Vacancy mediated substitutional diffusion in binary crystalline solids

A Van der Ven, HC Yu, G Ceder, K Thornton - Progress in Materials …, 2010 - Elsevier
We describe a formalism to predict diffusion coefficients of substitutional alloys from first
principles. The focus is restricted to vacancy mediated diffusion in binary substitutional …

The mechanism of morphogenesis in a phase-separating concentrated multicomponent alloy

Z Mao, CK Sudbrack, KE Yoon, G Martin… - Nature materials, 2007 - nature.com
What determines the morphology of a decomposing alloy? Besides the well-established
effect of the nucleation barrier, we demonstrate that, in a concentrated multicomponent Ni …

Diffusion of elements and vacancies in multi-component systems

FD Fischer, J Svoboda - Progress in materials science, 2014 - Elsevier
Diffusion of elements and vacancies is embedded in the framework of continuum mechanics
and thermodynamics. The evolution equations for the site fractions of the substitutional and …

Application of non-equilibrium dendrite growth model considering thermo-kinetic correlation in twin-roll casting

Y Zhang, J Du, K Wang, H Wang, S Li, F Liu - Journal of Materials Science & …, 2020 - Elsevier
Upon non-equilibrium solidifications, dendrite growth, generally as precursor of as-solidified
structures, has severe effects on subsequent phase transformations. Considering synergy of …

Modeling rapid solidification of multi-component concentrated alloys

K Wang, H Wang, F Liu, H Zhai - Acta materialia, 2013 - Elsevier
A sharp interface model for rapid solidification of multi-component concentrated alloys was
developed based on the thermodynamic extremal principle and extended irreversible …

Substitutional diffusion in multicomponent solids with non-ideal sources and sinks for vacancies

FD Fischer, J Svoboda - Acta materialia, 2010 - Elsevier
Based on previous work by the authors the diffusion equations for a multicomponent solid
are derived. Generation and annihilation of vacancies are described by an evolution law …

Rapid solidification theory revisited–a consistent model based on a sharp interface

M Buchmann, M Rettenmayr - Scripta materialia, 2007 - Elsevier
Based on recent progress in the thermodynamics of migrating interfaces, the contact
conditions (equilibrium concentrations and deviations thereof) at a solid/liquid interface …

A self-consistent mean field calculation of the phenomenological coefficients in a multicomponent alloy with high jump frequency ratios

V Barbe, M Nastar - Philosophical Magazine, 2006 - Taylor & Francis
We present an improvement of the self-consistent mean field (SCMF) approximation of the L
ij which extends its applications to alloys presenting high jump frequency ratios. The theory …

CASM Monte Carlo: Calculations of the thermodynamic and kinetic properties of complex multicomponent crystals

B Puchala, JC Thomas, A Van der Ven - arXiv preprint arXiv:2309.11761, 2023 - arxiv.org
Monte Carlo techniques play a central role in statistical mechanics approaches for
connecting macroscopic thermodynamic and kinetic properties to the electronic structure of …

Relaxation of the elastic strain energy of misfitting inclusions due to diffusion of vacancies

J Svoboda, E Gamsjäger, FD Fischer - Philosophical magazine …, 2005 - Taylor & Francis
Vacancy diffusion is investigated as a mechanism for relaxation of the elastic strain energy
caused by a misfitting inclusion. The kinetics of reduction of the total eigenstrain by the …