Reply to “Comment on ‘Langmuir oscillations in a nonextensive electron-positron plasma’”

In their Comment, Rehman and Ahmad have noted that the damping rate of Langmuir oscillations in a $q$-nonextensive electron-positron plasma is always negative and so resulting only in Landau damped oscillations and no unstable modes. As a Reply, I would like to resolve the origin of the misleading result in Phys. Rev. E 87, 053112 (2013), which had arisen from a misprint in numerical programming of one of the equations there. Furthermore, I would like to point out that this picture is not solely connected to the problem of Langmuir oscillations in an electron-positron plasma, but this is in fact a reemphasizing of the stability of $q$ distribution as a decreasing function with velocity. In this Reply, the corrected and modified pattern of the Landau damping rate of Langmuir oscillations in an electron-positron plasma is given in the superextensive region $q<1$ (the subsection involved an inappropriate result) and the modified results are confirmed. Hereby, it is confirmed that all analytical solutions of Phys. Rev. E 87, 053112 (2013) are true and the misleading result there arose from a misprint in numerical programming of one of the equations.

Figure 1

Imaginary part of the frequency with respect to the spectral index $q$ in region with $q<1$ (superextensive region).

Figure 2

Damping rate with respect to the wave number for some values of the spectral index $q$ in the case $q<1$.