Nonlinear Langmuir oscillations in an ultrarelativistic degenerate quantum electron-ion plasma

The investigation of the nonlinear Langmuir associations in an ultrarelativistic, fully degenerate quantum plasma, composed of stationary ions and warm electrons is considered. The quantum hydrodynamic model with the equation of state of electrons is used to derive a nonlinear differential equation that describes the chemical potential of electrons. Then, the Runge Kutta method is used to solve this equation numerically. Hence, the profiles of the chemical potential and electron number density are graphically presented. Numerical results show that the Bohm quantum force produces small scale quantum Langmuir oscillations along with the classical oscillations. These findings are helpful in understanding the features of nonlinear Langmuir waves in various astrophysical plasmas such as planetary interiors and compact objects.

Automated summary

This study investigates the nonlinear Langmuir associations in an ultrarelativistic, fully degenerate quantum plasma consisting of stationary ions and warm electrons. A quantum hydrodynamic model is used, along with the equation of state of electrons, to derive a nonlinear differential equation describing the chemical potential of electrons. The Runge-Kutta method is then employed for numerical solution, and the profiles of the chemical potential and electron number density are graphically presented. Numerical results demonstrate the presence of small scale quantum Langmuir oscillations, along with classical oscillations, caused by the Bohm quantum force. These findings contribute to the understanding of nonlinear Langmuir waves in various astrophysical plasmas, such as planetary interiors and compact objects.