Zoltán ERDÉLYI

Nano-materials, diffusion, solid sate reaction

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Table of contents

  • 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 ($$V=0$$) and phase separating ($$V>0$$) systems
        • 3.4.1.1 Computer simulations and theory
        • 3.4.1.2 Experiments
      • 3.4.2 Ordering systems ($$V<0$$) – 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
    • 3.6. Summary

Bibliography

Diffusion on the nanoscale

  • Table of contents
  • 1. Introduction
  • 2. Volume diffusion
  • 3. Nanoscale effects in volume diffusion
  • Bibliography


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