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Towards the theory of phase transformations in metastable liquids. Analytical solutions and stability analysis

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Abstract

The process of ongoing nucleation and evolution of particles in a metastable liquid caused by external mass sources and crystal withdrawal mechanism is considered. The steady-state and unsteady-state analytical solutions are found analytically. The crystal-size distribution function, as well as the standard Cauchy problem for the liquid supersaturation, are derived. The linear dynamic stability theory of steady-state solutions is developed. The neutral stability surface as a function of system parameters is determined.

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Authors and Affiliations

  1. Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Lenin ave., 51, Ekaterinburg, 620000, Russia

    Alexander A. Ivanov, Irina V. Alexandrova & Dmitri V. Alexandrov

Authors
  1. Alexander A. Ivanov
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  2. Irina V. Alexandrova
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  3. Dmitri V. Alexandrov
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Correspondence to Irina V. Alexandrova.

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Ivanov, A.A., Alexandrova, I.V. & Alexandrov, D.V. Towards the theory of phase transformations in metastable liquids. Analytical solutions and stability analysis. Eur. Phys. J. Spec. Top. 229, 365–373 (2020). https://doi.org/10.1140/epjst/e2019-900081-0

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