The breaking of symmetries during these events gives rise to their (*) order parameters; first-order events of this type are those that involve latent heat.
An incorrect hypothesis that the partition function could never describe these events was disproven by Rudolf Peierls, who showed that one of them occurs in the two-dimensional Ising model. At the point where one of these events occurs, a power law showing the asymptotic behavior of a physical quantity takes the form of the reduced temperature raised to the critical exponent. The breaking of symmetries during these events gives rise to their (*) order parameters; first-order events of this type are those that involve latent heat. The Clausius-Clapeyron equation gives the slope of the tangents of the coexistence curve for the "discontinuous" examples of these events. For 10 points, name these transformations of a material from one state of matter to another, such as the freezing of water.
An incorrect hypothesis that the partition function could never describe these events was disproven by Rudolf Peierls, who showed that one of them occurs in the two-dimensional Ising model.
phase transitions [or phase changes; or phase transformations; accept other equivalents including "phase"; prompt on partial answers]