Electrical conductivity of a monolayer produced by random sequential adsorption of linear k-mers onto a square lattice.
Identifieur interne : 000E90 ( PubMed/Corpus ); précédent : 000E89; suivant : 000E91Electrical conductivity of a monolayer produced by random sequential adsorption of linear k-mers onto a square lattice.
Auteurs : Yuri Yu Tarasevich ; Valeria A. Goltseva ; Valeri V. Laptev ; Nikolai I. LebovkaSource :
- Physical review. E [ 2470-0053 ] ; 2016.
Abstract
The electrical conductivity of a monolayer produced by the random sequential adsorption (RSA) of linear k-mers (particles occupying k adjacent adsorption sites) onto a square lattice was studied by means of computer simulation. Overlapping with predeposited k-mers and detachment from the surface were forbidden. The RSA process continued until the saturation jamming limit, p_{j}. The isotropic (equiprobable orientations of k-mers along x and y axes) and anisotropic (all k-mers aligned along the y axis) depositions for two different models-of an insulating substrate and conducting k-mers (C model) and of a conducting substrate and insulating k-mers (I model)-were examined. The Frank-Lobb algorithm was applied to calculate the electrical conductivity in both the x and y directions for different lengths (k=1 - 128) and concentrations (p=0 - p_{j}) of the k-mers. The "intrinsic electrical conductivity" and concentration dependence of the relative electrical conductivity Σ(p) (Σ=σ/σ_{m} for the C model and Σ=σ_{m}/σ for the I model, where σ_{m} is the electrical conductivity of substrate) in different directions were analyzed. At large values of k the Σ(p) curves became very similar and they almost coincided at k=128. Moreover, for both models the greater the length of the k-mers the smoother the functions Σ_{xy}(p),Σ_{x}(p) and Σ_{y}(p). For the more practically important C model, the other interesting findings are (i) for large values of k (k=64,128), the values of Σ_{xy} and Σ_{y} increase rapidly with the initial increase of p from 0 to 0.1; (ii) for k≥16, all the Σ_{xy}(p) and Σ_{x}(p) curves intersect with each other at the same isoconductivity points; (iii) for anisotropic deposition, the percolation concentrations are the same in the x and y directions, whereas, at the percolation point the greater the length of the k-mers the larger the anisotropy of the electrical conductivity, i.e., the ratio σ_{y}/σ_{x} (>1).
DOI: 10.1103/PhysRevE.94.042112
PubMed: 27841486
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<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Electrical conductivity of a monolayer produced by random sequential adsorption of linear k-mers onto a square lattice.</title><author><name sortKey="Tarasevich, Yuri Yu" sort="Tarasevich, Yuri Yu" uniqKey="Tarasevich Y" first="Yuri Yu" last="Tarasevich">Yuri Yu Tarasevich</name><affiliation><nlm:affiliation>Astrakhan State University, Astrakhan, Russia.</nlm:affiliation></affiliation></author><author><name sortKey="Goltseva, Valeria A" sort="Goltseva, Valeria A" uniqKey="Goltseva V" first="Valeria A" last="Goltseva">Valeria A. Goltseva</name><affiliation><nlm:affiliation>Astrakhan State University, Astrakhan, Russia.</nlm:affiliation></affiliation></author><author><name sortKey="Laptev, Valeri V" sort="Laptev, Valeri V" uniqKey="Laptev V" first="Valeri V" last="Laptev">Valeri V. Laptev</name><affiliation><nlm:affiliation>Astrakhan State University, Astrakhan, Russia and Astrakhan State Technical University, Astrakhan, Russia.</nlm:affiliation></affiliation></author><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>F.D. Ovcharenko Institute of Biocolloidal Chemistry, NAS of Ukraine, Kiev, Ukraine and Taras Shevchenko Kiev National University, Department of Physics, Kiev, Ukraine.</nlm:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PubMed</idno><date when="2016">2016</date><idno type="RBID">pubmed:27841486</idno><idno type="pmid">27841486</idno><idno type="doi">10.1103/PhysRevE.94.042112</idno><idno type="wicri:Area/PubMed/Corpus">000E90</idno><idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Corpus" wicri:corpus="PubMed">000E90</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Electrical conductivity of a monolayer produced by random sequential adsorption of linear k-mers onto a square lattice.</title><author><name sortKey="Tarasevich, Yuri Yu" sort="Tarasevich, Yuri Yu" uniqKey="Tarasevich Y" first="Yuri Yu" last="Tarasevich">Yuri Yu Tarasevich</name><affiliation><nlm:affiliation>Astrakhan State University, Astrakhan, Russia.</nlm:affiliation></affiliation></author><author><name sortKey="Goltseva, Valeria A" sort="Goltseva, Valeria A" uniqKey="Goltseva V" first="Valeria A" last="Goltseva">Valeria A. Goltseva</name><affiliation><nlm:affiliation>Astrakhan State University, Astrakhan, Russia.</nlm:affiliation></affiliation></author><author><name sortKey="Laptev, Valeri V" sort="Laptev, Valeri V" uniqKey="Laptev V" first="Valeri V" last="Laptev">Valeri V. Laptev</name><affiliation><nlm:affiliation>Astrakhan State University, Astrakhan, Russia and Astrakhan State Technical University, Astrakhan, Russia.</nlm:affiliation></affiliation></author><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>F.D. Ovcharenko Institute of Biocolloidal Chemistry, NAS of Ukraine, Kiev, Ukraine and Taras Shevchenko Kiev National University, Department of Physics, Kiev, Ukraine.</nlm:affiliation></affiliation></author></analytic><series><title level="j">Physical review. E</title><idno type="eISSN">2470-0053</idno><imprint><date when="2016" type="published">2016</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The electrical conductivity of a monolayer produced by the random sequential adsorption (RSA) of linear k-mers (particles occupying k adjacent adsorption sites) onto a square lattice was studied by means of computer simulation. Overlapping with predeposited k-mers and detachment from the surface were forbidden. The RSA process continued until the saturation jamming limit, p_{j}. The isotropic (equiprobable orientations of k-mers along x and y axes) and anisotropic (all k-mers aligned along the y axis) depositions for two different models-of an insulating substrate and conducting k-mers (C model) and of a conducting substrate and insulating k-mers (I model)-were examined. The Frank-Lobb algorithm was applied to calculate the electrical conductivity in both the x and y directions for different lengths (k=1 - 128) and concentrations (p=0 - p_{j}) of the k-mers. The "intrinsic electrical conductivity" and concentration dependence of the relative electrical conductivity Σ(p) (Σ=σ/σ_{m} for the C model and Σ=σ_{m}/σ for the I model, where σ_{m} is the electrical conductivity of substrate) in different directions were analyzed. At large values of k the Σ(p) curves became very similar and they almost coincided at k=128. Moreover, for both models the greater the length of the k-mers the smoother the functions Σ_{xy}(p),Σ_{x}(p) and Σ_{y}(p). For the more practically important C model, the other interesting findings are (i) for large values of k (k=64,128), the values of Σ_{xy} and Σ_{y} increase rapidly with the initial increase of p from 0 to 0.1; (ii) for k≥16, all the Σ_{xy}(p) and Σ_{x}(p) curves intersect with each other at the same isoconductivity points; (iii) for anisotropic deposition, the percolation concentrations are the same in the x and y directions, whereas, at the percolation point the greater the length of the k-mers the larger the anisotropy of the electrical conductivity, i.e., the ratio σ_{y}/σ_{x} (>1).</div></front></TEI><pubmed><MedlineCitation Status="PubMed-not-MEDLINE" Owner="NLM"><PMID Version="1">27841486</PMID><DateCompleted><Year>2018</Year><Month>07</Month><Day>09</Day></DateCompleted><DateRevised><Year>2018</Year><Month>07</Month><Day>09</Day></DateRevised><Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Electronic">2470-0053</ISSN><JournalIssue CitedMedium="Internet"><Volume>94</Volume><Issue>4-1</Issue><PubDate><Year>2016</Year><Month>Oct</Month></PubDate></JournalIssue><Title>Physical review. E</Title><ISOAbbreviation>Phys Rev E</ISOAbbreviation></Journal><ArticleTitle>Electrical conductivity of a monolayer produced by random sequential adsorption of linear k-mers onto a square lattice.</ArticleTitle><Pagination><MedlinePgn>042112</MedlinePgn></Pagination><Abstract><AbstractText>The electrical conductivity of a monolayer produced by the random sequential adsorption (RSA) of linear k-mers (particles occupying k adjacent adsorption sites) onto a square lattice was studied by means of computer simulation. Overlapping with predeposited k-mers and detachment from the surface were forbidden. The RSA process continued until the saturation jamming limit, p_{j}. The isotropic (equiprobable orientations of k-mers along x and y axes) and anisotropic (all k-mers aligned along the y axis) depositions for two different models-of an insulating substrate and conducting k-mers (C model) and of a conducting substrate and insulating k-mers (I model)-were examined. The Frank-Lobb algorithm was applied to calculate the electrical conductivity in both the x and y directions for different lengths (k=1 - 128) and concentrations (p=0 - p_{j}) of the k-mers. The "intrinsic electrical conductivity" and concentration dependence of the relative electrical conductivity Σ(p) (Σ=σ/σ_{m} for the C model and Σ=σ_{m}/σ for the I model, where σ_{m} is the electrical conductivity of substrate) in different directions were analyzed. At large values of k the Σ(p) curves became very similar and they almost coincided at k=128. Moreover, for both models the greater the length of the k-mers the smoother the functions Σ_{xy}(p),Σ_{x}(p) and Σ_{y}(p). For the more practically important C model, the other interesting findings are (i) for large values of k (k=64,128), the values of Σ_{xy} and Σ_{y} increase rapidly with the initial increase of p from 0 to 0.1; (ii) for k≥16, all the Σ_{xy}(p) and Σ_{x}(p) curves intersect with each other at the same isoconductivity points; (iii) for anisotropic deposition, the percolation concentrations are the same in the x and y directions, whereas, at the percolation point the greater the length of the k-mers the larger the anisotropy of the electrical conductivity, i.e., the ratio σ_{y}/σ_{x} (>1).</AbstractText></Abstract><AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Tarasevich</LastName><ForeName>Yuri Yu</ForeName><Initials>YY</Initials><AffiliationInfo><Affiliation>Astrakhan State University, Astrakhan, Russia.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Goltseva</LastName><ForeName>Valeria A</ForeName><Initials>VA</Initials><AffiliationInfo><Affiliation>Astrakhan State University, Astrakhan, Russia.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Laptev</LastName><ForeName>Valeri V</ForeName><Initials>VV</Initials><AffiliationInfo><Affiliation>Astrakhan State University, Astrakhan, Russia and Astrakhan State Technical University, Astrakhan, Russia.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Lebovka</LastName><ForeName>Nikolai I</ForeName><Initials>NI</Initials><AffiliationInfo><Affiliation>F.D. Ovcharenko Institute of Biocolloidal Chemistry, NAS of Ukraine, Kiev, Ukraine and Taras Shevchenko Kiev National University, Department of Physics, Kiev, Ukraine.</Affiliation></AffiliationInfo></Author></AuthorList><Language>eng</Language><PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType></PublicationTypeList><ArticleDate DateType="Electronic"><Year>2016</Year><Month>10</Month><Day>11</Day></ArticleDate></Article><MedlineJournalInfo><Country>United States</Country><MedlineTA>Phys Rev E</MedlineTA><NlmUniqueID>101676019</NlmUniqueID><ISSNLinking>2470-0045</ISSNLinking></MedlineJournalInfo></MedlineCitation><PubmedData><History><PubMedPubDate PubStatus="received"><Year>2016</Year><Month>07</Month><Day>28</Day></PubMedPubDate><PubMedPubDate PubStatus="entrez"><Year>2016</Year><Month>11</Month><Day>15</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="pubmed"><Year>2016</Year><Month>11</Month><Day>15</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="medline"><Year>2016</Year><Month>11</Month><Day>15</Day><Hour>6</Hour><Minute>1</Minute></PubMedPubDate></History><PublicationStatus>ppublish</PublicationStatus><ArticleIdList><ArticleId IdType="pubmed">27841486</ArticleId><ArticleId IdType="doi">10.1103/PhysRevE.94.042112</ArticleId></ArticleIdList></PubmedData></pubmed></record>Pour manipuler ce document sous Unix (Dilib)
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