The effect of the heating rate on the phase transition |
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Authors: | Aycan Özkan Bülent Kutlu |
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Institution: | 1. Fizik B?lümü, Fen Fakültesi, Gazi üniversitesi, Ankara, Turkeybkutlu@gazi.edu.tr;3. Fizik B?lümü, Fen Fakültesi, Gazi üniversitesi, Ankara, Turkey |
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Abstract: | ABSTRACTThe simple cubic spin-1 Ising model exhibits the ferromagnetic (F)–ferromagnetic (F) phase transition in the low temperature region for the interval 1.40 < d = D/J < 1.48 at k = K/J = –0.5. The degree of the F-F phase transition determines the special point on the (kBT/J, d) phase diagram. In this paper, the critical behavior of the F-F phase transition was investigated for different heating rates using the cellular automaton heating algorithm. The universality class and the type of F-F phase transition were analyzed using the finite-size scaling theory and the power law relations. The results show that the F-F phase transition may be the second order, the first order or the weak first order depending on the heating rate in the interval 1.40 < d < 1.48 for k = –0.5. |
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Keywords: | Ising model phase transition critical phenomena heating rate weak first order cellular automaton |
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