Characteristics and transformations of dust acoustic double-layers in plasmas with adiabatically trapped-nonextensive ions using Tsallis-Gurevich distribution

The investigation focuses on examining the characteristics of dust acoustic double-layers (DA-DLs) in the presence of adiabatically trapped-nonextensive ions featuring Tsallis-Gurevich distribution. Indeed, the ion-density and pseudo-potential expressions are formulated in terms of transcendental functions, allowing for a detailed analysis of Dust Acoustic Double Layers associated with complex plasmas in the presence of non-extensive adiabatically trapped ions. The study then delves into the impact of background ion nonextensivity on key DA-DLs properties. The findings reveal that our plasma model can exhibits both compressive and rarefactive DA-DLs, depending on the nonextensive parameter q . Also, the results indicate that in both sub-sonic and supra-sonic scenarios, the amplitude of the DA-DLs structure rises as the nonextensive parameter decreases. Additionally, it is observed that, for a constant value of the nonextensive parameter q , the amplitude of the DA-DLs structure increases with higher Mach numbers. This investigation, prompted by observations in space and laboratory plasmas containing non-Maxwellian particles alongside trapped particles, has the potential to complement and offer fresh insights into previous works on solitary waves in plasma.