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Analysis of methods for calculating the static characteristics of dense Coulomb systems

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Analysis of methods for calculating the static characteristics of dense Coulomb systems

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dc.contributor.author Arkhipov, Yu. V. es_ES
dc.contributor.author Askaruly, A. es_ES
dc.contributor.author Ashikbayeva, A.B. es_ES
dc.contributor.author Davletov, A.E. es_ES
dc.contributor.author Dubovtsev, Denis es_ES
dc.contributor.author Santybayev, K. es_ES
dc.contributor.author Tkachenko Gorski, Igor Mijail es_ES
dc.date.accessioned 2019-12-29T21:01:16Z
dc.date.available 2019-12-29T21:01:16Z
dc.date.issued 2018 es_ES
dc.identifier.issn 1563-0315 es_ES
dc.identifier.uri http://hdl.handle.net/10251/133778
dc.description.abstract [EN] In this paper, various methods for calculating static characteristics of plasma, such as HNC, MHNC, VMHNC, Percus-Yevik and analytical models were analyzed to satisfy a mathematical condition. Structural characteristics of a one-component plasma were reconstructed in a wide range of coupling parameters within the most requested various modern methods (HNC, MHNC, VMHNC, Percus-Yevik, and analytical models). All these methods were analyzed to fulfill the fundamental Cauchy ¿ Schwartz mathematical inequality. As a result a HNC method with the empirical expression of the bridge function and one of the recent methods for obtaining a structural factor based on a parameterized formula does not satisfy the inequality. The other methods for calculating static characteristics listed above beside the stated ones satisfy the condition. For the general analysis of a method, functional dependence was obtained expressing the Cauchy-Schwartz inequality. This dependence includes the frequency moments, which are defined within the framework of the method of moments. To satisfy the inequality, this relationship must be strictly positive. For each considered method of obtaining static structural characteristics, this relationship was calculated and analyzed. As a result, it was found that a number of methods do not satisfy the Cauchy-Schwartz inequality. es_ES
dc.language Inglés es_ES
dc.publisher Al-Farabi Kazakh National University es_ES
dc.relation.ispartof Recent Contribution to Physics es_ES
dc.rights Reconocimiento - Sin obra derivada (by-nd) es_ES
dc.subject One-component plasma es_ES
dc.subject Coulomb system es_ES
dc.subject Hyper-netted chain approximation es_ES
dc.subject Ornstein-Zernike integral equation es_ES
dc.subject Cauchy-Schwarz inequality es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Analysis of methods for calculating the static characteristics of dense Coulomb systems es_ES
dc.type Artículo es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Arkhipov, YV.; Askaruly, A.; Ashikbayeva, A.; Davletov, A.; Dubovtsev, D.; Santybayev, K.; Tkachenko Gorski, IM. (2018). Analysis of methods for calculating the static characteristics of dense Coulomb systems. Recent Contribution to Physics. 67(4):20-32. http://hdl.handle.net/10251/133778 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://bph.kaznu.kz/index.php/zhuzhu/article/view/900 es_ES
dc.description.upvformatpinicio 20 es_ES
dc.description.upvformatpfin 32 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 67 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\373415 es_ES


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