The Classical Bair Distribution Function Using Bilal Distribution for One Component Plasma | ||||
| Aswan University Journal of Sciences and Technology | ||||
| Volume 4, Issue 3, September 2024, Page 149-164 PDF (680.59 K) | ||||
| Document Type: Original papers | ||||
| DOI: 10.21608/aujst.2024.311589.1116 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Esraa sayed  ; Ayman Abd-Elrahman
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| Department of Mathematics, Faculty of Science, Assuit University, Assiut, Egypt. | ||||
| Abstract | ||||
| This research introduces a novel approach to calculating the binary distribution function of the one-component plasma (OCP) model using the Bilal distribution. The OCP, a fundamental model in plasma physics, is essential for understanding phenomena in fields such as astrophysics, condensed matter physics, and inertial confinement fusion. By employing the Bilal distribution, which offers superior flexibility in fitting non-standard data, we aim to provide a more accurate representation of the pair correlation function in the OCP. Our findings reveal that the Bilal distribution yields result that are in excellent agreement with Monte Carlo simulations and other theoretical predictions. The enhanced flexibility of the Bilal distribution allows for a more accurate description of the short-range and long-range correlations between particles, which are crucial for understanding the thermodynamic properties of the OCP. Additionally, we have investigated the effects of various system parameters, such as the coupling parameter, on the binary distribution function. | ||||
| Keywords | ||||
| OCP plasma; Bilal distribution; Binary distribution function | ||||
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