2004
DOI: 10.1063/1.1774982
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Kinetic pathways of sheared block copolymer systems derived from Minkowski functionals

Abstract: We employ Minkowski functionals to analyze the kinetics of pattern formation under an applied external shear flow. The considered pattern formation model describes the dynamics of phase separating block copolymer systems. For our purpose, we have chosen two block copolymer systems (a melt and a solution) that exhibit a hexagonal cylindrical morphology as an equilibrium structure. Our main objective is the determination of efficient choices for the treshold values that are required for the calculation of the Mi… Show more

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Cited by 24 publications
(34 citation statements)
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“…To better quantify these findings, we have performed Minkowski Functional (MF) analysis of the solvent field 96,97 (see Fig. 11).…”
Section: Vesicles With An Intermediate Radius Of Curvaturementioning
confidence: 99%
“…To better quantify these findings, we have performed Minkowski Functional (MF) analysis of the solvent field 96,97 (see Fig. 11).…”
Section: Vesicles With An Intermediate Radius Of Curvaturementioning
confidence: 99%
“…More recently, their possible application as descriptors of biomechanical strength in bone and as new parameters for the topological analysis of mineral distribution in hip fractures have been investigated (31–33). MFs have also been considered for their discriminative potential in the polymer industry to determine the morphology of block polymers (34). MFs allow the characterization of multidimensional objects by considering shape, structure, and connectivity, which in 2D space corresponds to the MFs: area, perimeter, and genus.…”
mentioning
confidence: 99%
“…Integral geometry has been successfully used to analyze polymeric systems both in computer simulation and experiment. [43][44][45] Since we have two bead species, and our copolymers are symmetric, we have used only the A component to calculate Minkowski functionals using the marching squares algorithm. 46 Minkowski measures evaluated for M A = M B = 3, 4, 6, and 8 computed along paths of constant chemical potential but with decreasing temperature.…”
Section: Resultsmentioning
confidence: 99%