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Phase separation in a compressible 2D Ising model.

S J Mitchell1, D P Landau

  • 1Department of Physics, The Center for Simulational Physics, University of Georgia, Athens, 30602-2451, USA. smitchell@physast.uga.edu

Physical Review Letters
|August 16, 2006
PubMed
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We studied domain growth in a spin-exchange Ising model. Lattice mismatch significantly alters domain growth, suggesting current theories are incomplete.

Area of Science:

  • Statistical physics
  • Condensed matter physics
  • Computational physics

Background:

  • Domain growth is a fundamental process in materials science.
  • The late-time domain growth law R(t) = A + Bt(n) is theoretically predicted to follow n = 1/3 in many systems.
  • Understanding factors influencing domain growth is crucial for materials design.

Purpose of the Study:

  • To investigate the effects of compressibility and lattice mismatch on asymptotic domain growth.
  • To precisely measure the domain growth law in a two-dimensional spin-exchange Ising model.
  • To compare simulation results with theoretical predictions for domain growth.

Main Methods:

  • High-precision Monte Carlo simulations.
  • Utilizing a compressible two-dimensional spin-exchange Ising model.

Related Experiment Videos

  • Analyzing systems with continuous particle positions and zero total magnetization.
  • Main Results:

    • For mismatched systems, a significant deviation from the expected n = 1/3 growth was observed (n = 0.224 +/- 0.004).
    • For a compressible model without mismatch, only a slight deviation from n = 1/3 was measured.
    • These findings highlight the impact of lattice mismatch on domain coarsening dynamics.

    Conclusions:

    • The current understanding of domain growth classes may be incomplete.
    • Lattice mismatch is a critical factor influencing late-time domain growth laws.
    • Further theoretical and computational studies are needed to fully elucidate domain growth mechanisms.