Phenomenological and microscopic cluster models. II. Phase transitions

Phenomenological theories of ferroelectric phase transitions

parameter in the free energy expansion, phenomenological theory can also describe inhomogeneous structures appearPhenomenological theories for ferroelectrics are based ing in the ferroelectric phase transition, such as twins, on L andau–Devonshire type models, which can be conantiphase structures and domain walls. Here two examples structed based on thermodynamic principles and symwill be used ...

Theory of the Microscopic Maser Phase Transitions

Phase diagrams of the micromaser system are mapped out in terms of the physical parameters at hand like the atom cavity transit time τ , the atom-photon frequency detuning ∆ω, the number of thermal photons nb and the probability a for a pump atom to be in its excited state. Critical fluctuations are studied in terms of correlation measurements on atoms having passed through the micromaser or on...

Phenomenological modelling of first order phase transitions in magnetic systems

Models of Social Phase Transitions

Social phenomena can exhibit drastic changes with small changes in external parameters––phase transitions. Furthermore, physical models can be applied to social systems because most of the small details can be ignored just as in physical systems. Many models have been used and developed, most notable network models. However empirical data and their interpretation are not yet good enough to make...

Explicit isoperimetric constants, phase transitions in the random-cluster and Potts models, and Bernoullicity

The random-cluster model is a dependent percolation model that has applications in the study of Ising and Potts models. In this paper, several new results for the random-cluster model with cluster parameter q ≥ 1 are obtained. These include an explicit pointwise dynamical construction of random-cluster measures for arbitrary graphs, and for unimodular transitive graphs, lack of percolation for ...