Scaling properties of the morphological measures at the early and intermediate stages of the spinodal decomposition in homopolymer blends

Aksimentiev, Aleksij; Moorthi, Krzysztof; Hołyst, Robert

doi:10.1063/1.481178

Cited by 43 publications

(37 citation statements)

References 42 publications

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“…In the next section we present dynamic equations that were used to model SD of homopolymer blends. In Section III we show how the Euler characteristic evolution depends on the quench conditions, investigate the percolation transition from bicontinuous [25] to droplet morphology, specify two types of the droplet coarsening, and finally, describe the droplet morphology evolution. The paper ends with short concluding remarks.…”

Section: Introductionmentioning

confidence: 99%

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

Aksimentiev

Hołyst²,

Moorthi

2000

Macromol. Theory Simul.

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Section: Introductionmentioning

confidence: 99%

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

Aksimentiev

Hołyst²,

Moorthi

2000

Macromol. Theory Simul.

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“…Such a description has been successfully used to describe patterns in reaction-diffusion system [32], the cosmic microwave background temperature fluctuations [33], and patterns in phase separation of complex fluids [34][35][36][37], etc.…”

Section: Brief Review Of Morphological Characterizationmentioning

confidence: 99%

Morphological characterization of shocked porous material

Xu¹,

Zhang²,

Pan³

et al. 2009

J. Phys. D: Appl. Phys.

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Abstract. Morphological measures are introduced to probe the complex procedure of shock wave reaction on porous material. They characterize the geometry and topology of the pixelized map of a state variable like the temperature. Relevance of them to thermodynamical properties of material is revealed and various experimental conditions are simulated. Numerical results indicate that, the shock wave reaction results in a complicated sequence of compressions and rarefactions in porous material. The increasing rate of the total fractional white area A roughly gives the velocity D of a compressive-wave-series. When a velocity D is mentioned, the corresponding threshold contour-level of the state variable, like the temperature, should also be stated. When the threshold contour-level increases, D becomes smaller. The area A increases parabolically with time t during the initial period. The A(t) curve goes back to be linear in the following three cases: (i) when the porosity δ approaches 1, (ii) when the initial shock becomes stronger, (iii) when the contour-level approaches the minimum value of the state variable. The area with high-temperature may continue to increase even after the early compressive-waves have arrived at the downstream free surface and some rarefactive-waves have come back into the target body. In the case of energetic material needing a higher temperature for initiation, a higher porosity is preferred and the material may be initiated after the precursory compressive-waves have scanned all the target body. One may desire the fabrication of a porous body and choose appropriate shock strength according to what needed is scattered or connected hotspots. With the Minkowski measures, the dependence on experimental conditions is reflected simply by a few coefficients. They may be used as order parameters to classify the maps of physical variables in a similar way like thermodynamic phase transitions.Submitted to: J. Phys. D: Appl. Phys.

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“…A method to estimate the mean and Gaussian curvature from 3D digital images by means of di!erential geometry is presented in [70]. Tools of integral and di!erential geometry have also been used to describe quantitatively the morphology of homopolymer blends at di!erent spinodal decomposition stages [99].…”

Section: Block Copolymersmentioning

confidence: 99%

“…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: 99%