Schematic representation
of the solidification-induced formation
of a 2D network of percolating structures with enhanced heat-transfer
properties. In the liquid state (left figure), the clusters are randomly
dispersed. During phase transition (middle figure), needlelike structures
develop and the clusters experience a stress field, which drives them
toward the grain boundaries. The formation of a quasi-2D percolating
network is complete in the solid state (right figure), which causes
a large enhancement in thermal conductivity. The inset shows the expanded
view of a cluster, where the backbones and dead ends consisting of
individual nanoinclusions are seen. Thermal conductivity enhancement
within a cluster is primarily through phonon-mediated heat transfer
via the interconnected backbones, which span the entire length of
a cluster.