Phase coexistence and spatial correlations in reconstituting k-mer models.
Identifieur interne : 000F89 ( PubMed/Curation ); précédent : 000F88; suivant : 000F90Phase coexistence and spatial correlations in reconstituting k-mer models.
Auteurs : Amit Kumar Chatterjee [Inde] ; Bijoy Daga [Inde] ; P K Mohanty [Inde]Source :
- Physical review. E [ 2470-0053 ] ; 2016.
Abstract
In reconstituting k-mer models, extended objects that occupy several sites on a one-dimensional lattice undergo directed or undirected diffusion, and reconstitute-when in contact-by transferring a single monomer unit from one k-mer to the other; the rates depend on the size of participating k-mers. This polydispersed system has two conserved quantities, the number of k-mers and the packing fraction. We provide a matrix product method to write the steady state of this model and to calculate the spatial correlation functions analytically. We show that for a constant reconstitution rate, the spatial correlation exhibits damped oscillations in some density regions separated, from other regions with exponential decay, by a disorder surface. In a specific limit, this constant-rate reconstitution model is equivalent to a single dimer model and exhibits a phase coexistence similar to the one observed earlier in totally asymmetric simple exclusion process on a ring with a defect.
DOI: 10.1103/PhysRevE.94.012121
PubMed: 27575091
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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">In reconstituting k-mer models, extended objects that occupy several sites on a one-dimensional lattice undergo directed or undirected diffusion, and reconstitute-when in contact-by transferring a single monomer unit from one k-mer to the other; the rates depend on the size of participating k-mers. This polydispersed system has two conserved quantities, the number of k-mers and the packing fraction. We provide a matrix product method to write the steady state of this model and to calculate the spatial correlation functions analytically. We show that for a constant reconstitution rate, the spatial correlation exhibits damped oscillations in some density regions separated, from other regions with exponential decay, by a disorder surface. In a specific limit, this constant-rate reconstitution model is equivalent to a single dimer model and exhibits a phase coexistence similar to the one observed earlier in totally asymmetric simple exclusion process on a ring with a defect. </div></front></TEI><pubmed><MedlineCitation Status="PubMed-not-MEDLINE" Owner="NLM"><PMID Version="1">27575091</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>1-1</Issue><PubDate><Year>2016</Year><Month>Jul</Month></PubDate></JournalIssue><Title>Physical review. E</Title><ISOAbbreviation>Phys Rev E</ISOAbbreviation></Journal><ArticleTitle>Phase coexistence and spatial correlations in reconstituting k-mer models.</ArticleTitle><Pagination><MedlinePgn>012121</MedlinePgn></Pagination><ELocationID EIdType="doi" ValidYN="Y">10.1103/PhysRevE.94.012121</ELocationID><Abstract><AbstractText>In reconstituting k-mer models, extended objects that occupy several sites on a one-dimensional lattice undergo directed or undirected diffusion, and reconstitute-when in contact-by transferring a single monomer unit from one k-mer to the other; the rates depend on the size of participating k-mers. This polydispersed system has two conserved quantities, the number of k-mers and the packing fraction. We provide a matrix product method to write the steady state of this model and to calculate the spatial correlation functions analytically. We show that for a constant reconstitution rate, the spatial correlation exhibits damped oscillations in some density regions separated, from other regions with exponential decay, by a disorder surface. In a specific limit, this constant-rate reconstitution model is equivalent to a single dimer model and exhibits a phase coexistence similar to the one observed earlier in totally asymmetric simple exclusion process on a ring with a defect. </AbstractText></Abstract><AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Chatterjee</LastName><ForeName>Amit Kumar</ForeName><Initials>AK</Initials><AffiliationInfo><Affiliation>Condensed Matter Physics Division, Saha Institute of Nuclear Physics,1/AF Bidhan Nagar, Kolkata 700064, India.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Daga</LastName><ForeName>Bijoy</ForeName><Initials>B</Initials><AffiliationInfo><Affiliation>Condensed Matter Physics Division, Saha Institute of Nuclear Physics,1/AF Bidhan Nagar, Kolkata 700064, India.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Mohanty</LastName><ForeName>P K</ForeName><Initials>PK</Initials><AffiliationInfo><Affiliation>Condensed Matter Physics Division, Saha Institute of Nuclear Physics,1/AF Bidhan Nagar, Kolkata 700064, India.</Affiliation></AffiliationInfo></Author></AuthorList><Language>eng</Language><PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType></PublicationTypeList><ArticleDate DateType="Electronic"><Year>2016</Year><Month>07</Month><Day>18</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>05</Month><Day>17</Day></PubMedPubDate><PubMedPubDate PubStatus="entrez"><Year>2016</Year><Month>8</Month><Day>31</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="pubmed"><Year>2016</Year><Month>8</Month><Day>31</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="medline"><Year>2016</Year><Month>8</Month><Day>31</Day><Hour>6</Hour><Minute>1</Minute></PubMedPubDate></History><PublicationStatus>ppublish</PublicationStatus><ArticleIdList><ArticleId IdType="pubmed">27575091</ArticleId><ArticleId IdType="doi">10.1103/PhysRevE.94.012121</ArticleId></ArticleIdList></PubmedData></pubmed></record>Pour manipuler ce document sous Unix (Dilib)
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