Kinetics of the droplet formation at the early and intermediate stages of the spinodal decomposition in homopolymer blends

Aksimentiev, Aleksij; Hołyst, Robert; Moorthi, Krzysztof

doi:10.1002/1521-3919(20001101)9:8<661::aid-mats661>3.0.co;2-6

Cited by 10 publications

(12 citation statements)

References 29 publications

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“…The mesh size must be always smaller than the smallest length in the problem, which was not obeyed in the work of Kotnis and Muthukumar. The strong dependence of the evolution during the phase separation on the mesh size has also been recently confirmed in the CHC model with the noise term 13, 14. The slowing down of the domain growth was observed always close to the spinodal.…”

Section: Introductionsupporting

confidence: 61%

“…According to Equation (19), one expects that in the late stages $k_{{\rm av}} \sim t^{ ‐ 1/3}$ . According to the scaling hypothesis, at the late stages of the SD, the exponent n also determines the behavior of all quantities characterizing the morphology of the phase interface 13–15…”

Section: Growth Laws and The Morphology Of The Phase Interfacementioning

confidence: 99%

“…It has been found that symmetric blends exhibit bicontinuous morphology11 in contrast to the asymmetric blends, where the droplets morphology has been established 12. The morphological evolution of the interface at the early and intermediate SD stages has recently been investigated in the computer simulations13–17 based on the CHC model.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamics of Phase Separation in Polymer Blends Revisited: Morphology, Spinodal, Noise, and Nucleation

Fiałkowski

Hołyst

2008

Macro Theory & Simulations

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The properties of the model B of mesoscopic dynamic with the Flory–Huggins free energy for the homopolymer blend are discussed. We focus on the rescaling of the spatial coordinates in the model and demonstrate that the commonly used rescaling of the spatial coordinates by the function vanishing at the spinodal leads to the unphysical pinning of the domains. The proper rescaling function for the spatial variables which avoids the unphysical pinning of the domain growth at the spinodal is proposed. We discuss in detail the evolution of morphological measures during separation in homopolymer blends and the problem of nucleation close to the spinodal.magnified image

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Section: Introductionsupporting

confidence: 61%

Section: Growth Laws and The Morphology Of The Phase Interfacementioning

confidence: 99%

See 1 more Smart Citation

Dynamics of Phase Separation in Polymer Blends Revisited: Morphology, Spinodal, Noise, and Nucleation

Fiałkowski

Hołyst

2008

Macro Theory & Simulations

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“…Disregarding this problem, the average domain size alone cannot give a complete morphological characterization of the domain structure. For this purpose MIA is very useful [14,21,22,96,99,105].…”

Section: Complex Surfacesmentioning

confidence: 96%

Integral-geometry morphological image analysis

2001

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“…In the late stage we have either a dilute gas of droplets of the minority phase in the sea of the majority phase, a dense system of droplets in the matrix of majority phase, or the interpenetrating network of A-rich and B-rich domains which coarsen in time. One observe crossover between the interpenetrating network and the dense system of droplets which occurs 18,19 at the volume fraction 0.3 of the minority phase. The growth rate and the growth mechanism for the first case is described by the LSW law.…”

Section: Introductionmentioning

confidence: 99%

Coalescence-Induced Coalescence and Dimensional Crossover during the Phase Separation in Ternary Surfactant/Polymer/Water Mixtures

2005

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We studied the separation process in the ternary mixtures of nonionic surfactant (C(12)E(6), hexaethylene glycol monododecyl ether), polymer (PEG = poly(ethylene glycol)), and water. The separation process of PEG/water rich domains from the surfactant rich matrix was observed by the optical microscopy. From the morphological analysis, we determined the size of the domains as a function of time. On this basis we identified a dominating mechanisms of domains growth, that is the coalescence-induced coalescence mechanism. The coalescence (collision) event of two droplets induces a flow or a change of concentration distribution around droplets which pushes other droplets together inducing further growth. We also observed the evaporation-condensation (Lifshitz-Slyozov) mechanism of growth, but it did not affect the growth of large domains appreciably. We determined two regimes of the coalescence-induced coalescence associated with the dimensionality of the system. When the domains were smaller or comparable in size to the sample thickness we observe a three-dimensional growth. When the domains became larger than the sample thickness, a two-dimensional growth was observed. In the first regime, the size of the domains, L(t), grew linearly with t, while in the second regime, L(t) approximately t(0.3). In the binary, surfactant/water system, water domains grew by the geometrical coalescence-induced coalescence as L(t) approximately t in three dimensions.

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Kinetics of the droplet formation at the early and intermediate stages of the spinodal decomposition in homopolymer blends

Cited by 10 publications

References 29 publications

Dynamics of Phase Separation in Polymer Blends Revisited: Morphology, Spinodal, Noise, and Nucleation

Dynamics of Phase Separation in Polymer Blends Revisited: Morphology, Spinodal, Noise, and Nucleation

Integral-geometry morphological image analysis

Coalescence-Induced Coalescence and Dimensional Crossover during the Phase Separation in Ternary Surfactant/Polymer/Water Mixtures

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