Description Of Phase Transitions Research Articles

Generalized Quantum Theory

Beginning with the definition of a duplicated experiment and the fact that the resulting data are summarized as a set of configurations of some observables, together with frequencies of occurrence of each configuration, we derive the formal structure of conventional quantum theory using only the statistical properties of such data, and show that certain elements of the theory have heretofore been overlooked. This derivation yields a rather broad generalization of the theory which suggests new methods for describing phase transitions and possibly fundamental particles as well.

A relaxation model for liquid-vapor phase change with metastability

We propose a model that describes phase transition including metastable states present in the van der Waals Equation of State. From a convex optimization problem on the Helmoltz free energy of a mixture, we deduce a dynamical system that is able to depict the mass transfer between two phases, for which equilibrium states are either metastable states, stable states or a coexistent state. The dynamical system is then used as a relaxation source term in an isothermal 4×4 two-phase model. We use a Finite Volume scheme that treats the convective part and the source term in a fractional step way. Numerical results illustrate the ability of the model to capture phase transition and metastable states.