Functional representation for the grand partition function of a multicomponent system of charged particles: Correlation functions of the reference system
Based on the method of collective variables (CV) with a reference system, the exact expression for the functional of the grand partition function of a m-component ionic model with charge and size asymmetry is found. Particular attention is paid to the n-th particle correlation functions of the refer...
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Format: | Article |
Language: | English |
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Institute for Condensed Matter Physics
2006-01-01
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Series: | Condensed Matter Physics |
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Online Access: | http://dx.doi.org/10.5488/CMP.9.4.659 |
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author | O.V.Patsahan I.M.Mryglod |
author_facet | O.V.Patsahan I.M.Mryglod |
author_sort | O.V.Patsahan |
collection | DOAJ |
description | Based on the method of collective variables (CV) with a reference system, the exact expression for the functional of the grand partition function of a m-component ionic model with charge and size asymmetry is found. Particular attention is paid to the n-th particle correlation functions of the reference system which is presented as a m-component system of "colour" hard spheres of the same diameter. A two-component model is considered in more detail. In this case the recurrence formulas for the correlation functions are found. A general case of a m-component inhomogeneous system of the "colour" hard spheres is also analysed. |
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format | Article |
id | doaj.art-34d76252568a430e82ed8df51edda76c |
institution | Directory Open Access Journal |
issn | 1607-324X |
language | English |
last_indexed | 2024-04-11T22:56:08Z |
publishDate | 2006-01-01 |
publisher | Institute for Condensed Matter Physics |
record_format | Article |
series | Condensed Matter Physics |
spelling | doaj.art-34d76252568a430e82ed8df51edda76c2022-12-22T03:58:24ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2006-01-019465966810.5488/CMP.9.4.659Functional representation for the grand partition function of a multicomponent system of charged particles: Correlation functions of the reference systemO.V.PatsahanI.M.MryglodBased on the method of collective variables (CV) with a reference system, the exact expression for the functional of the grand partition function of a m-component ionic model with charge and size asymmetry is found. Particular attention is paid to the n-th particle correlation functions of the reference system which is presented as a m-component system of "colour" hard spheres of the same diameter. A two-component model is considered in more detail. In this case the recurrence formulas for the correlation functions are found. A general case of a m-component inhomogeneous system of the "colour" hard spheres is also analysed.http://dx.doi.org/10.5488/CMP.9.4.659functional methodsreference systemcollective variables methodasymmetric ionic model"colour" hard sphere system |
spellingShingle | O.V.Patsahan I.M.Mryglod Functional representation for the grand partition function of a multicomponent system of charged particles: Correlation functions of the reference system Condensed Matter Physics functional methods reference system collective variables method asymmetric ionic model "colour" hard sphere system |
title | Functional representation for the grand partition function of a multicomponent system of charged particles: Correlation functions of the reference system |
title_full | Functional representation for the grand partition function of a multicomponent system of charged particles: Correlation functions of the reference system |
title_fullStr | Functional representation for the grand partition function of a multicomponent system of charged particles: Correlation functions of the reference system |
title_full_unstemmed | Functional representation for the grand partition function of a multicomponent system of charged particles: Correlation functions of the reference system |
title_short | Functional representation for the grand partition function of a multicomponent system of charged particles: Correlation functions of the reference system |
title_sort | functional representation for the grand partition function of a multicomponent system of charged particles correlation functions of the reference system |
topic | functional methods reference system collective variables method asymmetric ionic model "colour" hard sphere system |
url | http://dx.doi.org/10.5488/CMP.9.4.659 |
work_keys_str_mv | AT ovpatsahan functionalrepresentationforthegrandpartitionfunctionofamulticomponentsystemofchargedparticlescorrelationfunctionsofthereferencesystem AT immryglod functionalrepresentationforthegrandpartitionfunctionofamulticomponentsystemofchargedparticlescorrelationfunctionsofthereferencesystem |