MersV1, Main, Exploration, bibRecord, 000D28

Jamming for nematic deposition in the presence of impurities.

Identifieur interne : 000D28 ( Main/Exploration ); précédent : 000D27; suivant : 000D29

Jamming for nematic deposition in the presence of impurities.

Auteurs : E E Vogel [Chili] ; J F Valdes [Chili] ; W. Lebrecht [Chili] ; A J Ramirez-Pastor [Argentine] ; P. Centres [Argentine]

Source :

Physical review. E [ 2470-0053 ] ; 2017.

RBID : pubmed:28297993

Abstract

The deposition of one-dimensional objects (such as polymers) on a one-dimensional lattice with the presence of impurities is studied in order to find saturation conditions in what is known as jamming. Over a critical concentration of k-mers (polymers of length k), no further depositions are possible. Five different nematic (directional) depositions are considered: baseline, irreversible, configurational, loose-packing, and close-packing. Correspondingly, five jamming functions are found, and their dependencies on the length of the lattice, L, the concentration of impurities, p=M/L (where M is the number of one-dimensional impurities), and the length of the k-mer (k) are established. In parallel, numeric simulations are performed to compare with the theoretical results. The emphasis is on trimers (k=3) and p in the range [0.01,0.15], however other related cases are also considered and reported.

DOI: 10.1103/PhysRevE.95.022120
PubMed: 28297993

Affiliations:

Argentine, Chili

Le document en format XML

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<front><div type="abstract" xml:lang="en">The deposition of one-dimensional objects (such as polymers) on a one-dimensional lattice with the presence of impurities is studied in order to find saturation conditions in what is known as jamming. Over a critical concentration of k-mers (polymers of length k), no further depositions are possible. Five different nematic (directional) depositions are considered: baseline, irreversible, configurational, loose-packing, and close-packing. Correspondingly, five jamming functions are found, and their dependencies on the length of the lattice, L, the concentration of impurities, p=M/L (where M is the number of one-dimensional impurities), and the length of the k-mer (k) are established. In parallel, numeric simulations are performed to compare with the theoretical results. The emphasis is on trimers (k=3) and p in the range [0.01,0.15], however other related cases are also considered and reported.</div>
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Jamming for nematic deposition in the presence of impurities.

Jamming for nematic deposition in the presence of impurities.

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Abstract

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