Nonlinear interaction of quantum electron plasma waves with quantum electron acoustic waves in plasmas

Abstract

An analysis of the interaction between modes involving two species with different pressures in the presence of a static-neutralizing ion background is presented using a quantum hydrodynamic model. It is shown that quantum electron plasma waves can nonlinearly interact with quantum electron acoustic waves in a time scale much longer than electron plasma oscillation response time. A set of coupled nonlinear differential equations is obtained that is similar to the Zakharov equations but includes quantum correction terms. These equations are solved in a moving frame, showing that solitary-wave-like solutions may also be possible in quantum Zakharov equations. It is also shown that quantum effects can reduce the growth rate of the usual caviton instability. Possible applications of the theory are also outlined.

Nonlinear interaction of electron acoustic waves with Langmuir waves in presence of magnetic field in plasmas

“…Retrieving previous results Now, let us check whether our equations produce previous result or not when there is no magnetic field. The interaction between electron plasma wave and EAW was previously studied in absence of magnetic field by Chakrabarti and Sengupta (2009) and two sets of Zakharov's equation were derived. If we put the value of magnetic field as zero in first and second Zakharov's equation, we get back the previous equations of their work.…”

“…Hence, investigations regarding the generation of electromagnetic modes, electrostatic turbulence are significant in auroral and ionospheric plasma region. Nonlinear interaction of EAW with electron plasma wave has been studied in unmagnetized plasma by Chakrabarti and Sengupta (2009), where solitary solutions are obtained for electric field concentration and density depletion regions. Nonlinear interaction of quantum electron plasma wave with quantum EAW has also been studied by Chakrabarti et al (2011).…”

“…Nonlinear interaction of EAW with electron plasma wave has been studied in unmagnetized plasma by Chakrabarti and Sengupta (2009), where solitary solutions are obtained for electric field concentration and density depletion regions. Nonlinear interaction of quantum electron plasma wave with quantum EAW has also been studied by Chakrabarti et al (2011). In both papers, a two-timescale two-fluid theory is used to derive a set of Zakharov's equation.…”

“…In both papers, a two-timescale two-fluid theory is used to derive a set of Zakharov's equation. Here, we want to extend the nonlinear electrostatic Zakharov's equations derived by Chakrabarti and Sengupta (2009) for the case of magnetized plasma. We will use the same two-timescale two-fluid theory to derive a set of three equations analogous to Zakharov's equations.…”

Parametric instabilities in quantum plasmas with electron exchange—correlation effects

“…Let us consider the one-dimensional (1D) quantum hydrodynamical (QHD) equations with the electron exchangecorrelation potential for the two-species quantum plasmas, composed of electrons and ions. The QHD equations consisting of the continuity and momentum balance equations are [7,14,22,23] ∂…”