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Numerical limit of the spinodal point

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  • Cenedese, Pierre
  • Kikuchi, Ryoichi

Abstract

The relation is studied between the phase boundary Cpb and the spinodal point Cs of the ferromagnetic Ising model, in the two dimensional triangular lattice, using a series of approximations in the CVM (cluster variation method) hierarchy. We keep the magnetization M fixed, and extrapolate the temperature difference Tpb(M, n) − Ts(M, n) for n = 1, 3, 5, 7 and 9 triangle approximations of the CVM. It is found that the limiting value of the difference is practically zero. Our analysis indicates: (i) The spinodal decomposition is to be treated as a system changing from the quenched initial state, and the “free energy” curve used in the spinodal analysis is not a fixed curve but is changing in time, and (ii) cases can occur in which a quenched system is initially decomposing in the nucleation mode, but switches to the spinodal decomposition mode in time.

Suggested Citation

  • Cenedese, Pierre & Kikuchi, Ryoichi, 1994. "Numerical limit of the spinodal point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(4), pages 747-755.
    • Handle: RePEc:eee:phsmap:v:205:y:1994:i:4:p:747-755
    DOI: 10.1016/0378-4371(94)90234-8
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