Diffusion studies in nonequilibrium systems with attractive interactions

Arapaki, E.; Argyrakis, Panos; Tringides, Michael C.

doi:10.1103/physrevb.62.8286

Cited by 10 publications

(4 citation statements)

References 8 publications

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“…29,30 The evolution of the structure factor during the first-order phase transition in the lattice system was used to extract diffusion coefficients at nonequilibrium conditions. 31 Several theories for ISF have been developed [32][33][34][35] that lead to very accurate results for the long time and small wave-vector tracer diffusion coefficient in the entire concentration range, however, their consequences in the nonhydrodynamic regimes have not been investigated.…”

Section: Introductionmentioning

confidence: 99%

Memory effects in strongly interacting lattice gases: Self-intermediate scattering function studies

et al. 2011

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We investigate in detail the self-intermediate scattering function (SISF) of a lattice fluid (interacting lattice gas) with attractive nearest-neighbor interparticle interactions at a temperature slightly above the critical one by means of Monte Carlo simulations. An analytical expression is suggested to reproduce the simulation data. This expression is the generalization of the hydrodynamic limit with the wave vector, the time-dependent tracer diffusion coefficient, and the lattice geometry factor, instead of the square of the wave vector. The tracer diffusion coefficient is given by its zero wave-vector limit multiplied by the exponent of a function that contains only one fitting parameter describing its wave-vector dependence. In order to represent the time dependence of the SISF and to understand the time scales of the lattice fluid relaxation processes, we use two-and three-exponential fitting functions. The relaxation times group in three well-separated regions around 10, 100, and 1000 Monte Carlo steps and show weak concentration dependence. The analytical expression can also be used to calculate the lattice fluid dynamical structure factor.

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Section: Introductionmentioning

confidence: 99%

Memory effects in strongly interacting lattice gases: Self-intermediate scattering function studies

et al. 2011

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“…It has been known for a long time that such system orders under an influence of the external driving force [8,9,10]. Recently, this model has been studied intensively [11,12,13,14,15,16] in a context of latest experimental results. We describe below the process of stripe formation in a lattice model with two types of particles which do not interact via direct forces.…”

Section: Introductionmentioning

confidence: 99%

Segregation in a noninteracting binary mixture

Krzyżewski

Załuska‐Kotur

2008

Phys. Rev. E

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Process of stripe formation is analyzed numerically in a binary mixture. The system consists of particles of two sizes, without any direct mutual interactions. Overlapping of large particles, surrounded by a dense system of small particles, induces indirect entropy driven interactions between large particles. Under an influence of an external driving force the system orders and stripes are formed. Mean width of stripes grows logarithmically with time, in contrast to a typical power law temporal increase observed for driven interacting lattice gas systems. We describe the mechanism responsible for this behavior and attribute the logarithmic growth to a random walk of large particles in a random potential created by the site blocking due to the small ones.

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“…Among them a crucial role is played by the relevant order parameter for the underlying phase transformation. The domain growth exhibits t 1/2 dependence for a nonconserved order parameter, [4][5][6][7][8] and a t 1/3 dependence, called the Lifshitz-Slozov growth, [7][8][9][10][11] for a conserved one. Experimentally, it is found that slightly different systems either follow a t 1/2 growth law 12 or an almost diffusion-driven t 1/3 growth.…”

Section: Introductionmentioning

confidence: 99%

Domain growth in the interacting adsorbate: Nonsymmetric particle jump model

et al. 2007

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We show that an exponent of a powerlike time domain growth is determined not only by the conservation or nonconservation of the order parameter, but also by the asymmetry of single-particle jumps. Domains that have an anisotropic pattern, such as ͑2 ϫ 1͒, have a tendency to grow faster in a certain direction than they do in others. The rate of expansion in different directions depends on the barriers for single-particle jumps. As a result, dynamical behavior of systems which start in the same configurations and eventually reach the same equilibrium states is completely different. We show how differences in microscopic dynamics in a onedimensional Potts model lead to different rates of domain growth. We observe a similar effect for a twodimensional ͑2 ϫ 1͒ ordering by changing the way in which a barrier for a jump depends on the number of neighboring particles. We show examples of the domain power growth, which are characterized by different exponents.

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Diffusion studies in nonequilibrium systems with attractive interactions

Cited by 10 publications

References 8 publications

Memory effects in strongly interacting lattice gases: Self-intermediate scattering function studies

Memory effects in strongly interacting lattice gases: Self-intermediate scattering function studies

Segregation in a noninteracting binary mixture

Domain growth in the interacting adsorbate: Nonsymmetric particle jump model

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