Lecture 19 - Classification of Phase Transitions:...

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Classification of Phase Transitions : Ehrenfest’s Scheme Note that when we derived Clausius-Clapeyron Eq. we moved along the co-existence curve and for each point we have used 12  But we have not put any restrictions on or GG PT  ; TP VS PP   ―normal derivatives‖ of G If these derivates are discontinuous – First Order Phase Transition If these derivates are continuous, but the higher order derivates are discontinuous n-th order transition. Unfortunately, Nature has not co-operated with Ehrenfest’s scheme except for the important case of First Order Phase Transition. For example, Sp. Heat → 2 nd derivative Diverges at the critical point of a magnetic phase transition Modern Usage – 1 st order and Continuous Phase Transition Unambiguous Definition of Phase Transition In single phase regions of the P-T plane, G (T, P) is an analytic function bounded by co-existence curves along which the function is not analytic.
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Lecture 19 - Classification of Phase Transitions:...

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