From atomistic interfaces to dendritic patterns

Abstract

One contribution of 16 to a theme issue 'From atomistic interfaces to dendritic patterns' . Transport processes around phase interfaces, together with thermodynamic properties and kinetic phenomena, control the formation of dendritic patterns. Using the thermodynamic and kinetic data of phase interfaces obtained on the atomic scale, one can analyse the formation of a single dendrite and the growth of a dendritic ensemble. This is the result of recent progress in theoretical methods and computational algorithms calculated using powerful computer clusters. Great benefits can be attained from the development of micro-, meso-and macrolevels of analysis when investigating the dynamics of interfaces, interpreting experimental data and designing the macrostructure of samples. The review and research articles in this theme issue cover the spectrum of scales (from nano-to macro-length scales) in order to exhibit recently developing trends in the theoretical analysis and computational modelling of dendrite pattern formation. Atomistic modelling, the flow effect on interface dynamics, the transition from diffusion-limited to thermally controlled growth existing at a considerable driving force, two-phase (mushy) layer formation, the growth of eutectic dendrites, the formation of a secondary dendritic network due to coalescence, computational methods, including boundary integral and phase-field methods, and experimental tests for theoretical models-all these themes are highlighted in the present issue.This article is part of the theme issue 'From atomistic interfaces to dendritic patterns'.

Atomistic modeling of crystal-melt interface mobility of fcc (Al, Cu) and bcc (Fe) metals in STRONG superheating/undercooling states

“…The degree of undercooling during solidification can be easily controlled by varying the thickness of the thin films. The problem of determining the mobility of the crystal-melt interface during melting / solidification of metals [49] as a function of temperature υ sℓ (ΔT) in the entire range of deep superheating/undercooling became urgent especially with the subsequent transition to the problems of crystal growth from deeply undercooled melts [45,46], as well as kinetic glass transition of undercooled liquids [47,48].…”

Modeling and simulation of heat/mass transport, nucleation and growth kinetics in phase transformations

“…It is well-known that phase and structural transformations occurring in metastable and heterogeneous materials attract the attention of researchers working in a broad range of theoretical and applied science varying from materials and condensed matter physics to biophysics and life science (see, among others, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]). This is explained by the fact that such transformations completely determine the concluding state of obtained materials, their structure, and properties.…”

Morphological stability diagram for slowly and rapidly solidifying binary systems

“…Indeed, an intensive atoms attachment to the solid-liquid interface leads to the fast decrease in the interface undercooling with the formation of crystalline ensemble of cellular or dendritic morphology (see Refs. [4][5][6] and references therein). In appearance of such morphologies a key role plays an establishing balance between destabilizing and stabilizing forces which are competing at the interface leading it to the planar or cellular/dendritic form.…”