MersV1, Main, Exploration, bibRecord, 002642

Directed d -mer diffusion describing the Kardar-Parisi-Zhang-type surface growth.

Identifieur interne : 002642 ( Main/Exploration ); précédent : 002641; suivant : 002643

Directed d -mer diffusion describing the Kardar-Parisi-Zhang-type surface growth.

Auteurs : Géza Odor [Hongrie] ; Bartosz Liedke ; Karl-Heinz Heinig

Source :

Physical review. E, Statistical, nonlinear, and soft matter physics [ 1550-2376 ] ; 2010.

RBID : pubmed:20365702

Descripteurs français

KwdFr :
- Cristallisation (), Diffusion, Modèles chimiques, Modèles statistiques, Processus stochastiques, Simulation numérique.
MESH :
- Cristallisation, Diffusion, Modèles chimiques, Modèles statistiques, Processus stochastiques, Simulation numérique.

English descriptors

KwdEn :
- Computer Simulation, Crystallization (methods), Diffusion, Models, Chemical, Models, Statistical, Stochastic Processes.
MESH :
- methods : Crystallization.
- Computer Simulation, Diffusion, Models, Chemical, Models, Statistical, Stochastic Processes.

Abstract

We show that d+1-dimensional surface growth models can be mapped onto driven lattice gases of d-mers. The continuous surface growth corresponds to one dimensional drift of d-mers perpendicular to the (d-1-dimensional "plane" spanned by the d-mers. This facilitates efficient bit-coded algorithms with generalized Kawasaki dynamics of spins. Our simulations in d=2, 3, 4, 5 dimensions provide scaling exponent estimates on much larger system sizes and simulations times published so far, where the effective growth exponent exhibits an increase. We provide evidence for the agreement with field theoretical predictions of the Kardar-Parisi-Zhang universality class and numerical results. We show that the (2+1)-dimensional exponents conciliate with the values suggested by Lässig within error margin, for the largest system sizes studied here, but we cannot support his predictions for (3+1)d numerically.

DOI: 10.1103/PhysRevE.81.031112
PubMed: 20365702

Affiliations:

Hongrie

Le document en format XML

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<author><name sortKey="Liedke, Bartosz" sort="Liedke, Bartosz" uniqKey="Liedke B" first="Bartosz" last="Liedke">Bartosz Liedke</name>
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<front><div type="abstract" xml:lang="en">We show that d+1-dimensional surface growth models can be mapped onto driven lattice gases of d-mers. The continuous surface growth corresponds to one dimensional drift of d-mers perpendicular to the (d-1-dimensional "plane" spanned by the d-mers. This facilitates efficient bit-coded algorithms with generalized Kawasaki dynamics of spins. Our simulations in d=2, 3, 4, 5 dimensions provide scaling exponent estimates on much larger system sizes and simulations times published so far, where the effective growth exponent exhibits an increase. We provide evidence for the agreement with field theoretical predictions of the Kardar-Parisi-Zhang universality class and numerical results. We show that the (2+1)-dimensional exponents conciliate with the values suggested by Lässig within error margin, for the largest system sizes studied here, but we cannot support his predictions for (3+1)d numerically.</div>
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Directed d -mer diffusion describing the Kardar-Parisi-Zhang-type surface growth.

Directed d -mer diffusion describing the Kardar-Parisi-Zhang-type surface growth.

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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