Some integral relationships for distribution functions of fluids in disordered media

The Yvon–Born–Green, Kirkwood and Kirkwood–Salsburg integral equation hierarchies have been obtained for the case of a fluid adsorbed into a host medium made up of immobile particles. Despite earlier work which showed that the Ornstein–Zernicke equations for this situation were fundamentally differe...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The Journal of chemical physics 1995-11, Vol.103 (18), p.8156-8165
1. Verfasser: Madden, William G.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 8165
container_issue 18
container_start_page 8156
container_title The Journal of chemical physics
container_volume 103
creator Madden, William G.
description The Yvon–Born–Green, Kirkwood and Kirkwood–Salsburg integral equation hierarchies have been obtained for the case of a fluid adsorbed into a host medium made up of immobile particles. Despite earlier work which showed that the Ornstein–Zernicke equations for this situation were fundamentally different from those of a binary equilibrium fluid mixture, the pure-fluid and mixed-fluid-matrix Yvon–Born–Green and Kirkwood–Salsburg equations for the matrix-averaged distribution functions, g(n)f and for g(n)mf, are found to be identical to those for the equilibrium mixture. However, the equilibrium mixture equations for g(n)m do not apply. At present, the Kirkwood equation does not appear in a matrix-averaged form suitable for numerical work. The Kirkwood–Salsburg equations can be used to generate the fundamental graph theory for the problem. In practical calculations, the special role of the matrix enters principally in the closures used to truncate the hierarchy of equations. The standard Kirkwood superposition approximation is appropriate in this application, and circumstances in which practical corrections to the superposition approximation can be employed are considered.
doi_str_mv 10.1063/1.470179
format Article
fullrecord <record><control><sourceid>crossref</sourceid><recordid>TN_cdi_crossref_primary_10_1063_1_470179</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1063_1_470179</sourcerecordid><originalsourceid>FETCH-LOGICAL-c227t-9720a5ff8682c5e88eb21656b126de157925c2a3760d98441846a0a7286d16943</originalsourceid><addsrcrecordid>eNotkD9PwzAUxC0EEqEg8RE8sqS85yTP9ogq_kmVGChz5MQ2GCVxZacD356GMp1097sbjrFbhDUCVfe4riWg1GesQFC6lKThnBUAAktNQJfsKudvgCMj6oLt3uPoeJhm95nMwJMbzBzilL_CPnMfE7chzyl0h8Xl_jD1fzGPnvvhEGw-dhcmJuuSs3x0NphrduHNkN3Nv67Yx9PjbvNSbt-eXzcP27IXQs6llgJM470iJfrGKeU6gdRQh4Ksw0Zq0fTCVJLAalXXqGoyYKRQZJF0Xa3Y3Wm3TzHn5Hy7T2E06adFaJc3WmxPb1S_D11Raw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Some integral relationships for distribution functions of fluids in disordered media</title><source>AIP Digital Archive</source><creator>Madden, William G.</creator><creatorcontrib>Madden, William G.</creatorcontrib><description>The Yvon–Born–Green, Kirkwood and Kirkwood–Salsburg integral equation hierarchies have been obtained for the case of a fluid adsorbed into a host medium made up of immobile particles. Despite earlier work which showed that the Ornstein–Zernicke equations for this situation were fundamentally different from those of a binary equilibrium fluid mixture, the pure-fluid and mixed-fluid-matrix Yvon–Born–Green and Kirkwood–Salsburg equations for the matrix-averaged distribution functions, g(n)f and for g(n)mf, are found to be identical to those for the equilibrium mixture. However, the equilibrium mixture equations for g(n)m do not apply. At present, the Kirkwood equation does not appear in a matrix-averaged form suitable for numerical work. The Kirkwood–Salsburg equations can be used to generate the fundamental graph theory for the problem. In practical calculations, the special role of the matrix enters principally in the closures used to truncate the hierarchy of equations. The standard Kirkwood superposition approximation is appropriate in this application, and circumstances in which practical corrections to the superposition approximation can be employed are considered.</description><identifier>ISSN: 0021-9606</identifier><identifier>EISSN: 1089-7690</identifier><identifier>DOI: 10.1063/1.470179</identifier><language>eng</language><ispartof>The Journal of chemical physics, 1995-11, Vol.103 (18), p.8156-8165</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c227t-9720a5ff8682c5e88eb21656b126de157925c2a3760d98441846a0a7286d16943</citedby><cites>FETCH-LOGICAL-c227t-9720a5ff8682c5e88eb21656b126de157925c2a3760d98441846a0a7286d16943</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><creatorcontrib>Madden, William G.</creatorcontrib><title>Some integral relationships for distribution functions of fluids in disordered media</title><title>The Journal of chemical physics</title><description>The Yvon–Born–Green, Kirkwood and Kirkwood–Salsburg integral equation hierarchies have been obtained for the case of a fluid adsorbed into a host medium made up of immobile particles. Despite earlier work which showed that the Ornstein–Zernicke equations for this situation were fundamentally different from those of a binary equilibrium fluid mixture, the pure-fluid and mixed-fluid-matrix Yvon–Born–Green and Kirkwood–Salsburg equations for the matrix-averaged distribution functions, g(n)f and for g(n)mf, are found to be identical to those for the equilibrium mixture. However, the equilibrium mixture equations for g(n)m do not apply. At present, the Kirkwood equation does not appear in a matrix-averaged form suitable for numerical work. The Kirkwood–Salsburg equations can be used to generate the fundamental graph theory for the problem. In practical calculations, the special role of the matrix enters principally in the closures used to truncate the hierarchy of equations. The standard Kirkwood superposition approximation is appropriate in this application, and circumstances in which practical corrections to the superposition approximation can be employed are considered.</description><issn>0021-9606</issn><issn>1089-7690</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1995</creationdate><recordtype>article</recordtype><recordid>eNotkD9PwzAUxC0EEqEg8RE8sqS85yTP9ogq_kmVGChz5MQ2GCVxZacD356GMp1097sbjrFbhDUCVfe4riWg1GesQFC6lKThnBUAAktNQJfsKudvgCMj6oLt3uPoeJhm95nMwJMbzBzilL_CPnMfE7chzyl0h8Xl_jD1fzGPnvvhEGw-dhcmJuuSs3x0NphrduHNkN3Nv67Yx9PjbvNSbt-eXzcP27IXQs6llgJM470iJfrGKeU6gdRQh4Ksw0Zq0fTCVJLAalXXqGoyYKRQZJF0Xa3Y3Wm3TzHn5Hy7T2E06adFaJc3WmxPb1S_D11Raw</recordid><startdate>19951108</startdate><enddate>19951108</enddate><creator>Madden, William G.</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>19951108</creationdate><title>Some integral relationships for distribution functions of fluids in disordered media</title><author>Madden, William G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c227t-9720a5ff8682c5e88eb21656b126de157925c2a3760d98441846a0a7286d16943</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1995</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Madden, William G.</creatorcontrib><collection>CrossRef</collection><jtitle>The Journal of chemical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Madden, William G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Some integral relationships for distribution functions of fluids in disordered media</atitle><jtitle>The Journal of chemical physics</jtitle><date>1995-11-08</date><risdate>1995</risdate><volume>103</volume><issue>18</issue><spage>8156</spage><epage>8165</epage><pages>8156-8165</pages><issn>0021-9606</issn><eissn>1089-7690</eissn><abstract>The Yvon–Born–Green, Kirkwood and Kirkwood–Salsburg integral equation hierarchies have been obtained for the case of a fluid adsorbed into a host medium made up of immobile particles. Despite earlier work which showed that the Ornstein–Zernicke equations for this situation were fundamentally different from those of a binary equilibrium fluid mixture, the pure-fluid and mixed-fluid-matrix Yvon–Born–Green and Kirkwood–Salsburg equations for the matrix-averaged distribution functions, g(n)f and for g(n)mf, are found to be identical to those for the equilibrium mixture. However, the equilibrium mixture equations for g(n)m do not apply. At present, the Kirkwood equation does not appear in a matrix-averaged form suitable for numerical work. The Kirkwood–Salsburg equations can be used to generate the fundamental graph theory for the problem. In practical calculations, the special role of the matrix enters principally in the closures used to truncate the hierarchy of equations. The standard Kirkwood superposition approximation is appropriate in this application, and circumstances in which practical corrections to the superposition approximation can be employed are considered.</abstract><doi>10.1063/1.470179</doi><tpages>10</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0021-9606
ispartof The Journal of chemical physics, 1995-11, Vol.103 (18), p.8156-8165
issn 0021-9606
1089-7690
language eng
recordid cdi_crossref_primary_10_1063_1_470179
source AIP Digital Archive
title Some integral relationships for distribution functions of fluids in disordered media
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-22T04%3A52%3A37IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Some%20integral%20relationships%20for%20distribution%20functions%20of%20fluids%20in%20disordered%20media&rft.jtitle=The%20Journal%20of%20chemical%20physics&rft.au=Madden,%20William%20G.&rft.date=1995-11-08&rft.volume=103&rft.issue=18&rft.spage=8156&rft.epage=8165&rft.pages=8156-8165&rft.issn=0021-9606&rft.eissn=1089-7690&rft_id=info:doi/10.1063/1.470179&rft_dat=%3Ccrossref%3E10_1063_1_470179%3C/crossref%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true