Abstract
The advanced modification leading to the velocity-dependent Herring equation was given by Müller-Krumbhaar et al. (J Cryst Growth 38:13–22 1977 [1]) on the basis of the Ginzburg-Landau formalism for phase transitions. This advancement allows for the analysis of interfaces in dynamics (see, e.g., Sect. 7 in the monograph (Statistical physics of crystal growth. World Sientific, Singapore 1996 [2])). Generalization of the Herring equation of Müller-Krumbhaar et al. (J Cryst Growth 38:13–22 1977 [1]) was performed for spatial and temporal variations of the chemical potential difference that acts as a driving force at the anisotropic interface motion. Following their work, derivation of the Herring equation for the interface dynamics is given in the present Chapter.
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Galenko, P. (2024). Velocity-Dependent Herring Equation. In: Phase Field Theory in Materials Physics. Springer, Cham. https://doi.org/10.1007/978-3-031-49278-5_6
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