The morphology of topologically complex interfaces

Using a method for characterizing the spatial correlations of interfacial curvature in topologically complex structures, the correlations of mean interfacial curvature for bicontinuous structures produced using nonconserved and conserved dynamics are examined. In both cases the analysis has identified characteristic length scales of these complex structures, related to, in the nonconserved case, the distance between high-curvature tunnels, and in the conserved case, correlations and anticorrelations between regions of curvature of opposite sign.