Phase-structural and non-linear effects in heterogeneous systems
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part of Springer Nature, 2020 https://doi.org/10.1140/epjst/e2020-000233-5
THE EUROPEAN PHYSICAL JOURNAL SPECIAL TOPICS
Editorial
Phase-structural and non-linear effects in heterogeneous systems D.V. Alexandrov1,a and A.Yu. Zubarev2 1
2
Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Lenin ave. 51, Ekaterinburg 620000, Russia Department of Theoretical and Mathematical Physics, Laboratory of Mathematical Modeling of Physical and Chemical Processes in Multiphase Media, Ural Federal University, Lenin ave. 51, Ekaterinburg 620000, Russia Received 23 September 2020 / Accepted 23 September 2020 Published online 19 November 2020 Abstract. This theme issue is concerned with modern achievements in the theory, computational and experimental studies of the phase transitions that occur in heterogeneous systems. The papers are divided into six thematic sections devoted to patterned formations, transport and magnetic phenomena, hydrodynamic flows as well as biological applications. Special attention is paid to various non-linear effects met in these processes and leading to some unexpected at first glance physical aspects.
1 Introduction Structural-phase and nonlinear effects radically affect the dynamic behavior of many heterogeneous systems, determine their internal contexture, composition, morphology, and properties [1–14]. These effects arise as a result of various driving forces or external impacts and require especial theoretical consideration and computational modeling to describe and predict the metastable and non-equilibrium transformations in heterogeneous materials. Here, such phenomena as microstructure formation (e.g. monocrystalline or polycrystalline) during dendritic crystallization with different undercoolings [15–18], crystal-size distribution in metastable liquids induced by external mass and heat sources [19–21], magnetic hyperthermia in tumor cells produced by the alternating external magnetic field [22–24], and circulating fluid flows in coronary vessels appearing behind stenoses may be mentioned [25,26]. These and other similar problems attract the attention of many researchers from all over the world. Some of them representing scientific teams from Germany, the United Kingdom, France, Morocco, Egypt, and Russia reported the results of joint scientific research in the present theme issue. Following the topics of scientific directions, all articles of the theme issue are grouped into six sections, namely, 1. Dendritic growth [27–30]; 2. Nucleation and crystal growth [31,32]; a
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The European Physical Journal Special Topics
3. Mushy layer [33]; 4. Non-equilibrium structuring in magnetic heterogeneous systems [34,35]; 5. Theoretical modeling of magnetic hyperthermia [36,37]; 6. Transport and non-equilibrium structures in biological systems [38–40]. The first section represents the recent results of collaboration on dendritic growth of the research teams from the Friedrich Schiller Univer
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