Shape functions for dendrite tips of SCN and Si

Autor: L. V. Toropova

Publikováno v: The European Physical Journal Special Topics. 231:1129-1133

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4886f0d16de90876ca699565103efb0e
https://doi.org/10.1140/epjs/s11734-022-00519-4

Mathematical modeling of bulk and directional crystallization with the moving phase transition layer

Autor: Sergei I. Osipov, Alexander A. Ivanov, L. V. Toropova, Danil L. Aseev

Publikováno v: Mathematical Methods in the Applied Sciences

This paper is devoted to the mathematical modeling of a combined effect of directional and bulk crystallization in a phase transition layer with allowance for nucleation and evolution of newly born particles. We consider two models with and without f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61e7391af880528633b4b60698b08857
https://doi.org/10.1002/mma.7864

Solidification of ternary melts with a two-phase layer

Autor: L V Toropova, A A Ivanov, S I Osipov, Y Yang, E V Makoveeva, D V Alexandrov

Publikováno v: Journal of physics. Condensed matter : an Institute of Physics journal. 34(38)

This review is concerned with the nonstationary solidification of three-component systems in the presence of two moving phase transition regions—the main (primary) and cotectic layers. A non-linear moving boundary problem has been developed and its

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38ebf9eee511313bac86ed745b819394
https://pubmed.ncbi.nlm.nih.gov/35820411

On the Theory of Stable Mode of Dendritic Growth in the Presence of Convective Heat and Mass Transfer Boundary Conditions

Autor: Peter Galenko, L. V. Toropova, Dmitri V. Alexandrov

Publikováno v: WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER. 15:29-34

The dendritic form is one of the most common forms of crystals growing from supercooled melts and supersaturated solutions. In recent decades, an analytical theory has been developed that describes a stable dendrite growth mode under the conditions o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f9e24de7b103bd53cf8a146751558e89
https://doi.org/10.37394/232012.2020.15.5

The shape of dendritic tips: a test of theory with computations and experiments

Autor: A. Kao, Peter Galenko, Dmitri V. Alexandrov, E A Titova, Markus Rettenmayr, L. V. Toropova, Gilles Demange

Publikováno v: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2021, 379 (2205), pp.20200326. ⟨10.1098/rsta.2020.0326⟩
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021, 379 (2205), pp.20200326. ⟨10.1098/rsta.2020.0326⟩

This article is devoted to the study of the tip shape of dendritic crystals grown from a supercooled liquid. The recently developed theory (Alexandrov & Galenko 2020Phil. Trans. R. Soc. A378, 20190243. (doi:10.1098/rsta.2019.0243)), which defines the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82faf09acf6068ee153b6ddc1c393a65
https://hal.archives-ouvertes.fr/hal-03472574