Plasma Physics Most Modern Issues. Advanced Kinetic and Magnetohydrodynamic Models

      Аннотация: This book aims to study the current advanced issues of plasma physics in both kinetic and magnetohydrodynamic models. The kinetic model applies thermodynamic treatment to a precise solution of plasma's unsteady Rayleigh flow problem. Traveling wave, moment, and shooting methods are utilized. BGK model equation is combined with Maxwell's equations and is solved. The perturbed and equilibrium velocity distribution functions are distinguished. The extended Gibbs equation predicts the ratios between the various contributions of internal energy changes for both diamagnetic and paramagnetic plasmas. The findings are applied to a conventional laboratory of various plasma kinds. The magnetohydrodynamic models are concerned with ion-acoustic waves in unmagnetized and magnetized plasma. The asymptotic method Reductive perturbations technique has been developed to derive the nonlinear evolution equations. Using that technique, we arrived at nonlinear evolution equations, e.g., a complex cubic Ginzburg-Landau equation, the Burger's equation, its modifications, and studied their solutions by various methods. The stability of the systems is investigated and phase portrait illustrations.

Ключевые слова: Irreversible thermodynamics, Mathematical Physics, Fluid mechanics, Internal Energy, plasma, Rayleigh Flow Problem, Boltzmann equation, Maxwell Equations, exact solution, entropy, Boltzmann H-Theorem, gas, Extended Gibbs Formula.