Diffusion on the nanoscale
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To:
1. Introduction
Diffusion on the nanoscale
Zoltán Erdélyi
1
. Introduction
2
. Volume diffusion
2
.
1
Fick's equations
2
.
2
Boltzmann's transformation, Parabolic law
2
.
3
Atomic aspects of volume diffusion
2
.
4
Interdiffusion
2
.
4
.
1
Atomic fluxes
2
.
4
.
2
Interdiffusion coefficient
2
.
5
Composition dependent diffusion coefficient - Diffusion asymmetry
2
.
6
Discrete / atomistic models
2
.
6
.
1
One dimensional kinetic mean filed model (KMF)
2
.
6
.
2
Three dimensional kinetic Monte Carlo model (KMC)
3
. Nanoscale effects in volume diffusion
3
.
1
Introduction
3
.
2
Validity of the continuum approximation in multilayers - Continuum models deteriorate on the nanoscale
3
.
3
Sharp interface shift
3
.
3
.
1
Computer simulations
3
.
3
.
2
Experiments
3
.
4
Interface shift kinetics - Anomalous (Non-Fickian) diffusion kinetics
3
.
4
.
1
Completely miscible (
) and phase separating (
) systems
3
.
4
.
1
.
1
Computer simulations and theory
3
.
4
.
1
.
2
Experiments
3
.
4
.
2
Ordering systems (
) - Solid state reaction
3
.
4
.
2
.
1
Computer simulations
3
.
4
.
2
.
2
Experiments
3
.
5
Change of interface morphology
3
.
5
.
1
Interface sharpening in completely miscible alloys
3
.
5
.
1
.
1
Computer simulations
3
.
5
.
1
.
2
Experiments
3
.
5
.
2
Dissolution and off-stoichiometric formation of compound layers in solid state reactions
4
. Summary
5
. Acknowledgements
Bibliography
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1. Introduction
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