Microscopic Kinetics and Time-Dependent Structure Factors

Aspelmeier, Timo; Schmittmann, Beate; Zia, R. K. P.

doi:10.1103/physrevlett.87.065701

Cited by 3 publications

(1 citation statement)

References 9 publications

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“…The dissolution of precipitates when heated above the solubility line occurred depending on the temperature either by an evaporation of atoms or by a process resembling an explosion (Zizak et al, 1997). Starting from a completely phase separated initial configuration, i.e., pure A and B domains separated by a planar interface, the disordering at T ¼ 1 occurred via a different path when using vacancy dynamics compared to Kawasaki dynamics (Aspelmeier et al, 2001). When the attainment of equilibrium was prevented by an external field, the precipitates grew logarithmic in time.…”

Section: The Role Of the Vacancy In Other Processesmentioning

confidence: 99%

Using Kinetic Monte Carlo simulations to study phase separation in Alloys

et al. 2004

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We review recent extensions of the kinetic Ising model used to investigate phase separation in binary alloys. Firstly, vacancies are included to model the diffusion of the atoms on the microscopic scale more realistically. These can change the coarsening rate and the coarsening mechanism. Secondly, the lattice is allowed to deform owing to the different sizes of the atoms and the resulting misfit between precipitates and matrix. The deformability of the lattice induces long-range elastic interactions between the atoms. These change the shape, orientation, and arrangement of the precipitates. The growth of the precipitates need not follow the RðtÞ / t 1=3 law.

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Section: The Role Of the Vacancy In Other Processesmentioning

confidence: 99%

Using Kinetic Monte Carlo simulations to study phase separation in Alloys

et al. 2004

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Possible Loss and Recovery of Gibbsianness¶During the Stochastic Evolution of Gibbs Measures

Enter

Fernández

Hollander³

et al. 2002

Communications in Mathematical Physics

149

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We consider Ising-spin systems starting from an initial Gibbs measure ν and evolving under a spin-flip dynamics towards a reversible Gibbs measure µ = ν. Both ν and µ are assumed to have a finite-range interaction. We study the Gibbsian character of the measure νS(t) at time t and show the following:(1) For all ν and µ, νS(t) is Gibbs for small t.(2) If both ν and µ have a high or infinite temperature, then νS(t) is Gibbs for all t > 0.(3) If ν has a low non-zero temperature and a zero magnetic field and µ has a high or infinite temperature, then νS(t) is Gibbs for small t and non-Gibbs for large t.(4) If ν has a low non-zero temperature and a non-zero magnetic field and µ has a high or infinite temperature, then νS(t) is Gibbs for small t, non-Gibbs for intermediate t, and Gibbs for large t. The regime where µ has a low or zero temperature and t is not small remains open. This regime presumably allows for many different scenarios.

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Vacancy-mediated domain growth in a driven lattice gas

Schmittmann

Thies

2002

Europhys. Lett.

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Using Monte Carlo simulations and a mean-field theory, we study domain growth in a driven lattice gas. Mediated by a single vacancy, two species of particles ("charges") unmix, so that a disordered initial configuration develops charge-segregated domains which grow logarithmically slowly. An order parameter is defined and shown to satisfy dynamic scaling. Its scaling form is computed analytically, in excellent agreement with simulations.c EDP Sciences

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Microscopic Kinetics and Time-Dependent Structure Factors

Cited by 3 publications

References 9 publications

Using Kinetic Monte Carlo simulations to study phase separation in Alloys

Using Kinetic Monte Carlo simulations to study phase separation in Alloys

Possible Loss and Recovery of Gibbsianness¶During the Stochastic Evolution of Gibbs Measures

Vacancy-mediated domain growth in a driven lattice gas

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