Jamming and percolation in generalized models of random sequential adsorption of linear k-mers on a square lattice.
Identifieur interne : 001734 ( Main/Exploration ); précédent : 001733; suivant : 001735Jamming and percolation in generalized models of random sequential adsorption of linear k-mers on a square lattice.
Auteurs : Nikolai I. Lebovka [Ukraine] ; Yuri Yu Tarasevich [Russie] ; Dmitri O. Dubinin [Russie] ; Valeri V. Laptev [Russie] ; Nikolai V. Vygornitskii [Ukraine]Source :
- Physical review. E, Statistical, nonlinear, and soft matter physics [ 1550-2376 ] ; 2015.
Abstract
The jamming and percolation for two generalized models of random sequential adsorption (RSA) of linear k-mers (particles occupying k adjacent sites) on a square lattice are studied by means of Monte Carlo simulation. The classical RSA model assumes the absence of overlapping of the new incoming particle with the previously deposited ones. The first model is a generalized variant of the RSA model for both k-mers and a lattice with defects. Some of the occupying k adjacent sites are considered as insulating and some of the lattice sites are occupied by defects (impurities). For this model even a small concentration of defects can inhibit percolation for relatively long k-mers. The second model is the cooperative sequential adsorption one where, for each new k-mer, only a restricted number of lateral contacts z with previously deposited k-mers is allowed. Deposition occurs in the case when z≤(1-d)z(m) where z(m)=2(k+1) is the maximum numbers of the contacts of k-mer, and d is the fraction of forbidden contacts. Percolation is observed only at some interval k(min)≤k≤k(max) where the values k(min) and k(max) depend upon the fraction of forbidden contacts d. The value k(max) decreases as d increases. A logarithmic dependence of the type log(10)(k(max))=a+bd, where a=4.04±0.22,b=-4.93±0.57, is obtained.
DOI: 10.1103/PhysRevE.92.062116
PubMed: 26764641
Affiliations:
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Lebovka</name><affiliation wicri:level="1"><nlm:affiliation>Institute of Biocolloidal Chemistry named after F.D. Ovcharenko, NAS of Ukraine, Kiev, Ukraine and Taras Shevchenko Kiev National University, Department of Physics, Kiev, Ukraine.</nlm:affiliation><country xml:lang="fr">Ukraine</country><wicri:regionArea>Institute of Biocolloidal Chemistry named after F.D. 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Ovcharenko, NAS of Ukraine, Kiev</wicri:regionArea><wicri:noRegion>Kiev</wicri:noRegion></affiliation></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="2015" type="published">2015</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The jamming and percolation for two generalized models of random sequential adsorption (RSA) of linear k-mers (particles occupying k adjacent sites) on a square lattice are studied by means of Monte Carlo simulation. The classical RSA model assumes the absence of overlapping of the new incoming particle with the previously deposited ones. The first model is a generalized variant of the RSA model for both k-mers and a lattice with defects. Some of the occupying k adjacent sites are considered as insulating and some of the lattice sites are occupied by defects (impurities). For this model even a small concentration of defects can inhibit percolation for relatively long k-mers. The second model is the cooperative sequential adsorption one where, for each new k-mer, only a restricted number of lateral contacts z with previously deposited k-mers is allowed. Deposition occurs in the case when z≤(1-d)z(m) where z(m)=2(k+1) is the maximum numbers of the contacts of k-mer, and d is the fraction of forbidden contacts. Percolation is observed only at some interval k(min)≤k≤k(max) where the values k(min) and k(max) depend upon the fraction of forbidden contacts d. The value k(max) decreases as d increases. A logarithmic dependence of the type log(10)(k(max))=a+bd, where a=4.04±0.22,b=-4.93±0.57, is obtained.</div></front></TEI><affiliations><list><country><li>Russie</li><li>Ukraine</li></country></list><tree><country name="Ukraine"><noRegion><name sortKey="Lebovka, Nikolai I" sort="Lebovka, Nikolai I" uniqKey="Lebovka N" first="Nikolai I" last="Lebovka">Nikolai I. Lebovka</name></noRegion><name sortKey="Vygornitskii, Nikolai V" sort="Vygornitskii, Nikolai V" uniqKey="Vygornitskii N" first="Nikolai V" last="Vygornitskii">Nikolai V. Vygornitskii</name></country><country name="Russie"><noRegion><name sortKey="Tarasevich, Yuri Yu" sort="Tarasevich, Yuri Yu" uniqKey="Tarasevich Y" first="Yuri Yu" last="Tarasevich">Yuri Yu Tarasevich</name></noRegion><name sortKey="Dubinin, Dmitri O" sort="Dubinin, Dmitri O" uniqKey="Dubinin D" first="Dmitri O" last="Dubinin">Dmitri O. Dubinin</name><name sortKey="Laptev, Valeri V" sort="Laptev, Valeri V" uniqKey="Laptev V" first="Valeri V" last="Laptev">Valeri V. Laptev</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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