MersV1, Main, Exploration, bibRecord, 002433

Simulation study of anisotropic random sequential adsorption of extended objects on a triangular lattice.

Identifieur interne : 002433 ( Main/Exploration ); précédent : 002432; suivant : 002434

Simulation study of anisotropic random sequential adsorption of extended objects on a triangular lattice.

Auteurs : Lj Budinski-Petkovi [Serbie] ; I. Lon Arevi ; Z M Jakši ; S B Vrhovac ; N M Svraki

Source :

Physical review. E, Statistical, nonlinear, and soft matter physics [ 1550-2376 ] ; 2011.

RBID : pubmed:22181424

Descripteurs français

KwdFr :
- Adsorption, Anisotropie, Facteurs temps, Modèles théoriques, Probabilité, Processus stochastiques.
MESH :
- Adsorption, Anisotropie, Facteurs temps, Modèles théoriques, Probabilité, Processus stochastiques.

English descriptors

KwdEn :
- Adsorption, Anisotropy, Models, Theoretical, Probability, Stochastic Processes, Time Factors.
MESH :
- Adsorption, Anisotropy, Models, Theoretical, Probability, Stochastic Processes, Time Factors.

Abstract

The properties of the anisotropic random sequential adsorption (RSA) of objects of various shapes on a two-dimensional triangular lattice are studied numerically by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding lattice steps, whereby the first step determines the orientation of the object. Anisotropy is introduced by positing unequal probabilities for orientation of depositing objects along different directions of the lattice. This probability is equal p or (1-p)/2, depending on whether the randomly chosen orientation is horizontal or not, respectively. Approach of the coverage θ(t) to the jamming limit θ(jam) is found to be exponential θ(jam)-θ(t)is proportional to exp(-t/σ), for all probabilities p. It was shown that the relaxation time σ increases with the degree of anisotropy in the case of elongated and asymmetrical shapes. However, for rounded and symmetrical shapes, values of σ and θ(jam) are not affected by the presence of anisotropy. We finally analyze the properties of the anisotropic RSA of polydisperse mixtures of k-mers. Strong dependencies of the parameter σ and the jamming coverage θ(jam) on the degree of anisotropy are obtained. It is found that anisotropic constraints lead to the increased contribution of the longer k-mers in the total coverage fraction of the mixture.

DOI: 10.1103/PhysRevE.84.051601
PubMed: 22181424

Affiliations:

Serbie

Le document en format XML

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<term>Stochastic Processes</term>
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<front><div type="abstract" xml:lang="en">The properties of the anisotropic random sequential adsorption (RSA) of objects of various shapes on a two-dimensional triangular lattice are studied numerically by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding lattice steps, whereby the first step determines the orientation of the object. Anisotropy is introduced by positing unequal probabilities for orientation of depositing objects along different directions of the lattice. This probability is equal p or (1-p)/2, depending on whether the randomly chosen orientation is horizontal or not, respectively. Approach of the coverage θ(t) to the jamming limit θ(jam) is found to be exponential θ(jam)-θ(t)is proportional to exp(-t/σ), for all probabilities p. It was shown that the relaxation time σ increases with the degree of anisotropy in the case of elongated and asymmetrical shapes. However, for rounded and symmetrical shapes, values of σ and θ(jam) are not affected by the presence of anisotropy. We finally analyze the properties of the anisotropic RSA of polydisperse mixtures of k-mers. Strong dependencies of the parameter σ and the jamming coverage θ(jam) on the degree of anisotropy are obtained. It is found that anisotropic constraints lead to the increased contribution of the longer k-mers in the total coverage fraction of the mixture.</div>
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Simulation study of anisotropic random sequential adsorption of extended objects on a triangular lattice.

Simulation study of anisotropic random sequential adsorption of extended objects on a triangular lattice.

Source :

Descripteurs français

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri

Pour générer des pages wiki

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