Colloids with polymer stars: the interaction

Ferber, Christian von; Holovatch, Yu.; Jusufi, Arben; Likos, Christos N.; Löwen, Hartmut; Watzlawek, M.

doi:10.1016/s0167-7322(01)00223-9

Cited by 11 publications

(14 citation statements)

References 18 publications

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“…This is consistent with simulations and renormalization group theory. 13 At longer distances an exponential decay is found for both F and f, as expected.…”

Section: Hybrid Mc-scf Methodssupporting

confidence: 81%

Molecular modeling of intermolecular and intramolecular excluded volume interactions for polymers at interfaces

Charlaganov

Leermakers

2009

The Journal of Chemical Physics

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A hybrid modeling approach is proposed for inhomogeneous polymer solutions. The method is illustrated for the depletion problem with polymer chains up to N =10 3 segments in semidilute solutions and good solvent conditions. In a three-dimensional volume, a set of freely jointed chains is considered for which the translational degrees of freedom are sampled using a coarse grained Monte Carlo simulation and the conformational degrees of freedom of the chains are computed using a modified self-consistent field theory. As a result, both intramolecular and intermolecular excluded volume effects are accounted for, not only for chains near the surface, but in the bulk as well. Results are consistent with computer simulations and scaling considerations. More specifically, the depletion thickness, which is a measure for the bulk correlation length, scales as ␦ ϰ −0.75 and converges to the mean field result in the concentrated regime.

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“…This is consistent with simulations and renormalization group theory. 13 At longer distances an exponential decay is found for both F and f, as expected.…”

Section: Hybrid Mc-scf Methodssupporting

confidence: 81%

Molecular modeling of intermolecular and intramolecular excluded volume interactions for polymers at interfaces

Charlaganov

Leermakers

2009

The Journal of Chemical Physics

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“…For f = 2, it yields for the prefactor αf 3/2 the value 0.786, which is very close to the exact value 0.8 calculated by means of renormalization group techniques by des Cloizeaux [72]. Moreover, recent renormalization group calculations show that the functional form (5/18)f 3/2 yields excellent agreement with the 'exact' value, at least up to f = 6 [73][74][75][76].…”

Section: Theorysupporting

confidence: 71%

Star Polymers: From Conformations to Interactions to Phase Diagrams

Likos¹,

Harreis²

2002

Condens. Matter Phys.

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We review recent progress achieved in the theoretical description of the interactions, correlations, and phase behavior of concentrated solutions of star polymers, sterically stabilized colloids, and micelles. We show that the theoretical prediction of an ultrasoft, logarithmically diverging effective interaction between the star centers, which has been confirmed by SANSexperiments and computer simulations, lies in the core of a host of unusual phenomena encountered in such systems. These include anomalous structure factors, reentrant melting behavior, as well as a variety of exotic crystal phases. Extensions to polydisperse stars and the role of many-body forces are also discussed. A particular 'mean-field' character of star polymer fluids is presented and it is shown that it manifests itself in the shape and structure of sedimentation profiles of these systems.

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“…This assumption nicely reproduces the contact exponents as derived from 3-loop perturbation theory [9] as is displayed in table 5 taken from the [33]. In table 5 we use the approximate values of η f to calculate the cone estimation of the contact exponents and compare these with the corresponding values of a renormalization group calculation.…”

Section: Colloids With Polymer Stars: the Interactionsupporting

confidence: 68%

“…Numerical values for the exponent λ mn as well as perturbation theory expansions for them follow from tables 2, 3 and are analyzed in detail in [9,[42][43][44]. Here, let us analyze several particular cases for an absorbing m-star with a reactant trap at its core and simply absorbing traps along all chains:…”

Section: Diffusion-controlled Reactions In Presence Of Polymersmentioning

confidence: 99%

Field-Theoretical Renormalization Group Analysis for the Scaling Exponents of Star Polymers

Ferber¹,

Holovatch²

2002

Condens. Matter Phys.

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We review recent results of the field theoretical renormalization group analysis on the scaling properties of star polymers. We give a brief account of how the numerical values of the exponents governing the scaling of star polymers were obtained as well as provide some examples of the phenomena governed by these exponents. In particular we treat the interaction between star polymers in a good solvent, the Brownian motion near absorbing polymers, and diffusion-controlled reactions involving polymers.

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Colloids with polymer stars: the interaction

Cited by 11 publications

References 18 publications

Molecular modeling of intermolecular and intramolecular excluded volume interactions for polymers at interfaces

Molecular modeling of intermolecular and intramolecular excluded volume interactions for polymers at interfaces

Star Polymers: From Conformations to Interactions to Phase Diagrams

Field-Theoretical Renormalization Group Analysis for the Scaling Exponents of Star Polymers

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