Several methods can be used to model the plasma, especially to solve the Maxwell-Boltzmann equation. In fact, the plasma is treated as a charged fluid in order to have an alternative solution for the resolution of the Maxwell-Boltzmann equation. This macroscopic model according to the complexity admits two approximations called Local Field Approximation and Local Energy Approximation. Consequently, the major objective of this article is to realize a comparative study between these two macroscopic approximations while highlighting the use of each one. A two-dimensional model of the non-equilibrium discharge is realized, with the presence of a dielectric barrier while using the COMSOL Multiphysics program. The results of the numerical simulations showed a remarkable effect in making the function that relates the average electronic energy with the reduced field in the case of a Local Field Approximation well specified. From the study realized, it is shown that when the frequency is increased, the results obtained by the Local Field Approximation diverge at high frequency, it is also shown that this leads to a Townsend transition to the streamer discharge mode. Moreover, the results obtained by the Local Energy Approximation are consistent with those existing in the literature.
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Ouali, M. , Seddaoui, N. and Lagmich, Y. (2022). Comparative Study between Different Macroscopic Approximations for Cold Plasma Modeling. Open Access Library Journal, 9, e9497. doi: http://dx.doi.org/10.4236/oalib.1109497.
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