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Journal of Statistical Physics

, Volume 62, Issue 1–2, pp 161–175 | Cite as

Monte Carlo simulation of phase separation and clustering in the ABV model

  • Khwaja Yaldram
  • Kurt Binder
Articles

Abstract

As a model for a binary alloy undergoing an unmixing phase transition, we consider a square lattice where each site can be either taken by an A atom, a B atom, or a vacancy (V), and there exists a repulsive interaction between AB nearest neighbor pairs. Starting from a random initial configuration, unmixing proceeds via random jumps of A atoms or B atoms to nearest neighbor vacant sites. In the absence of any interaction, these jumps occur at jump ratesΓA andΓB, respectively. For a small concentration of vacancies (cv=0.04) the dynamics of the structure factorS(k,t) and its first two momentsk1(t),k 2 2 (t) is studied during the early stages of phase separation, for several choices of concentrationcB of B atoms. ForcB=0.18 also the time evolution of the cluster size distribution is studied. Apart from very early times, the mean cluster sizel(t) as well as the moments of the structure function depend on timet and the ratioΓ of the jump rates (Γ=ΓB/ΓA) only via a scaled timet/τ(Γ). Qualitatively, the behavior is very similar to the direct exchange model containing no vacancies. Consequences for phase separation of real alloys are briefly discussed.

Key words

Phase separation clusters Monte Carlo simulation vacancy diffusion 

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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Khwaja Yaldram
    • 1
  • Kurt Binder
    • 2
  1. 1.Pakistan Institute of Nuclear Science and Technology (PINSTECH)IslamabadPakistan
  2. 2.Institut für PhysikJohannes Gutenberg-Universität MainzMainzGermany

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