TY - JOUR
T1 - Morphology and topology in coarsening of domains via non-conserved and conserved dynamics
AU - Kwon, Yongwoo
AU - Thornton, K.
AU - Voorhees, P. W.
N1 - Funding Information:
This work was supported by the National Aeronautics and Space Administration, and the Office of Naval Research and DARPA as part of the Dynamic 3-D Digital Structure Program. KT acknowledges financial support from the DOE under Grant No. DE-FG02-05ER46191.
PY - 2010/1
Y1 - 2010/1
N2 - We investigate the late-stage coarsening of three-dimensional two-phase structures using non-conserved and conserved dynamics. Mixtures with a volume fraction of a phase of 50% are studied for non-conserved and conserved dynamics, and systems with volume fractions of 22%, 30%, 36%, and 40% are studied for conserved dynamics. The morphology and topology are quantified using the interfacial shape distribution and the genus, respectively. For systems with 50% volume fraction evolving via both dynamics and 36% and 40% mixtures evolving via conserved dynamics, we find that domains are bicontinuous and have time-invariant scaled morphologies and topologies. Each bicontinuous mixture yields a unique scaled interfacial shape distribution. However, all these mixtures have similar scaled topologies, yielding similar values (0.134 0.004) in the scaled genus density. Additionally, these bicontinuous mixtures are different from the topology of Schoen's G surface that has been considered previously as a good model for such bicontinuous mixtures. For volume fractions of 22% and 30%, the mixtures are not bicontinuous.
AB - We investigate the late-stage coarsening of three-dimensional two-phase structures using non-conserved and conserved dynamics. Mixtures with a volume fraction of a phase of 50% are studied for non-conserved and conserved dynamics, and systems with volume fractions of 22%, 30%, 36%, and 40% are studied for conserved dynamics. The morphology and topology are quantified using the interfacial shape distribution and the genus, respectively. For systems with 50% volume fraction evolving via both dynamics and 36% and 40% mixtures evolving via conserved dynamics, we find that domains are bicontinuous and have time-invariant scaled morphologies and topologies. Each bicontinuous mixture yields a unique scaled interfacial shape distribution. However, all these mixtures have similar scaled topologies, yielding similar values (0.134 0.004) in the scaled genus density. Additionally, these bicontinuous mixtures are different from the topology of Schoen's G surface that has been considered previously as a good model for such bicontinuous mixtures. For volume fractions of 22% and 30%, the mixtures are not bicontinuous.
KW - Phase boundaries
KW - Phase decomposition
KW - Phase transformations
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U2 - 10.1080/14786430903260701
DO - 10.1080/14786430903260701
M3 - Article
AN - SCOPUS:77949524147
SN - 1478-6435
VL - 90
SP - 317
EP - 335
JO - Philosophical Magazine
JF - Philosophical Magazine
IS - 1-4
ER -