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

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.