Analytic forms of thermonuclear functions

Hans J. Haubold, Ashik A. Kabeer and Dilip Kumar

Physica A: Statistical Mechanics and its Applications, 2023, vol. 630, issue C

Abstract: In nuclear fusion reactions taking place in stellar interiors, if there is a deviation from hydrostatic equilibrium, then one can think of an alternative velocity distribution instead of the Maxwell–Boltzmann distribution. The paper is devoted to study the extension of non-resonant reaction rate integrals in standard, cut-off, depleted, and screened cases via Mittag-Leffler distribution. The extended non-resonant reaction rate integrals are represented in the form of Fox’s H-function, generalized Wright function. A comparison of the Mittag-Leffler non-resonant energy distributions with the standard Maxwell–Boltzmann energy distribution and the pathway energy distribution is also done.

Keywords: Reaction rate probability integral; Maxwell–Boltzmann distribution; Mittag–Leffler gaussian distribution; Fox’s H–function; Generalized Wright function (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:630:y:2023:i:c:s037843712300804x

DOI: 10.1016/j.physa.2023.129249

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