568
Views
37
CrossRef citations to date
0
Altmetric
Original Articles

Morphology and topology in coarsening of domains via non-conserved and conserved dynamics

, &
Pages 317-335 | Received 07 Jan 2009, Accepted 11 Aug 2009, Published online: 15 Jan 2010
 

Abstract

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.

Acknowledgements

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.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 786.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.