Belgacem, Chokri Hadj (2019) Exact Solution of Particle's Occupation Number in the Lambert Boltzmann Distribution using Lambert W Function. Journal of Materials Science Research and Reviews, 2 (2). pp. 228-233.
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Abstract
By applying the exact Stirling formula and the exact function , the occupation number of particles was calculated based on the statistics of Boltzmann distribution for a finite number of particles n. The exact analytical expression of occupation number of particles (ni) is found in terms of the Lambert W function and is more general than that usually calculated by the standard Boltzmann distribution based on the Stirling approximation. The new expression in the exact and algebraic closed form eliminates the need for the complex iterative computation. Its high accuracy is proved by a comparison of calculating occupation number of particles (ni) with respective numerical solution.
Item Type: | Article |
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Subjects: | Digital Academic Press > Chemical Science |
Depositing User: | Unnamed user with email support@digiacademicpress.org |
Date Deposited: | 28 Jun 2023 04:48 |
Last Modified: | 08 Jun 2024 08:40 |
URI: | http://science.researchersasian.com/id/eprint/1596 |