Plasma Frequency, Parabolic Trajectories, and Conductivity of Nonideal Fully Ionized Plasma
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MA INVESTIGATIONS
Plasma Frequency, Parabolic Trajectories, and Conductivity of Nonideal Fully Ionized Plasma A. L. Khomkina, * and A. S. Shumikhina, ** a
Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow, 125412 Russia *e-mail: [email protected] **e-mail: [email protected] Received November 5, 2019; revised December 8, 2019; accepted December 24, 2019
Abstract—The conductivity of nonideal, fully ionized plasma is calculated under the assumption that there are no straight sections of electron trajectory. The trajectory consists of pieces of parabolic trajectories lying inside the Wigner–Seitz cell. The conductivity in this approximation is proportional to the plasma frequency and is close to the experimentally measured conductivity of a dense cesium plasma. DOI: 10.1134/S0018151X20030098
INTRODUCTION Many interesting ideas were expressed and numerous “universal” calculation formulas were proposed during the discussion of the problem of the conductivity of “nonideal plasma” in the 1970s [1]. In this work, attention is drawn to the hypothesis of the existence of the limiting conductivity of a fully ionized, nonideal plasma expressed by E.I. Asinovskii and A.A. Valuev [2]. As far as the authors know, the concept of “limiting” conductivity of strongly nonideal plasma was first introduced in this work:
σl =
ωp . 4π
(1)
In (1), ω p = 4πe 2ne m is the plasma frequency expressed in terms of the concentration ne, charge e , and mass m of electrons. Most experiments did not confirm this assumption. Only the experimental data obtained by I.Ya. Dichter and V.A. Zeigarnik in dense cesium vapors [3] during their extrapolation pointed to (1). These experiments were distinguished from most others by the obtainment of a fairly dense plasma was with almost complete ionization and the absence of the effect of electron collisions with atoms. We emphasize that it is the analysis of experimental data from [3] that led the authors of [2] to relation (1). It should be noted that (1) is completely inconsistent with the classical picture of transport processes in gases and plasma, which assumes particle motion along a rectilinear trajectory interrupted by random, instantaneous collisions. In this case, the conductivity of fully ionized plasma is practically independent of density (the number of carriers is equal to the number of scatterers). Unfortunately, the sum of all of the experimental data and their accuracy did not allow us
to draw definitive conclusions about the existence of certain “effects” of nonideality. We note one more important effect for the future. In [4, 5], attention was drawn to the growing role in the processes of the transfer of scattering states—collision complexes with increasing density of atomic gases. In connection with the progress of computer technology, researchers again drew attention to the portable and other dynamic properties of fully ionized, nonideal plasma. The molecular-dynamics method (MDM) made it possible to obtain [6, 7] the conductivity of nonideal, “fully ionized” cla
