Random sequential adsorption of partially oriented linear k-mers on a square lattice.
Identifieur interne : 001E09 ( PubMed/Corpus ); précédent : 001E08; suivant : 001E10Random sequential adsorption of partially oriented linear k-mers on a square lattice.
Auteurs : Nikolai I. Lebovka ; Natalia N. Karmazina ; Yuri Yu Tarasevich ; Valeri V. LaptevSource :
- Physical review. E, Statistical, nonlinear, and soft matter physics [ 1550-2376 ] ; 2011.
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Abstract
Jamming phenomena on a square lattice are investigated for two different models of anisotropic random sequential adsorption (RSA) of linear k-mers (particles occupying k adjacent adsorption sites along a line). The length of a k-mer varies from 2 to 256. The effect of k-mer alignment on the jamming threshold is examined. For completely ordered systems where all the k-mers are aligned along one direction (e.g., vertical), the obtained simulation data are very close to the known analytical results for one-dimensional systems. In particular, the jamming threshold tends to the Rényi's parking constant for large k. In the other extreme case, when k-mers are fully disordered, our results correspond to the published results for short k-mers. It was observed that for partially oriented systems the jamming configurations consist of the blocks of vertically and horizontally oriented k-mers (v and h blocks, respectively) and large voids between them. The relative areas of different blocks and voids depend on the order parameter s, k-mer length, and type of the model. For small k-mers (k⩽4), denser configurations are observed in disordered systems as compared to those of completely ordered systems. However, longer k-mers exhibit the opposite behavior.
DOI: 10.1103/PhysRevE.84.061603
PubMed: 22304098
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Laptev</name></author></titleStmt><publicationStmt><idno type="wicri:source">PubMed</idno><date when="2011">2011</date><idno type="RBID">pubmed:22304098</idno><idno type="pmid">22304098</idno><idno type="doi">10.1103/PhysRevE.84.061603</idno><idno type="wicri:Area/PubMed/Corpus">001E09</idno><idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Corpus" wicri:corpus="PubMed">001E09</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Random sequential adsorption of partially oriented linear k-mers on a square lattice.</title><author><name sortKey="Lebovka, Nikolai I" sort="Lebovka, Nikolai I" uniqKey="Lebovka N" first="Nikolai I" last="Lebovka">Nikolai I. Lebovka</name><affiliation><nlm:affiliation>Institute of Biocolloidal Chemistry named after FD Ovcharenko, NAS of Ukraine, 42 Boulevard Vernadskogo, 03142 Kiev, Ukraine. lebovka@gmail.com</nlm:affiliation></affiliation></author><author><name sortKey="Karmazina, Natalia N" sort="Karmazina, Natalia N" uniqKey="Karmazina N" first="Natalia N" last="Karmazina">Natalia N. Karmazina</name></author><author><name sortKey="Tarasevich, Yuri Yu" sort="Tarasevich, Yuri Yu" uniqKey="Tarasevich Y" first="Yuri Yu" last="Tarasevich">Yuri Yu Tarasevich</name></author><author><name sortKey="Laptev, Valeri V" sort="Laptev, Valeri V" uniqKey="Laptev V" first="Valeri V" last="Laptev">Valeri V. Laptev</name></author></analytic><series><title level="j">Physical review. E, Statistical, nonlinear, and soft matter physics</title><idno type="eISSN">1550-2376</idno><imprint><date when="2011" type="published">2011</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Adsorption</term><term>Anisotropy</term><term>Models, Molecular</term><term>Molecular Conformation</term><term>Probability</term></keywords><keywords scheme="MESH" xml:lang="en"><term>Adsorption</term><term>Anisotropy</term><term>Models, Molecular</term><term>Molecular Conformation</term><term>Probability</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Jamming phenomena on a square lattice are investigated for two different models of anisotropic random sequential adsorption (RSA) of linear k-mers (particles occupying k adjacent adsorption sites along a line). The length of a k-mer varies from 2 to 256. The effect of k-mer alignment on the jamming threshold is examined. For completely ordered systems where all the k-mers are aligned along one direction (e.g., vertical), the obtained simulation data are very close to the known analytical results for one-dimensional systems. In particular, the jamming threshold tends to the Rényi's parking constant for large k. In the other extreme case, when k-mers are fully disordered, our results correspond to the published results for short k-mers. It was observed that for partially oriented systems the jamming configurations consist of the blocks of vertically and horizontally oriented k-mers (v and h blocks, respectively) and large voids between them. The relative areas of different blocks and voids depend on the order parameter s, k-mer length, and type of the model. For small k-mers (k⩽4), denser configurations are observed in disordered systems as compared to those of completely ordered systems. However, longer k-mers exhibit the opposite behavior.</div></front></TEI><pubmed><MedlineCitation Status="MEDLINE" Owner="NLM"><PMID Version="1">22304098</PMID><DateCompleted><Year>2012</Year><Month>04</Month><Day>25</Day></DateCompleted><DateRevised><Year>2012</Year><Month>05</Month><Day>10</Day></DateRevised><Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Electronic">1550-2376</ISSN><JournalIssue CitedMedium="Internet"><Volume>84</Volume><Issue>6 Pt 1</Issue><PubDate><Year>2011</Year><Month>Dec</Month></PubDate></JournalIssue><Title>Physical review. E, Statistical, nonlinear, and soft matter physics</Title><ISOAbbreviation>Phys Rev E Stat Nonlin Soft Matter Phys</ISOAbbreviation></Journal><ArticleTitle>Random sequential adsorption of partially oriented linear k-mers on a square lattice.</ArticleTitle><Pagination><MedlinePgn>061603</MedlinePgn></Pagination><Abstract><AbstractText>Jamming phenomena on a square lattice are investigated for two different models of anisotropic random sequential adsorption (RSA) of linear k-mers (particles occupying k adjacent adsorption sites along a line). The length of a k-mer varies from 2 to 256. The effect of k-mer alignment on the jamming threshold is examined. For completely ordered systems where all the k-mers are aligned along one direction (e.g., vertical), the obtained simulation data are very close to the known analytical results for one-dimensional systems. In particular, the jamming threshold tends to the Rényi's parking constant for large k. In the other extreme case, when k-mers are fully disordered, our results correspond to the published results for short k-mers. It was observed that for partially oriented systems the jamming configurations consist of the blocks of vertically and horizontally oriented k-mers (v and h blocks, respectively) and large voids between them. The relative areas of different blocks and voids depend on the order parameter s, k-mer length, and type of the model. For small k-mers (k⩽4), denser configurations are observed in disordered systems as compared to those of completely ordered systems. However, longer k-mers exhibit the opposite behavior.</AbstractText></Abstract><AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Lebovka</LastName><ForeName>Nikolai I</ForeName><Initials>NI</Initials><AffiliationInfo><Affiliation>Institute of Biocolloidal Chemistry named after FD Ovcharenko, NAS of Ukraine, 42 Boulevard Vernadskogo, 03142 Kiev, Ukraine. lebovka@gmail.com</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Karmazina</LastName><ForeName>Natalia N</ForeName><Initials>NN</Initials></Author><Author ValidYN="Y"><LastName>Tarasevich</LastName><ForeName>Yuri Yu</ForeName><Initials>YY</Initials></Author><Author ValidYN="Y"><LastName>Laptev</LastName><ForeName>Valeri V</ForeName><Initials>VV</Initials></Author></AuthorList><Language>eng</Language><PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType><PublicationType UI="D013485">Research Support, Non-U.S. Gov't</PublicationType></PublicationTypeList><ArticleDate DateType="Electronic"><Year>2011</Year><Month>12</Month><Day>16</Day></ArticleDate></Article><MedlineJournalInfo><Country>United States</Country><MedlineTA>Phys Rev E Stat Nonlin Soft Matter Phys</MedlineTA><NlmUniqueID>101136452</NlmUniqueID><ISSNLinking>1539-3755</ISSNLinking></MedlineJournalInfo><CitationSubset>IM</CitationSubset><CommentsCorrectionsList><CommentsCorrections RefType="ErratumIn"><RefSource>Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Feb;85(2 Pt 2):029902</RefSource></CommentsCorrections></CommentsCorrectionsList><MeshHeadingList><MeshHeading><DescriptorName UI="D000327" MajorTopicYN="N">Adsorption</DescriptorName></MeshHeading><MeshHeading><DescriptorName UI="D016880" MajorTopicYN="N">Anisotropy</DescriptorName></MeshHeading><MeshHeading><DescriptorName UI="D008958" MajorTopicYN="Y">Models, Molecular</DescriptorName></MeshHeading><MeshHeading><DescriptorName UI="D008968" MajorTopicYN="N">Molecular Conformation</DescriptorName></MeshHeading><MeshHeading><DescriptorName UI="D011336" MajorTopicYN="N">Probability</DescriptorName></MeshHeading></MeshHeadingList></MedlineCitation><PubmedData><History><PubMedPubDate PubStatus="received"><Year>2011</Year><Month>09</Month><Day>15</Day></PubMedPubDate><PubMedPubDate PubStatus="entrez"><Year>2012</Year><Month>2</Month><Day>7</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="pubmed"><Year>2012</Year><Month>2</Month><Day>7</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="medline"><Year>2012</Year><Month>4</Month><Day>26</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate></History><PublicationStatus>ppublish</PublicationStatus><ArticleIdList><ArticleId IdType="pubmed">22304098</ArticleId><ArticleId IdType="doi">10.1103/PhysRevE.84.061603</ArticleId></ArticleIdList></PubmedData></pubmed></record>Pour manipuler ce document sous Unix (Dilib)
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