Stochastic Geometry and Transformation Kinetics Theories: Basics and Results

  1. TMS
  1. Paulo R. Rios1 and
  2. Elena Villa2

Published Online: 7 JUN 2012

DOI: 10.1002/9781118357002.ch97

Supplemental Proceedings: Materials Properties, Characterization, and Modeling, Volume 2

Supplemental Proceedings: Materials Properties, Characterization, and Modeling, Volume 2

How to Cite

Rios, P. R. and Villa, E. (2012) Stochastic Geometry and Transformation Kinetics Theories: Basics and Results, in Supplemental Proceedings: Materials Properties, Characterization, and Modeling, Volume 2 (ed TMS), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118357002.ch97

Author Information

  1. 1

    Universidade Federal Fluminense, Escola de Engenharia Industrial Metalúrgica de Volta Redonda, Av. dos Trabalhadores 420, Volta Redonda, RJ, 27255-125, Brasil

  2. 2

    University of Milan, Department of Mathematics, via Saldini 50, Milano, 20133, Italy

Publication History

  1. Published Online: 7 JUN 2012
  2. Published Print: 17 MAR 2012

ISBN Information

Print ISBN: 9781118296097

Online ISBN: 9781118357002

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Keywords:

  • stochastic geometry;
  • phase transformations;
  • kinetics;
  • analytical methods

Summary

This chapter contains sections titled:

  • Introduction

  • Nucleation Processes Modeled by Point Processes

  • The Birth-and-Growth Process

  • Causal Cone

  • Revisiting JMAK

  • Nucleation in Clusters

  • Nucleation on Lower Dimensional Surfaces

  • Random Velocity

  • Conclusion