between free charge and atomic nucleus with centrally symmetric distribution of the electron density. The degree of ionization was calculated through solving the system of Saha equations. Pair correlation functions were studied in the exponential approximation. Thermodynamic properties for hydrogen plasma were calculated using the effective potentials and obtained on their base pair correlation functions. Internal energy and equation of state of partially ionized hydrogen plasma were compared with the results from previous research. The results indicated that the difference observed with high values of parameters was due to increase in the concentration of atoms. UDC Classification: 533.9 DOI: http://dx

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“…Where: n is the number of particles in the system (Ramazanov, Moldabekov, Gabdullin, &Ismagambetova, 2014).…”

Section: Methodsmentioning

confidence: 99%

Thermodynamic Properties of Partially Ionized Hydrogen Plasma

Габдуллин

Рамазанов

Ismagambetova

et al. 2016

CBUP

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“…In non-ideal plasmas [21][22][23], however, it is shown that the effective interaction potential and the electron pair-correlation function would not be properly represented by the Debye-Hückel theory owing to the influence of quantum and collective correlation effects. Hence, it is expected that the occurrence times for the elastic electron-ion collision in non-ideal plasmas can be quite different from those in weakly coupled plasmas due to the quantum diffraction [28] and plasma screening effects. However, the influence of quantum diffraction and plasma screening on the occurrence time in non-ideal plasmas has not been investigated as yet.…”

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confidence: 98%

“…Very recently, Ramazanov, Moldabekov, Gabdullin, and Ismagambetova [28] has obtained an extremely useful analytic expression of the effective interaction potential V RMGI (r) between plasma particles e α and e β in non-ideal plasmas taking into account the quantum diffraction, plasma screening and symmetric effects, where α and β are types of plasma particles. Based on the RMGI-micropotential model [28], the effective interaction potential V RMGI (r) between the electron (e) and the ion (i) with nuclear charge Ze in dense non-ideal plasmas including the quantum diffraction and plasma screening effects is repressed as…”

mentioning

confidence: 99%

“…The atomic collision and radiation processes have been actively investigated by using the effective potentials based on the Yukawa-type Debye-Hückel model [6,19] and the ion-sphere model [20], respectively, in weakly coupled and strongly coupled plasmas. Recent years, the physical characteristics and properties of dense plasmas have been of great interests since the dense non-ideal plasma can be found in various astrophysical and laboratory environments such as astrophysical compact objects, intense laser-plasma experiments, nano-wires, quantum dots, and semiconductor devices [21][22][23][24][25][26][27][28]. In non-ideal plasmas [21][22][23], however, it is shown that the effective interaction potential and the electron pair-correlation function would not be properly represented by the Debye-Hückel theory owing to the influence of quantum and collective correlation effects.…”

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confidence: 99%

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Quantum characteristics of occurrence scattering time in two-component non-ideal plasmas

Hong

Jung

2015

Physics Letters A

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“…where N is the number of particles in the system (Ramazanov, 2014). The interaction potentials for different models are presented in figure 1.…”

Section: Thermodynamic Propertiesmentioning

confidence: 99%

Thermodynamic Properties of Hydrogen Plasma

Габдуллин

Рамазанов

Ismagambetova

et al. 2017

CBUP

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Abstract:In this paper dense hydrogen plasma, which is of considerable interest in both theoretical and practical areas such as non-ideal plasma encountered in thermonuclear reactors, is considered. The structural and thermodynamic properties of dense non-ideal hydrogen plasma were investigated. Potentials taking into account the quantum-mechanical effects of diffraction and symmetry have been used as a model of interaction. The symmetry effect was considered for the different directions of spin of electrons. Pair correlation functions have been obtained in the solution for the integral equation of the Ornstein-Zernike in hyper-netted chain approximation on the basis of the interaction potentials. Thermodynamic properties for hydrogen plasma were calculated using the interaction potentials and pair correlation functions. The quantum symmetry effect weakens the interaction between the charged particles leading to a decrease in the absolute value of the non-ideal part of the thermodynamic characteristics of the dense plasma. The symmetry effect is more pronounced for higher values of density.UDC Classification: 533.9; DOI: http://dx.doi.org/10.12955/cbup.v5.1082Keywords: plasma, potential, structural, thermodynamic. IntroductionOne of the main problems of modern plasma physics is obtaining thermodynamic properties of a nonideal plasma in a wide range of parameters. In this paper, the model of interparticle interactions, which takes into account quantum-mechanical effects of diffraction and symmetry, was used to study properties of dense non-ideal hydrogen plasma (Moldabekov, 2012). The quantum-mechanical effect of symmetry takes into account the Pauli principle, which prohibits the simultaneous presence of two identical particles with a half-integer spin (in this case, electrons) in the same state, hence reducing the probability of finding particles at a distance from each other. Interaction potentialsIn the work conducted by Moldabekov (2012), interaction potentials used in this paper that take into account quantum-mechanical effects of diffraction and symmetry were obtained:

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Interaction potentials and thermodynamic properties of two component semiclassical plasma

Cited by 32 publications

References 18 publications

Thermodynamic Properties of Partially Ionized Hydrogen Plasma

Thermodynamic Properties of Partially Ionized Hydrogen Plasma

Quantum characteristics of occurrence scattering time in two-component non-ideal plasmas

Thermodynamic Properties of Hydrogen Plasma

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