Numerical limit of the spinodal point
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.
Year of publication: |
1994
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Authors: | Cenedese, Pierre ; Kikuchi, Ryoichi |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 205.1994, 4, p. 747-755
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Publisher: |
Elsevier |
Saved in:
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