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:: Volume 5, Issue 1 (Spring & Summer 2020) ::
2020, 5(1): 0-0 Back to browse issues page
Radial distribution function within the third version of the Tsallis statistical mechanics
Mohammad Amin Tabatabaei Bafghi , Mohammad Kamalvand , Ali Morsali
Yazd Uni
Abstract:   (779 Views)
Nowadays, a variety of physical systems have been known whose thermodynamic behavior, due to non-extensive effects, is not explicable by the common Boltzmann-Gibbs (BG) statistical mechanics. Thus, the correction of the BG entropy seems to be essential. In this regard, an efficient extension has been promoted by Tsallis, which is based on a generalized entropic form. In this study, a new equation is derived for the Radial Distribution Function (RDF) by taking into account the third version of the Tsallis statistics. To this end, probability distribution function is applied within the third version of the Tsallis statistics. Moreover, a closed formula is proposed for RDF. The momenta and the coordinates are independent in this equation. The effect of the non-extensivity parameter, q, on the RDF of a Lennard-Jones fluid, was investigated. At low densities, the results of the numerical calculations performed for RDF indicated that, the correlation increases with an increase in the values of q. Increase of the non-extensivity parameter and that of  has similar effects.
Keywords: Radial distribution function, Tsallis statistical mechanics, Entropic index, Non-extensive entropy
Full-Text [PDF 1009 kb]   (157 Downloads)    
Type of Study: Research | Subject: Special
Received: 2019/10/30 | Accepted: 2021/09/13 | Published: 2021/09/14
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Tabatabaei Bafghi M A, Kamalvand M, Morsali A. Radial distribution function within the third version of the Tsallis statistical mechanics. Journal title 2020; 5 (1)
URL: http://jmrph.khu.ac.ir/article-1-115-en.html


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Volume 5, Issue 1 (Spring & Summer 2020) Back to browse issues page
پژوهش های نوین فیزیک Journal Modern Research Physics
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