Dynamic and spatial behavior of a corrugated interface in the driven lattice gas model

The spatiotemporal behavior of an initially corrugated interface in the two-dimensional driven lattice gas (DLG) model with attractive nearest-neighbors interactions is investigated via Monte Carlo simulations. By setting the system in the ordered phase, with periodic boundary conditions along the e...

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Autores principales: Saracco, Gustavo Pablo, Albano, Ezequiel Vicente
Formato: Articulo
Lenguaje:Inglés
Publicado: 2010
Materias:
Física
Non equilibrium systems
Dynamical interface behavior
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/167284
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-167284
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spelling I19-R120-10915-1672842024-06-14T20:09:29Z http://sedici.unlp.edu.ar/handle/10915/167284 Dynamic and spatial behavior of a corrugated interface in the driven lattice gas model Saracco, Gustavo Pablo Albano, Ezequiel Vicente 2010-05-15 2024-06-14T16:44:14Z en Física Non equilibrium systems Dynamical interface behavior The spatiotemporal behavior of an initially corrugated interface in the two-dimensional driven lattice gas (DLG) model with attractive nearest-neighbors interactions is investigated via Monte Carlo simulations. By setting the system in the ordered phase, with periodic boundary conditions along the external field axis. i.e. horizontal, and open along the vertical directions respectively, an initial interface was imposed, that consists in a series of sinusoidal profiles with amplitude A0 and wavelength τ set parallel to the applied driving field axis. We studied the dynamic behavior of its statistical width or roughness W.t/, defined as the root mean square of the interface position. We found that W.t/ decays exponentially for all τ and lattice longitudinal sizes Lx, i.e., the lattice side that runs along the axis of the external field. We determined its relaxation time τ , and found that depends on as a power law τ / τp, where p depends on the temperature and Lx. At low T 's (T τ Tc .E/) and large Lx, p approaches to p D 3=2. At intermediate T 's (T < Tc .E/), p decreases up to p τ 1, and is free of finite effects. This indicates that the interface stabilizes faster than in the equilibrium model, i. e. the Ising lattice gas .E D 0/ where p D 3. At higher T 's p increases for T . Tc .E/, and the finite size dependence is recovered. Also, if T is fixed, p increases with Lx until it saturates at large values of it, while this regime is vanishing at T . Tc .E/. In this way, the dynamic relaxation process of a sinusoidal interface is improved by the external driving field with respect to its equilibrium counterpart, if the system is set in an intermediate temperature stage far from Tc .E/ and in a lattice with a sufficiently large longitudinal side. The behavior of τ was also investigated as a function of E and in the intermediate stage T < Tc .E/. It was found that τ decreases exponentially with E in the interval 0 < E . 1, while for higher fields it remains constant. The exponential decay depends on the wavelength of the initial profile. In order to study the spatial evolution of the profiles, we evaluated the structure factor of the interface, and the Fourier coefficients corresponding to the same wave vector of the initial profile. The obtained results allowed us to conclude that the spatial evolution of the profile maintains its initial wavelength, does not travel along the external field axis, and its shape is preserved over all the relaxation process. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas Articulo Articulo http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf 3387-3398
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Non equilibrium systems
Dynamical interface behavior
spellingShingle Física
Non equilibrium systems
Dynamical interface behavior
Saracco, Gustavo Pablo
Albano, Ezequiel Vicente
Dynamic and spatial behavior of a corrugated interface in the driven lattice gas model
topic_facet Física
Non equilibrium systems
Dynamical interface behavior
description The spatiotemporal behavior of an initially corrugated interface in the two-dimensional driven lattice gas (DLG) model with attractive nearest-neighbors interactions is investigated via Monte Carlo simulations. By setting the system in the ordered phase, with periodic boundary conditions along the external field axis. i.e. horizontal, and open along the vertical directions respectively, an initial interface was imposed, that consists in a series of sinusoidal profiles with amplitude A0 and wavelength τ set parallel to the applied driving field axis. We studied the dynamic behavior of its statistical width or roughness W.t/, defined as the root mean square of the interface position. We found that W.t/ decays exponentially for all τ and lattice longitudinal sizes Lx, i.e., the lattice side that runs along the axis of the external field. We determined its relaxation time τ , and found that depends on as a power law τ / τp, where p depends on the temperature and Lx. At low T 's (T τ Tc .E/) and large Lx, p approaches to p D 3=2. At intermediate T 's (T < Tc .E/), p decreases up to p τ 1, and is free of finite effects. This indicates that the interface stabilizes faster than in the equilibrium model, i. e. the Ising lattice gas .E D 0/ where p D 3. At higher T 's p increases for T . Tc .E/, and the finite size dependence is recovered. Also, if T is fixed, p increases with Lx until it saturates at large values of it, while this regime is vanishing at T . Tc .E/. In this way, the dynamic relaxation process of a sinusoidal interface is improved by the external driving field with respect to its equilibrium counterpart, if the system is set in an intermediate temperature stage far from Tc .E/ and in a lattice with a sufficiently large longitudinal side. The behavior of τ was also investigated as a function of E and in the intermediate stage T < Tc .E/. It was found that τ decreases exponentially with E in the interval 0 < E . 1, while for higher fields it remains constant. The exponential decay depends on the wavelength of the initial profile. In order to study the spatial evolution of the profiles, we evaluated the structure factor of the interface, and the Fourier coefficients corresponding to the same wave vector of the initial profile. The obtained results allowed us to conclude that the spatial evolution of the profile maintains its initial wavelength, does not travel along the external field axis, and its shape is preserved over all the relaxation process.
format Articulo
Articulo
author Saracco, Gustavo Pablo
Albano, Ezequiel Vicente
author_facet Saracco, Gustavo Pablo
Albano, Ezequiel Vicente
author_sort Saracco, Gustavo Pablo
title Dynamic and spatial behavior of a corrugated interface in the driven lattice gas model
title_short Dynamic and spatial behavior of a corrugated interface in the driven lattice gas model
title_full Dynamic and spatial behavior of a corrugated interface in the driven lattice gas model
title_fullStr Dynamic and spatial behavior of a corrugated interface in the driven lattice gas model
title_full_unstemmed Dynamic and spatial behavior of a corrugated interface in the driven lattice gas model
title_sort dynamic and spatial behavior of a corrugated interface in the driven lattice gas model
publishDate 2010
url http://sedici.unlp.edu.ar/handle/10915/167284
work_keys_str_mv AT saraccogustavopablo dynamicandspatialbehaviorofacorrugatedinterfaceinthedrivenlatticegasmodel
AT albanoezequielvicente dynamicandspatialbehaviorofacorrugatedinterfaceinthedrivenlatticegasmodel
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