Author(s)

Nagat Abd El Rahman Hussein¹, Abd El-Rahim Hassan Ahmed², Esraa Gamal Sayed^1*

¹Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt.
²Mathematics Department, Faculty of Science, Al-Azhar University, Assiut, Egypt.

This study aims to estimate the quantum Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy in curvilinear coordinates. We used the results to calculate the quantum binary and triplet distribution functions in curvilinear coordinates. The analytical form of the quantum distribution functions was obtained for dusty plasma in Saturn’s rings model. We use particles-in-cell (PIC) simulations to find a visualization of dusty three-component plasma phase space in curvilinear coordinates. Our results were compared with others.

Dusty Plasma, Binary and Triplet Distribution Functions, Three Component Plasma, BBGKY Hierarchy

Hussein, N. , Ahmed, A. and Sayed, E. (2019) Quantum Distribution Functions for Dusty Plasma in Saturn’s Rings by Using Curvilinear Coordinates. International Journal of Astronomy and Astrophysics, 9, 115-132. doi: 10.4236/ijaa.2019.92009.