Title: Cahn-Hilliard model with Schlögl reactions: interplay of equilibrium and non-equilibrium phase transitions. I. Travelling wave solutions
Author(s):

	P.O. Mchedlov-Petrosyan (A.I. Akhiezer Institute for Theoretical Physics, National Science Center “Kharkov Institite of Physics & Technology”, 1 Akademicheskaya Str., 61108 Kharkiv, Ukraine) ,
	L.N. Davydov (A.I. Akhiezer Institute for Theoretical Physics, National Science Center “Kharkov Institite of Physics & Technology”, 1 Akademicheskaya Str., 61108 Kharkiv, Ukraine)

The present work is devoted to the modelling which is based on the modified Cahn-Hilliard equation, the interplay of equilibrium and non-equilibrium phase transitions. The non-equilibrium phase transitions are modelled by the Schlögl reactions systems. We consider the advancing fronts which combine these both transitions. The traveling wave solutions are obtained; the conditions of their existence and dependence on the parameters of the models are studied in detail. The possibility of the existance of non-equilibrated phase is discussed.

Key words: phase transition, nonequilibrium phase transition, Cahn-Hilliard equation, Schlögl reactions

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