Astrophysics and Particle Physics

Biography

Biography: Bhaben Chandra Kalita and Manabendra Deka

Abstract

The relativistic effects in electrons and ions particularly during magnetic storms and solar fluxes in outer and inner radiation belts, magnetospheric regions affect the linear behavior of the plasma modes faced by space probes/missions of any kind by the world community. Recently observed characteristic changes in space probes due to the presence of the charged dust particles and quantum effects in certain domain of wave phenomena are some additional causing factors of complexity. The fascinating well behaved nonlinear structure – ‘solitary waves’ found in space plasmas engulfing interplanetary regions are an interesting area of research. The regions of existence of these structures with variable pressures occurring usually in space subject to relativistic and quantum effects in plasmas/dusty plasmas under well-defined conditions may be helpful to deal with these complexities. Due to inclusion of relativistic effects in plasma particles, the usual condition for the formation of nonlinear solitary waves in warm plasmas necessitates to redefine or modify some entity. Our model: investigation of inertia of electrons demands an unusual result   because in usual plasma modes, isothermal ions are to satisfy and adiabatic electrons to satisfy i.e for high temperature T_e. This inspires us to redefine C_s with relativistic effects which admit the feasible condition . In the second attempt of multi component dusty plasmas with quantum effects in the inertia less electrons, we have established a special method through a differential equation to deduce the ‘energy integral’ (which is usually not possible in general) to show the existence of the nonlinear solitary waves. A new quantum parameter C₂ with defined range connecting the quantum term of the plasma wave equation is unearthed to predict the existence of solitary waves in dusty plasma.