Work

The shape of dendritic tips for rapid non-equilibrium solidification

Year: 2025

Type: article

Abstract: The shape of dendritic tips for rapid nonequilibrium solidification is studied based on the Geometrically Morphological Theory (Toropova et al. in Acta Mater 296:121232, 2025; Alexandrov et al. in Phys Lett A 501:129375, 2024) and numerical simulations. The shape function for dendritic tips that takes into account Lorentz-type coordinate transformations is checked against the crystal shapes simulated numerically. This study shows that the dendrite tip, primary stem and external envelope are well-described by Geometrically Morphological Theory with compression-stretching coordinate transformations in the diffusion-limited solidification regime and without these transformations in the kinetic regime.

Source: The European Physical Journal Special Topics

DOI: 10.1140/epjs/s11734-025-02072-2

Authors: Liubov V. Toropova, Dmitri V. Alexandrov

Institutions: Ural Federal University, Friedrich Schiller University Jena

Language: English

Topic: Solidification and crystal growth phenomena

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,790

Funders: Friedrich-Schiller-Universität Jena, Ministry of Science and Higher Education of the Russian Federation, Ministry of Scientific and Technological Development, Higher Education and Information Society