The Lattice Monte Carlo Method for Solving Phenomenological Mass and Thermal Diffusion Problems

Irina V. Belova; Graeme E. Murch; Thomas Fiedler; Andreas Öchsner

doi:10.4028/www.scientific.net/DDF.279.13

Paper Titles

Preface

Diffusion in the Lattice and Interfaces of Real Engineering Materials: A Unified Approach
p.1

The Lattice Monte Carlo Method for Solving Phenomenological Mass and Thermal Diffusion Problems
p.13

Diffusion and Melting
p.23

Thermodynamic Diffusion Coefficients
p.39

Novel Method of Evaluation of Diffusion Coefficients in Ti-Zr System
p.53

Diffusion in Cu(Al) Solid Solution
p.63

A Probabilistic Approach to Analyze Austenite to Ferrite Transformation in Fe-Ni System
p.71

Recrystallization Kinetics in 17Cr 1Mo Ferritic Steel
p.79

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The Lattice Monte Carlo Method for Solving Phenomenological Mass and Thermal Diffusion Problems

Abstract:

In this overview, we introduce the recently developed Lattice Monte Carlo method for addressing and solving phenomenologically-based mass and thermal diffusion problems especially for composite and porous materials. With examples, we describe the application of this numerical method to calculate effective mass diffusivities and concentration profiles. Next, we describe the application of this method to the calculation of effective thermal conductivities/thermal diffusivities and temperature profiles.