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Weak convection, liquid inclusions and the formation of chimneys in mushy layers
We present a numerical study of steady convection in a two-dimensional mushy layer during solidification of a binary mixture at a constant speed V . The mushy layer is modelled as a reactive porousExpand
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An energy localization principle and its application to fast kinetic Monte Carlo simulation of heteroepitaxial growth
Simulation of heteroepitaxial growth using kinetic Monte Carlo (KMC) is often based on rates determined by differences in elastic energy between two configurations. This is computationallyExpand
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A geometric model for coarsening during spiral-mode growth of thin films
Abstract We study the coarsening observed in spiral-mode growth of thin films. The high-temperature superconductor YBa 2 Cu 3 O 7−δ provides a suitable model system. The density of spirals at theExpand
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Efficient kinetic Monte Carlo simulation
  • T. Schulze
  • Computer Science
  • J. Comput. Phys.
  • 1 February 2008
TLDR
This paper concerns kinetic Monte Carlo (KMC) algorithms that have a single-event execution time independent of the system size. Expand
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Kinetic Monte Carlo simulations with minimal searching.
  • T. Schulze
  • Mathematics, Medicine
  • Physical review. E, Statistical, nonlinear, and…
  • 13 February 2002
Kinetic Monte Carlo (KMC) simulations are used to simulate epitaxial crystal growth. Presently, the fastest reported methods use binary trees to search through a list of rates in O(log(2) M) time,Expand
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A time-dependent formulation of the mushy-zone free-boundary problem
We present time-dependent governing equations and boundary conditions for the mushy-zone free-boundary problem that are valid in an arbitrary frame of reference. The model for time-evolving mushyExpand
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The rapid advance and slow retreat of a mushy zone
We discuss a model for the evolution of a mushy zone which forms during the solidification of a binary alloy cooled from below in a tank with finite height. Our focus is on behaviours of the systemExpand
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Linear and nonlinear convection in solidifying ternary alloys
In this paper we consider buoyancy-driven flow and directional solidification of a ternary alloy in two dimensions. A steady flow can be established by forcing liquid downward at an average rate VExpand
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A hybrid scheme for simulating epitaxial growth
Abstract This article continues the development of a hybrid scheme for simulating epitaxial growth that combines the Burton–Cabrera–Frank (BCF) model with kinetic Monte-Carlo (KMC) simulation. ThisExpand
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Simulation of dendritic growth into an undercooled melt using kinetic Monte Carlo techniques.
  • T. Schulze
  • Materials Science, Medicine
  • Physical review. E, Statistical, nonlinear, and…
  • 11 August 2008
We consider the growth of a single fcc dendrite into an undercooled melt. Unlike most simulations of this well-studied phenomenon, we adopt an atomistic growth model that uses a kinetic Monte CarloExpand
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