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Percolation of Diffusionally Evolved Two-Phase Systems

Published online by Cambridge University Press:  01 February 2011

Victor Eric Brunini ,
Christopher A. Schuh  and
W. Craig Carter
Victor Eric Brunini
Affiliation:
[email protected], Massachusetts Institute of Technology, Department of Materials Science and Engineering, 77 Massachusetts Ave., Cambridge, MA, 02139, United States
Christopher A. Schuh
Affiliation:
[email protected], Massachusetts Institute of Technology, Department of Materials Science and Engineering, 77 Massachusetts Ave., Cambridge, MA, 02139, United States
W. Craig Carter
Affiliation:
[email protected], Massachusetts Institute of Technology, Department of Materials Science and Engineering, 77 Massachusetts Ave., Cambridge, MA, 02139, United States
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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 ν (the size scaling exponent) is also estimated.

Keywords

microstructurenucleation & growthsimulation
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 1059: Symposium KK – Nanoscale Pattern Formation , 2007 , 1059-KK04-05
Copyright
Copyright © Materials Research Society 2008

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References

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