Meander model of polymer melts and networks

Pechhold, W.; B�hm, M.; Soden, W. v.

doi:10.1007/bf01188356

Cited by 16 publications

(24 citation statements)

References 15 publications

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“…This unique behavior of SBS block copolymers towards chemical crosslinking differs from the known behavior in other rubbery systems, [11,17] where the frequency of the maximum as well as the activation curves of the glass process start to shift to lower frequency values after addition of much higher crosslinking concentrations (about 7 phr in the case of polyisoprene, IR). [11,15] The activation curves of the glass process of the polybutadiene (PB) phase of SBS 1101 and SBS 1102 and their dependence on crosslinking are represented in Figure 3. The activation curves are systematically shifted to lower frequencies or high temperatures as the concentration of crosslinking increases.…”

Section: Resultsmentioning

confidence: 99%

“…That is to say, the difference in the molecular weight and composition does not influence the molecular dynamics of the glass process of the PB phase in these block copolymers. The activation curves in Figure 3 have been fitted by means of the equation of the meander model, [11,15] which reads:…”

Section: Resultsmentioning

confidence: 99%

“…The relaxation spectrum broadens with increasing crosslinking concentration (Figure 4) as observed before. [11,15] Moreover, the relaxation strength of the glass process starts to decrease systematically as the concentration of crosslinking increases. The value of L in Equation (1) can be determined according to the following equation of the meander model, [11] …”

Section: Resultsmentioning

confidence: 99%

“…[11,15,22] The average s and d values are 0.455 and 0.625 nm, respectively. [19] For the noncrosslinked sample J eN equals 1.5 6 10 -6 Pa -1 .…”

Section: Resultsmentioning

confidence: 99%

See 3 more Smart Citations

Effect of Crosslinking on Block and Random Copolymers of Styrene and Butadiene

Mohammady¹,

Mansour

Soden

2001

Macromol. Chem. Phys.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

“…[11,15,22] The average s and d values are 0.455 and 0.625 nm, respectively. [19] For the noncrosslinked sample J eN equals 1.5 6 10 -6 Pa -1 .…”

Section: Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Effect of Crosslinking on Block and Random Copolymers of Styrene and Butadiene

Mohammady¹,

Mansour

Soden

2001

Macromol. Chem. Phys.

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“…23,24 From his model he estimates a dynamical correlation length of about 10 times the mean distance, i.e., about 5 nm. Pechhold [16][17][18] introduced the meander-model of polymer melts based on the clusterentropy hypothesis. Yet, meander size distributions like the ones visible in the atomic force pictures, are not yet de-scribed.…”

Section: The Key Problemmentioning

confidence: 99%

Aggregate model of liquids

Kilian

Zink

Metzler

1997

The Journal of Chemical Physics

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Articles you may be interested inMelting of α-Al2O3 and vitrification of the undercooled alumina liquid: Ab initio vibrational calculations and their thermodynamic implications J. Chem. Phys. 138, 064507 (2013); 10.1063/1.4790612 Microscopic structure and thermodynamics of a core-softened model fluid: Insights from grand canonical Monte Carlo simulations and integral equations theoryAtomic-force pictures reveal a heterogeneous microstructure at the surface of glassy layers which should be similar to one of the many equivalent microstructures a liquid is running through. These microstructures are described with the aid of a kinetic model of reversible aggregation which goes back to formulations as used in the description of living polymerization or aggregation of polymers in solution. Aggregates are considered as dynamic subsystems wherein collective modes of motions are excited. Fluctuations of the aggregates, densely packed in a disordered pattern, leads to a broad size distribution which happens to be controlled by Boltzmann's factor. The disordered structure within the aggregates themselves is optimized, reduced aggregate energy and entropy should be equal. Symmetries are deduced which elucidate many universal properties of the dynamic microstructure of liquids. Thermodynamic properties like the specific heats of aggregation in liquids or the dependence of the glass transition of homologues of linear atactic polystyrene are consistently described.

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Relaxation in the glass transition regime interpreted in terms of the aggregate model

Köpf¹,

Kilian²

1999

Acta Polym.

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The retardation time spectra in the glass transition range are discussed on hand of multidimensional deuteron NMR experiments, measurements of the dielectric loss and the T1‐relaxation of proton spins in liquids at different temperatures and different frequencies. The data can be described by applying the model of reversible aggregation. Every liquid is here characterized by a broad aggregate size distribution. Relaxation is interpreted as collective response of intra‐aggregate Debye processes running off while the aggregate ensemble fluctuates. The relaxation time increases with the volume of the aggregate so that every relaxation time distribution is strictly related to the aggregate size distribution. The shape of relaxation mode distributions is similar, the width depends on how the molecular mechanisms couple to the stationary dynamics. The coupling changes on heating so that the width of the relaxation mode distribution decreases. A full description of the α‐process needs to account for aggregate ensemble fluctuations, a bimodal relaxation mode spectrum and a heterogeneous kinetics.

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Meander model of polymer melts and networks

Cited by 16 publications

References 15 publications

Effect of Crosslinking on Block and Random Copolymers of Styrene and Butadiene

Effect of Crosslinking on Block and Random Copolymers of Styrene and Butadiene

Aggregate model of liquids

Relaxation in the glass transition regime interpreted in terms of the aggregate model

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