The Schlogl model of second-order phase transition

4 The Schlogl model of second-order phase transition 

Chemical reaction models of phase transition-like phenomena have extensively been studied. Schlogl s model (1972) of the second-order phase transition is 

Here A, B and C are external components, and X is the single internal component. The deterministic model is 

The two phases are represented by the cases whether x differs from 0 or not. Y 0 implies 0, therefore phase transition does not occur. For 

It means that for p 1 the stationary concentration is finite. A change in P could lead to a phase-transition . The analogy with the most frequently investigated second-order phase transition phenomena, namely to the behaviour of ferromagnetic materials, is trivially demonstrated by making the following correspondences  

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