Generation of longitudinal current by a transverse electromagnetic field in classical and quantum plasmas

Abstract

The analysis of nonlinear interaction of transversal electromagnetic field with Maxwellian collisionless classical and quntum plasmas is carried out. Formulas for calculation electric current in Maxwellian collisionless classical and quntum plasmas are deduced. It has appeared, that the nonlinearity account leads to occurrence of the longitudinal electric current directed along a wave vector. This second current is orthogonal to the known transversal current, received at the classical linear analysis. Graphic comparison of density of electric current for classical Maxwellian plasmas and Fermi Dirac plasmas (plasmas with any degree of degeneration of electronic gas) is carried out. Graphic comparison of density of electric current for classical and quantum Maxwellian plasmas is carried out. Also comparison of dependence of density of electric current of quantum Maxwellian plasmas from dimensionless wave number at various values of dimensionless frequency of oscillations of electromagnetic field is carried out.

Longitudinal electric current generated by a transverse electromagnetic field in a collisional plasma

“…From the formula (2.5) (or from (2.6)) it is visible, that at y = 0 (or ν = 0) i.e. when collisional plasma passes in collisionless (z → Ω, z ′ → Ω), this formula in accuracy passes in the corresponding formula from our work [20] for collisionless plasmas…”

“…At ν = 0 from this formula in accuracy turns out the corresponding formula from [20] for longitudinal current in the case of small values of wave number in collisionless plasma.…”

“…Collisional quantum plasma has started to be studied in work [13]. Then quantum collisional plasma was studied in our works [15] - [19]. In this works quantum collisional plasma with variable collision frequency was studied.…”

“…In this works quantum collisional plasma with variable collision frequency was studied. In works [20] - [22] generating of longitudinal current by transversal electromagnetic field in classical and quantum Fermi Dirac plasma [20], in Maxwellian plasma [21] and in degenerate plasma [22] was investigated.…”

Non-Linear Longitudinal Current in Classical and Quantum Plasmas, Generating by Two Transversal Electromagnetic Waves

“…Нами изучалась квантовая столкновительная плазма с переменной частотой столкновений. В работах [20] - [21] было исследовано генерирование продольного тока поперечным электромагнитным полем в классической и квантовой плазме Ферми Дирака [20] и в вырожденной плазме [21].…”