Continuous phase transitions with a convex dip in the microcanonical entropy

Details Continuous phase transitions with a convex dip in the microcanonical entropy Continuous phase transitions with a convex dip in the microcanonical entropy

2006-06-12

arxiv.org/abs/cond-mat/0606283v1

Phys. Rev. E 74, 011108 (2006)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 7 figures, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.74.011108

The appearance of a convex dip in the microcanonical entropy of finite systems usually signals a first order transition. However, a convex dip also shows up in some systems with a continuous transition as for example in the Baxter-Wu model and in the four-state Potts model in two dimensions. We demonstrate that the appearance of a convex dip in those cases can be traced back to a finite-size effect. The properties of the dip are markedly different from those associated with a first order transition and can be understood within a microcanonical finite-size scaling theory for continuous phase transitions. Results obtained from numerical simulations corroborate the predictions of the scaling theory.

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