6533b839fe1ef96bd12a6dc0

RESEARCH PRODUCT

Canonical versus microcanonical analysis of first-order phase transitions

Wolfhard Janke

subject

Canonical ensembleNuclear and High Energy PhysicsPhase transitionMicrocanonical ensembleTransition pointCritical phenomenaMaxwell constructionEstimatorStatistical physicsAtomic and Molecular Physics and OpticsPotts modelMathematics

description

Abstract I discuss the relation between canonical and microcanonical analyses of first-order phase transitions. In particular it is shown that the microcanonical Maxwell construction is equivalent to the equal-peak-height criterion often employed in canonical simulations. As a consequence the microcanonical finite-size estimators for the transition point, latent heat and interface tension are identical to standard estimators in the canonical ensemble. Special emphasis is placed on various ways for estimating interface tensions. The theoretical considerations are illustrated with numerical data for the two-dimensional 10-state Potts model.

https://doi.org/10.1016/s0920-5632(97)00854-2