# Generalized Phase Rules

@article{Shimizu2008GeneralizedPR, title={Generalized Phase Rules}, author={Akira Shimizu}, journal={arXiv: Statistical Mechanics}, year={2008} }

For a multi-component system, general formulas are derived for the dimension of a coexisting region in the phase diagram in various state spaces.

## 4 Citations

Relation Among TPQ States

- Mathematics
- 2017

In this chapter, I show transformation relations among the TPQ states which correspond to different ensembles: microcanonical, canonical, and grandcanonical ensembles. These relations make the TPQ…

Microcanonical Thermal Pure Quantum State

- Physics
- 2017

In the microcanonical ensemble, an equilibrium state is specified by energy. In this case, the corresponding thermal pureTPQ state is a microcanonical TPQ (mTPQ) state. I will introduce the mTPQ…

Squeezed ensemble for systems with first-order phase transitions

- Physics, MathematicsPhysical Review B
- 2019

All ensembles of statistical mechanics are equivalent in the sense that they give the equivalent thermodynamic functions in the thermodynamic limit. However, when investigating microscopic structures…

Splitting of a turbulent puff in pipe flow

- Mathematics
- 2014

The transition to turbulence of the flow in a pipe of constant radius is numerically studied over a range of Reynolds numbers where turbulence begins to expand by puff splitting. We first focus on…

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About this point and precise definitions of 'phase' and 'phase transition,' see Sec. 15.1 of ref. 3. 7) These variables are not independent even in a region where only a single phase exists (i

- About this point and precise definitions of 'phase' and 'phase transition,' see Sec. 15.1 of ref. 3. 7) These variables are not independent even in a region where only a single phase exists (i