Percolation of diffusionally evolved two-phase systems

Victor E. Brunini, Christopher A. Schuh, W. Craig Carter

Research output: Contribution to journalConference articlepeer-review

Abstract

Although the phase fractions in dual phase systems are often compared with the percolation threshold for a randomly-assembled composite, most two-phase systems are non-random by virtue of correlations introduced during processing or as a consequence of microstructural evolution. This study examines the two dimensional percolation threshold in systems with soft impingement, i.e., when the phase distribution is affected by diffusional interactions between growing second phase particles. Phase field modeling is used to simulate the nucleation and growth process, with many simulations conducted at various system sizes and equilibrium phase fractions to obtain percolation probabilities. The value of the percolation threshold in the thermodynamic limit is estimated based on the finite size scaling behavior of the system. The value of the critical exponent v (the size scaling exponent) is also estimated.

Original languageEnglish (US)
Pages (from-to)73-77
Number of pages5
JournalMaterials Research Society Symposium Proceedings
Volume1059
StatePublished - 2008
EventNanoscale Pattern Formation - Boston, MA, United States
Duration: Nov 26 2007Nov 30 2007

ASJC Scopus subject areas

  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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