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Normal Grain Growth: Monte Carlo Potts Model Simulation and Mean-Field Theory

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Micro-Macro-interaction

Abstract

Grain growth in polycrystals is modelled using an improved Monte Carlo Potts model algorithm. By extensive simulation of three-dimensional normal grain growth it is shown that the simulated microstructure reaches a quasi-stationary self-similar coarsening state, where especially the growth of grains can be described by an average self-similar growth law, which depends only on the number of faces described by a square-root law. Together with topological considerations a non-linear effective growth law results. A generalized analytic mean-field theory based on the growth law yields a scaled grain size distribution function that is in excellent agreement with the simulation results. Additionally, a comparison of simulation and theory with experimental results is performed.

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Authors and Affiliations

  1. Institut für Experimentelle Physik, Otto-von-Guericke-Universität Magdeburg,  

    D. Zöllner & P. Streitenberger

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  1. D. Zöllner
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  2. P. Streitenberger
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Editors and Affiliations

  1. University Magdeburg, Germany

    Albrecht Bertram

  2. Inst. für Verfahrenstechnik, Otto-von-Guericke-UniversitätMagdeburg, Universitätsplatz 2, 39106, Magdeburg

    Jürgen Tomas

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Zöllner, D., Streitenberger, P. (2008). Normal Grain Growth: Monte Carlo Potts Model Simulation and Mean-Field Theory. In: Bertram, A., Tomas, J. (eds) Micro-Macro-interaction. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85715-0_1

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  • DOI: https://doi.org/10.1007/978-3-540-85715-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85714-3

  • Online ISBN: 978-3-540-85715-0

  • eBook Packages: EngineeringEngineering (R0)

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