Cahn-Hilliard模型与Schlögl反应:平衡与非平衡相变的相互作用。II. 记忆效应
Cahn-Hilliard model with Schlögl Reactions: interplay of equilibrium and non-equilibrium phase transitions. II. Memory effects
AI总结:
本文延续先前工作,基于修正Cahn-Hilliard方程与第二Schlögl反应系统,研究平衡与非平衡相变相互作用的推进前沿,重点分析非菲克扩散的记忆效应,获得行波解并评估其在不同过程机制下的相对重要性。
摘要:
本文是我们先前论文[Condens. Matter Phys., 2020, 23, 33602: 1-17]的延续,致力于模拟平衡与非平衡相变的相互作用。平衡相变的建模基于修正的Cahn-Hilliard方程,而非平衡相变则由第二Schlögl反应系统建模。我们考虑了结合这两种转变的前沿推进。与第一篇文章不同,本文考虑了记忆效应,即非菲克扩散的影响。我们得到了行波解,并详细研究了其与模型参数的依赖关系,同时估算了不同过程机制下记忆效应的相对重要性。
英文摘要:
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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