Polydisperse star polymer solutions

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

doi:10.1103/physreve.62.6949

Cited by 40 publications

(41 citation statements)

References 60 publications

(99 reference statements)

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“…Block copolymers, like homopolymers, can be linear or branched. Two branched architectures which can be well controlled, and thus have been drawing considerable attention recently, are star polymers [52][53][54][55][56][57][58][59][60][61][62], where the chains are joined in one point, and dendrimers [60,[63][64][65][66], having a tree-like structure.…”

Section: Quasicrystals-terminology and General Frameworkmentioning

confidence: 99%

Soft quasicrystals–Why are they stable?

Lifshitz

Diamant

2007

Philosophical Magazine

105

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In the last two years we have witnessed the exciting experimental discovery of soft matter with nontrivial quasiperiodic long-range order-a new form of matter termed a soft quasicrystal. Two groups have independently discovered such order in soft matter: Zeng et al. [Nature 428 (2004) 157] in a system of dendrimer liquid crystals; and Takano et al. [J. Polym. Sci. Polym. Phys. 43 (2005) 2427] in a system of ABC star-shaped polymers. These newly discovered soft quasicrystals not only provide exciting platforms for the fundamental study of both quasicrystals and of soft matter, but also hold the promise for new applications based on self-assembled nanomaterials with unique physical properties that take advantage of the quasiperiodicity, such as complete and isotropic photonic band-gap materials. Here we provide a concise review of the emerging field of soft quasicrystals, suggesting that the existence of two natural length-scales, along with 3-body interactions, may constitute the underlying source of their stability. BackgroundThe discovery of quasicrystals by Shechtman more than two decades ago We know today that quasicrystals are more common than one had originally expected. Scores of binary and ternary metallic alloys are known to form quasicrystalline phases [22]-mostly with icosahedral or decagonal point-group symmetry-and more are being discovered all the time. Nevertheless, it is only in the last couple of years that quasicrystals have been discovered (independently) in two 1

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Section: Quasicrystals-terminology and General Frameworkmentioning

confidence: 99%

Soft quasicrystals–Why are they stable?

Lifshitz

Diamant

2007

Philosophical Magazine

105

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“…1. While in the MP representation the effective potential is purely attractive and diverging to −∞ as ρ → 0 (a result that can be proved on general grounds [48,61]), in the CM representation it is soft, attractive at short distance (ρ < 1), and with a small repulsive tail for ρ > 1. For the CM representation, four-body and five-body were also determined [31], at least for some particular polymer configurations.…”

Section: A General Theorymentioning

confidence: 99%

“…We consider Domb-Joyce (DJ) chains [117] and report results for L = 2400. For the CM representation, an accurate parametrization of u (2) (b) in the scaling limit, was determined by Pelissetto and Hansen [32], using a linear combination of three Gaussian functions: [46,48,61]. An explicit parametrization has been given by Hsu et al [47] (see their results for a two-arm star polymer)…”

Section: A General Theorymentioning

confidence: 99%

Coarse-graining polymer solutions: A critical appraisal of single- and multi-site models

D’Adamo

Menichetti

Pelissetto

et al. 2015

Eur. Phys. J. Spec. Top.

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We critically discuss and review the general ideas behind single-and multi-site coarse-grained (CG) models as applied to macromolecular solutions in the dilute and semi-dilute regime. We first consider single-site models with zero-density and density-dependent pair potentials. We highlight advantages and limitations of each option in reproducing the thermodynamic behavior and the large-scale structure of the underlying reference model. As a case study we consider solutions of linear homopolymers in a solvent of variable quality. Secondly, we extend the discussion to multi-component systems presenting, as a test case, results for mixtures of colloids and polymers. Specifically, we found the CG model with zero-density potentials to be unable to predict fluidfluid demixing in a reasonable range of densities for mixtures of colloids and polymers of equal size. For larger colloids, the polymer volume fractions at which phase separation occurs are largely overestimated. CG models with density-dependent potentials are somewhat less accurate than models with zero-density potentials in reproducing the thermodynamics of the system and, although they presents a phase separation, they significantly underestimate the polymer volume fractions along the binodal. Finally, we discuss a general multi-site strategy, which is thermodynamically consistent and fully transferable with the number of sites, and that allows us to overcome most of the limitations discussed for single-site models.

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“…Hence, it is desirable to extend the theory of effective interactions to polydisperse samples. This was done by von Ferber et al [37], using a combination of scaling ideas and computer simulations. It was established that the effective interaction v f 1 f 2 (r) between two stars of functionalities f 1 , f 2 and respective sizes σ f 1 , σ f 2 is given by the form [37]:…”

Section: Polydispersity Effects and Many-body Forcesmentioning

confidence: 99%

“…It is essentially in the limit f ≫ 1 where a description of star polymers as sterically stabilized colloidal particles holds. This polymer-colloid hybrid character of star polymers has been explored in a number of publications dealing with the structural [4,6,11,[24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] and dynamical [4,27,28,[39][40][41][42][43][44][45][46][47][48] properties of the same.…”

Section: Introductionmentioning

confidence: 99%

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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Polydisperse star polymer solutions

Cited by 40 publications

References 60 publications

Soft quasicrystals–Why are they stable?

Soft quasicrystals–Why are they stable?

Coarse-graining polymer solutions: A critical appraisal of single- and multi-site models

Star Polymers: From Conformations to Interactions to Phase Diagrams

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