Bhaben Chandra Kalita
Gauhati University, India
Title: Determination of classical distributions of electrons and ions with inertias containing Boltzmann relations and equation of electron to ion temperature ratio α for non-thermal plasma composition
Biography
Biography: Bhaben Chandra Kalita
Abstract
The simple consideration of inertia less electrons i.e. me tending to zero in the momentum equation of motion of electrons gives rise to the Boltzmann relation ne=exp (Ï•). The investigation of nonlinear solitary waves in multi component plasma or in dusty plasma through ‘Energy Integral’ is mostly confined to the application of this simple Boltzmann relation of electrons or even of ions to get rid of complexity. Contextually in multi component plasma, the perturbative method needs to be applied as the energy integral cannot be deduced (except in simple cases with Boltzmann relation). But the occurrence of nanoparticles in the modern dynamical scenario demands inclusion of electron inertia so that me is non- zero. In conformity with this the Cairns distribution of electrons and ions ne = (1-βφ+βφ2) exp(φ) and ne=(1+βφ+βφ2) exp (-φ) respectively have already been established for non-thermal parameter β which contain the Boltzmann relations for β=0. Similarly, Kappa distribution and some other distributions are in great use in non-thermal situations. These ideas prompt us to develop new distributions of electrons and ions with inertias as an extension of the simple Boltzmann relations. For this purpose, the following relations of electrons and ions are established for the first time: Where Comparison of the author’s ion’s distribution and Cairns ion’s distribution the following important equation of electron to ion temperature ratio is established.