The collision frequency of electron‐neutral‐particle in the weakly ionized plasma with the power‐law velocity distribution

Abstract

We study the collision frequency of electron-neutral-particle in the weakly ionized plasma with the power-law velocity q-distribution and derive the formulation of the average collision frequency. We find that the average collision frequency in the q-distributed plasma also depends strongly on the q-parameter and thus is generally different from that in the Maxwell-distributed plasma, which therefore modifies the transport coefficients in the previous studies of the weakly ionized plasmas with the power-law velocity distributions.

The collision frequencies in the plasmas with the power-law q-distributions in nonextensive statistics

“…In the previous paper for the collision frequency of electron-neutral particle [32], the velocity of neutral particles was usually considered zero as compared with that of electrons, in this case the above Eq. ( 3) can be naturally reduced to the equation for the definition of average collision frequency in Ref.…”

“…( 3) can be naturally reduced to the equation for the definition of average collision frequency in Ref. [32].…”

“…where the symbol σ 2 12 is equivalent to the symbol r 2 n in Ref. [32]. In the previous works on the transport coefficients in weakly ionized plasma with the q-distributions, such as the viscosity [10,11], the diffusion coefficient and thermal conductivity [9,[12][13][14] etc., the average collision frequency was generally considered a constant.…”

“…The non-Maxwellian and/or power-law distributed complex plasmas have aroused wide interest and have generally been studied under the framework of new statistical mechanics [31]. Recently, the average collision frequency between the electrons and neutral particles was derived for the weakly ionized plasma with the velocity q-distribution [32], but that of electron-ion collision for a kappa-distribution was estimated very approximately [33]. But for more complex and important situations both in the weakly and highly ionized plasmas, such as the collisions between electrons, ions and neutral particles, remain to be studied.…”

New procedure to estimate plasma parameters through the q-Weibull distribution by using a Langmuir probe in a cold plasma

“…To address non-Maxwellian distribution, we consider the fact that the non-extensive statistics initiated with Tsallis [25,26,27] was proposed to analyze plasma physics and long range interaction problems [28,29,30,31,32,33,34,35,36,37]. In particular, we study experimental measurements obtained in the plasma cathode sheath, and we rely on Ref.…”