Phase coexistence and spatial correlations in reconstituting k-mer models.
Identifieur interne : 001073 ( Main/Exploration ); précédent : 001072; suivant : 001074Phase 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
Affiliations:
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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><affiliations><list><country><li>Inde</li></country></list><tree><country name="Inde"><noRegion><name sortKey="Chatterjee, Amit Kumar" sort="Chatterjee, Amit Kumar" uniqKey="Chatterjee A" first="Amit Kumar" last="Chatterjee">Amit Kumar Chatterjee</name></noRegion><name sortKey="Daga, Bijoy" sort="Daga, Bijoy" uniqKey="Daga B" first="Bijoy" last="Daga">Bijoy Daga</name><name sortKey="Mohanty, P K" sort="Mohanty, P K" uniqKey="Mohanty P" first="P K" last="Mohanty">P K Mohanty</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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