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[½»Á÷] A little discussion on Ehrenfest's classification of phase transitions

I am right now learning about the classification about phase transition and here are things that I read.

There's a plenty of different phase transitions: solid-liquid, liquid-gas, ferromagnet-paramagnet, superconductor-metal. Ehrenfest suggested an elegant way to classify all these phase transitions. Consider two co-existing phases. In thermodynamic equilibrium of two phases one finds g1=g2. It means that if we consider 3D-graphs g1(p, T) and g2(p, T), the specific Gibbs functions of two phases would correspond to two surfaces. The intersection of the surfaces corresponds to the phase boundary. Although at the phase boundary g1=g2, g1(p, T) and g2(p, T) are different surfaces. Ehrenfest suggested to assign an order to phase transition. The order of a transition is defined as the order of the lowest differential of the Gibbs function or other thermodynamic potential which shows a discontinuity at the transition.


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