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The specific heat at reentrancies. Is there a break in its universal behavior?

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  • Aguilar, A.
  • Braun, E.

Abstract

Using the procedure previously obtained by the authors, we obtain the specific heat of the two-dimensional generalized Ising model when reentrancy occurs. For the case of single reentrancy and when the two transition temperatures are similar (single degeneracy), then the specific heat behaves as Δ2 ln ∝Δ∝. For the case of double reentrancy one has two possibilities: (i) Single degeneracy. The behavior of the specific heat is again Δ2 ln ∝Δ∝. (ii) Double degeneracy. The behavior is now Δ4 ln ∝Δ∝. When higher reentrancies occur there is the possibility of higher degeneracy in the values of the transition temperatures, in which case the specific heat behaves as Δk ln ∝Δ∝ with k > 4. These results are obtained in general, i.e. independently of the details of the interactions between spins of the system. Therefore, we conclude that there is a breakdown in the universal behavior of the specific heat.

Suggested Citation

  • Aguilar, A. & Braun, E., 1993. "The specific heat at reentrancies. Is there a break in its universal behavior?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 193(1), pages 169-182.
    • Handle: RePEc:eee:phsmap:v:193:y:1993:i:1:p:169-182
    DOI: 10.1016/0378-4371(93)90223-Q
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