Theory of unsymmetric polymer–polymer interfaces

Helfand, Eugene; Sapse, Anne‐Marie

doi:10.1063/1.430632

Cited by 442 publications

(313 citation statements)

References 10 publications

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“…Moreover they do not follow the Gibbs equation [31]. Poser and Sanchez theory [10] is similar to our one except that their gradient coefficient is kept constant while a mean field theory predicts a ø -1 dependence [27,32].…”

Section: Physics Abstractsmentioning

confidence: 85%

Study of the surface tension of polymer solutions: theory and experiments in theta solvent conditions

et al. 1983

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Resumé. 2014 Abstract. 2014 A study of the surface tension of semi-dilute polymer solutions in theta solvent conditions is presented. Theoretical predictions are given for the two cases when the interface is attractive or repulsive. The Cahn approach for the interfacial tension is used in order to calculate the interfacial tension in the mean field theory of polymer solutions. The measurements, were performed on two polymer theta solvent systems : polydimethylsiloxanebromocyclohexane at 29 °C and polystyrene-cyclohexane at 34°C for the attractive and repulsive cases respectively. The well-known ring method was used. The agreement between theory and experiments is good. The theoretical predictions and the results are compared with those obtained in good solvent case that we reported.in a previous paper. The transition 03B8 solvent-good solvent is studied for the attractive system.

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Section: Physics Abstractsmentioning

confidence: 85%

Study of the surface tension of polymer solutions: theory and experiments in theta solvent conditions

et al. 1983

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“…Be aware that our derivation is specific to the case where A and B segments have equal statistical length (i.e., a = a A = a B ). For the general case of a A = a B , the interfacial profile deviates from the sigmodial shape [38], and thus one needs to solve the Euler-Lagrange equation for φ(z).…”

Section: Discussionmentioning

confidence: 99%

Entropic segregation of short polymers to the surface of a polydisperse melt

Mahmoudi

Matsen

2017

Eur. Phys. J. E

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Abstract.Chain ends are known to have an entropic preference for the surface of a polymer melt, which in turn is expected to cause the short chains of a polydisperse melt to segregate to the surface. Here, we examine this entropic segregation for a bidisperse melt of short and long polymers, using self-consistent field theory (SCFT). The individual polymers are modeled by discrete monomers connected by freely-jointed bonds of statistical length a, and the field is adjusted so as to produce a specified surface profile of width ξ. Semi-analytical expressions for the excess concentration of short polymers, δφ s(z), the integrated excess, θ s, and the entropic effect on the surface tension, γen, are derived and tested against the numerical SCFT. The expressions exhibit universal dependences on the molecular-weight distribution with model-dependent coefficients. In general, the coefficients have to be evaluated numerically, but they can be approximated analytically once ξ a. We illustrate how this can be used to derive a simple expression for the interfacial tension between immiscible A-and B-type polydisperse homopolymers.

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“…Based on the typical value in Ref. [49], the force is in the order of nN, which is in the range of Ref. [50].…”

Section: Resultsmentioning

confidence: 99%

Morphology Transformation of a Polymeric Micelle Induced by Two Encapsulated Particles

Zhang

Xiang

2014

Acta Phys. Pol. A

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We begin with a pair of spherical particles encapsulated in a micelle and solve the problem within the selfconsistent eld theory to investigate the morphology transformation of the micelle induced by two nano-particles. The micelles are based on amphiphilic diblock copolymer AB in homopolymer A solvents. The nano-particles are simple models of proteins or colloids. We predict dierent micelle structures, and relate these morphologies to particle sizes, distances between two particles, and chemical potentials of the amphiphile molecules. There are found complex structures of the micelle induced by the twin particles: many reverse micelles only with even numbers or only one micelle attached at one of the two particles. These results are of immediate interests to the interactions of micelles and particles, as well as to the transitions between vesicles and micelles.

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Theory of unsymmetric polymer–polymer interfaces

Cited by 442 publications

References 10 publications

Study of the surface tension of polymer solutions: theory and experiments in theta solvent conditions

Study of the surface tension of polymer solutions: theory and experiments in theta solvent conditions

Entropic segregation of short polymers to the surface of a polydisperse melt

Morphology Transformation of a Polymeric Micelle Induced by Two Encapsulated Particles

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