• Title of article

    Cellular automaton model for substitutional binary diffusion in solids

  • Author/Authors

    Ribera, Helena entre de Recerca Matematica - Campus de Bellaterra - Spain , Wetton, Brian T. R. Mathematics Department - University of British Columbia - Canada , Myers, Timothy entre de Recerca Matematica - Campus de Bellaterra - Spain

  • Pages
    14
  • From page
    91
  • To page
    104
  • Abstract
    We use the cellular automaton (CA) approach to model binary diffusion in solids. We define an asynchronous CA model and formally take its continuum limit and show it approaches a differential equation model derived in previous work (Ribera, Wetton, and Myers, 2019, arXiv:1911.07359 [cond-mat.stat-mech]) that exhibits the Kirkendall effect. The framework allows the exploration of other state change rules based on additional physical mechanisms. Keywords
  • Keywords
    Kirkendall effect , Diffusion , Hollow nanostructures , Cellular automaton
  • Journal title
    Journal of Mathematical Modeling(JMM)
  • Serial Year
    2020
  • Record number

    2629700

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2629700