title: Continuous phase transitions with a convex dip in the microcanonical entropy.
abstract: 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.
authors.affiliation: Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany.
authors.forename: Hans
authors.initials: H
authors.lastname: Behringer
authors.forename: Michel
authors.initials: M
authors.lastname: Pleimling