Model of reversible aggregation: universal features of fluctuating ensembles

Kilian, H. G.; Koepf, Matthieu; Vettegren, V. I.

doi:10.1007/3-540-45405-5_32

Cited by 25 publications

(23 citation statements)

References 10 publications

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“…Here, a, ∆u 0 /kT, and d 0 = y 0 1/2 are tuned (adjusted) parameters (their values are listed in Fig. 3) whereas p is a fixed parameter (p = 1 in agreement with the 2D version of the model of reversible aggregation used herein (Kilian et al, 2001)). …”

Section: Fig 3 Statistic Distribution Of the Micro-domain Diameter mentioning

confidence: 99%

“…The number of unit-to-unit contacts y in an aggregate is defined as y = y a -1. The aggregation energy ∆u [J] should therefore grow proportional to y: (Kilian et al, 1997(Kilian et al, , 2001Köpf and Kilian, 1999):…”

Section: Modelmentioning

confidence: 99%

“…Over the last few years, the current model has been successfully applied to the description of ensemble structural entities in polymers showing different chemical structures (Kilian et al, 1997(Kilian et al, , 2001Köpf and Kilian, 1999;Bronnikov and Sukhanova, 2001;Bronnikov et al, 2002), nuclei in liquid crystals during their transition from a isotropic liquid to a nematic phase (Zuev and Bronnikov, 2002), carbon black particles in natural rubber (Köpf and Kilian, 1999;Kilian et al, 2001), bacteria, and yeast (Kilian et al, 2001). …”

Section: Modelmentioning

confidence: 99%

See 2 more Smart Citations

Recognition and Statistical Size Distribution of Microdomains in Tem-Images of Polyimide Films During Their Processing

Bronnikov¹,

Sukhanova²

2011

Image Anal Stereol

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The surface morphology of polyamic acid films evolving under heating towards polyimide films is investigated with transmission electron microscopy. Micro-domains observed at the surface of the films are treated statistically and shown to form optimized statistical ensemble(s). The statistical size distribution of the micro-domains is described with the model of reversible aggregation. The distribution parameters, namely the aggregation energy and the mean diameter of micro-domains, are shown to depend on the chemical structure of the polymer and the heating temperature.

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Section: Fig 3 Statistic Distribution Of the Micro-domain Diameter mentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

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Recognition and Statistical Size Distribution of Microdomains in Tem-Images of Polyimide Films During Their Processing

Bronnikov¹,

Sukhanova²

2011

Image Anal Stereol

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“…В работе [35] исследовали кластеризацию различного вида объек-тов -трещин, нанодефектов, пятен коррозии, бактерий и т.д. при уве-личении их концентрации.…”

Section: теплоемкость композитовunclassified

Долговечность Полимерных Композитов

Башкарев¹,

Веттегрень²,

Суслов³

2016

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“…The model explains why aggregates of different size are generated across chemical/physical processes in a liquid system. The universality of the model has been shown by its application to statistical ensembles of carbon-black particles [5], spherulites in isotactic poly(methylmethacrylate) [5,6], microdomains of polyamic acids during their transformation to polyimides [7], defects of metallographic samples under tensile loading [6], bacteria and yeast in the course of their growth [5], and the ordered phase droplets in liquid crystalline systems [8,9], and in many other systems. A similar approach, we estimate, could successfully be applied to the formation of PU foams reinforced with nanofillers.…”

Section: Introductionmentioning

confidence: 99%

Synthesis and mechanical characterization of nanoparticle-infused polyurethane foams. Statistical analysis of foam morphology

Pikhurov¹,

Zuev²

2016

Nanosystems: Phys. Chem. Math.

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Nanocomposite polyurethane (PU) foams filled with different loadings (0.1 -0.7 wt.%) of nanosized silica (average grain size of ∼ 7 and 12 nm) and organonanoclay were prepared by the prepolymer method, and their mechanical properties were investigated. A statistical analysis of the size distribution for foam cells was successfully applied in order to characterize their morphology. The developed approach was shown to provide a detailed analysis of the morphology development in PU foams, including the primary cell formation and their subsequent break-up and coalescence. The degree of phase separation in nanocomposite polyurethane foams, which is dependent on the nanofiller, was calculated from the IR spectra. The presence of silica nanoparticles and organoclays gives rise to significant differences in the mechanical (stress-strain) properties of the nanocomposite polyurethane foams relative to the pure polymer.

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Model of reversible aggregation: universal features of fluctuating ensembles

Cited by 25 publications

References 10 publications

Recognition and Statistical Size Distribution of Microdomains in Tem-Images of Polyimide Films During Their Processing

Recognition and Statistical Size Distribution of Microdomains in Tem-Images of Polyimide Films During Their Processing

Долговечность Полимерных Композитов

Synthesis and mechanical characterization of nanoparticle-infused polyurethane foams. Statistical analysis of foam morphology

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