This review article summarizes the main outcomes following from recently developed
theories of stable dendritic growth in undercooled one-component and binary melts. The …

As one of the representative patterns in nature and laboratory experiments, dendritic
structures control the properties of a broad range of advanced materials. Dendrites arise …

This study is concerned with a theory of two-step nucleation and growth of crystals in a
metastable liquid. This mechanism is that crystalline nuclei formation occurs in dense liquid …

A linear theory of morphological stability of flat crystallization front is constructed with
allowance for convective motions in liquid. The cases of slow and intense convection …

Abstract Microstructure of Al-40 wt% Si samples solidified in electromagnetic levitation
furnace is studied at high melt undercooling. Primary Si with feathery and dendritic …

In this work, a recently developed analytical theory describing dendrite tips growing in
undercooled melts in the absence of convection is tested against experimental data of …

The generalized shape function for the dendritic tip, primary stem and external envelope is
derived and tested against experimental data for succinonitrile and succinonitrile-acetone …

Motivated by important applications in materials physics, we study the shape of dendritic
crystals based on recently developed morphological theory [Phys. Lett. A 501 (2024) …

This review article summarizes current theories of the steady-state growth mode of dendrites
in the form of elliptical paraboloids. The shape of dendrite tips is analyzed, temperature and …

Motivated by important applications in materials science, geo-and biophysics, we develop a
theory answering the question of how a growing dendritic crystal reaches its stationary …