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At least 955 records · Page 53Linked to original sources
PubMed1999

Polymerization-induced phase separation.

A molecular dynamics simulation is performed to study the kinetics of microphase separation in a polymer-dispersed-liquid-crystal forming process. An equimolar mixture of monomers and liquid crystal molecules are thermalized in a well mixed state. The monomers are then polymerized at the same temperature. The end product is a spanning gel with liquid crystal molecules aggregating in droplets here and there. The peak position of the equal-time structure function suggests that the growth of the droplets may be described with t(-0.23). The small growth exponent is just one of several features which may be attributed to the growing elastic gel. We argue that the aggregation is driven by entropy.

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PubMed2000

Volume-term theories of phase separation in colloidal systems and long-range attractive tail in the pair potential between colloidal particles.

To explain the experimental observation that colloidal dispersion exhibits a "two-state" structure under certain conditions, Sogami and Ise (SI) proposed a model for an "effective" pair potential between colloidal particles which had an "attractive tail" more than a decade ago. The SI paper spawned several papers that dwelled on the shortcoming of the SI paper or strived to provide other explanations for the observed inhomogeneity of the suspension. We show herein that a long range attraction in the pair potential between colloidal particles is also obtained in "volume-term" theories in which the repulsive DLVO potential is retained.

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PubMed2001

Phase separation in a homogeneous shear flow: morphology, growth laws, and dynamic scaling.

We numerically investigate the influence of a homogeneous shear flow on the spinodal decomposition of a binary mixture by solving the Cahn-Hilliard equation in a two-dimensional geometry. Several aspects of this much studied problem are clarified. Our numerical data show unambiguously that, in the shear flow, the domains have on average an elliptic shape. The time evolution of the three parameters describing this ellipse is obtained for a wide range of shear rates. For the lowest shear rates investigated, we find the growth laws for the two principal axis R perpendicular (t) approximately const, R parallel (t) approximately t, while the mean orientation of the domains with respect to the flow is inversely proportional to the strain. This implies that when hydrodynamics is neglected, a shear flow does not stop the domain growth process. We also investigate the possibility of dynamic scaling, and show that only a nontrivial form of scaling holds, as predicted by a recent analytical approach to the case of a nonconserved order parameter. We show that a simple physical argument may account for these results.

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PubMed2001

Phase separation under two-dimensional Poiseuille flow.

The spinodal decomposition of a two-dimensional binary fluid under Poiseuille flow is studied by numerical simulation. We investigated time dependence of domain sizes in directions parallel and perpendicular to the flow. In an effective region of the flow, the power-law growth of a characteristic length in the direction parallel to the flow changes from the diffusive regime with the growth exponent alpha=1/3 to a new regime. The scaling invariance of the growth in the perpendicular direction is destroyed after the diffusive regime. A recurrent prevalence of thick and thin domains which determines log-time periodic oscillations has not been observed in our model. The growth exponents in the infinite system under two-dimensional Poiseuille flow are obtained by the renormalization group.

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PubMed2001

Phase separation in star-polymer-colloid mixtures.

We examine the demixing transition in star-polymer-colloid mixtures for star arm numbers f=2,6,16,32 and different star-polymer-colloid size ratios 0.18< or =q< or =0.50. Theoretically, we solve the thermodynamically self-consistent Rogers-Young integral equations for binary mixtures using three effective pair potentials obtained from direct molecular computer simulations. The numerical results show a spinodal instability. The demixing binodals are approximately calculated and found to be consistent with experimental observations.

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PubMed2004

Autocorrelation functions for phase separation in ternary mixtures.

We present numerical and analytical results for the autocorrelation functions which characterize domain growth in ternary mixtures. The numerical results are obtained from Monte Carlo simulations of the spin-1 Blume-Emery-Griffiths model with spin-exchange kinetics. Further, we model the autocorrelation functions using an approach based on the continuous-time random walk formalism. The aging property of these functions is related to the time dependence of the domain-size distribution. Our analytical results are found to be in good agreement with the numerical data.

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PubMed2006

Lattice Boltzmann simulations of phase separation in chemically reactive binary fluids.

We use a lattice Boltzmann method to study pattern formation in chemically reactive binary fluids in the regime where hydrodynamic effects are important. The coupled equations solved by the method are a Cahn-Hilliard equation, modified by the inclusion of a reactive source term, and the Navier-Stokes equations for conservation of mass and momentum. The coupling is twofold, resulting from the advection of the order parameter by the velocity field and the effect of fluid composition on pressure. We study the evolution of the system following a critical quench for a linear and for a quadratic reaction source term. Comparison is made between the high and low viscosity regimes to identify the influence of hydrodynamic flows. In both cases hydrodynamics is found to influence the pathways available for domain growth and the eventual steady states.

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