Title: Cahn-Hilliard model with Schlögl Reactions: interplay of equilibrium and non-equilibrium phase transitions. II. Memory effects
Author(s):

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

The present work is the continuation of our paper: [Condens. Matter Phys., 2020, 23, 33602: 1-17]. It is devoted to the modeling of the interplay of equilibrium and non-equilibrium phase transitions. The modeling of equilibrium phase transition is based on the modified Cahn-Hilliard equation. The non-equilibrium phase transition is modeled by the Second Schlögl reaction system. We consider the advancing front, which combines these both transitions. Different from the first article, we consider here the memory effects, i.e. the effects of non-Fickian diffusion. The traveling wave solution is obtained, its dependence on the model parameters is studied in detail. The relative importance of memory effects for different process regimes is estimated.

Key words: phase transition, nonequilibrium phase transition, Cahn-Hilliard equation, Schlögl reactions, memory effect, traveling wave

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