Small amplitude double layers in an electronegative dusty plasma with q-distributed electrons**Project supported by the “Strategic Priority Research Program” of the Chinese Academy of Sciences (Grant No. XDA01020304), the National Natural Science Foundation of China (Grant Nos. 11747306 and 11565022), and the Youth Science and Technology Foundation of Gansu Province, China (Grant No. 1606RJYA263).

Abstract

The small amplitude dust ion-acoustic double layers in a collisionless four-component unmagnetized dusty plasma system containing nonextensive electrons, inertial negative ions, Maxwellian positive ions, and negatively charged static dust grains are investigated theoretically. Using the pseudo-potential approach and reductive perturbation method, an energy integral equation for the system has been derived and its solution in the form of double layers is obtained. The results appear that the existence regime of the double layer is very sensitive to the plasma parameters, e.g., electron nonextensivity, negative-to-positive ion number density ratio etc. It has been observed that for the selected set of parameters, the system supports rarefactive, (compressive) double layers depending upon the degree of nonextensivity of electrons.