Cahn-Hilliard model with Schlögl Reactions: interplay of equilibrium and non-equilibrium phase transitions. II. Memory effects

P. Mchedlov-Petrosyan; L. Davydov

doi:10.5488/cmp.28.13601

Authors

P. Mchedlov-Petrosyan A. I. Akhiezer Institute for Theoretical Physics, National Science Center “Kharkiv Institite of Physics & Technology”, 1 Akademicheskaya Str., 61108 Kharkiv, Ukraine https://orcid.org/0000-0002-2362-9077
L. Davydov A. I. Akhiezer Institute for Theoretical Physics, National Science Center “Kharkiv Institite of Physics & Technology”, 1 Akademicheskaya Str., 61108 Kharkiv, Ukraine https://orcid.org/0000-0002-0031-2536

DOI:

https://doi.org/10.5488/cmp.28.13601

Keywords:

phase transition, nonequilibrium phase transition, Cahn–Hilliard equation, Schlögl reactions, memory effect, travelling wave

Abstract

The present work is a continuation of our previous paper [Condens. Matter Phys., 2020, 23, 33602: 1–17]. It is devoted to the modelling of the interplay of equilibrium and non-equilibrium phase transitions. The modelling 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, and its dependence on the model parameters is studied in detail. The relative importance of memory effects for different process regimes is estimated.

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