Scaling Theory of Swelling and Deswelling of Polymer Networks

Yamamoto, T.; Campbell, Jonathan A.; Panyukov, Sergey; Rubinstein, Michael

doi:10.1021/acs.macromol.1c02553

Cited by 14 publications

(13 citation statements)

References 32 publications

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“…We take advantage of tetra-PEG gels pioneered by Sakai and colleagues because the network contains a regular structure with fewer defects than common networks and attains elasticity consistent with the phantom network model (Fig. 1A) (25)(26)(27)(28). We show here that a DELSE can, unlike the tetra-PEG gel or common elastomers, achieve ultrahigh SIC.…”

Section: Introductionsupporting

confidence: 52%

An elastomer with ultrahigh strain-induced crystallization

Hartquist,

Lin,

Zhang

et al. 2023

Sci. Adv.

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Strain-induced crystallization (SIC) prevalently strengthens, toughens, and enables an elastocaloric effect in elastomers. However, the crystallinity induced by mechanical stretching in common elastomers (e.g., natural rubber) is typically below 20%, and the stretchability plateaus due to trapped entanglements. We report a class of elastomers formed by end-linking and then deswelling star polymers with low defects and no trapped entanglements, which achieve strain-induced crystallinity of up to 50%. The deswollen end-linked star elastomer (DELSE) reaches an ultrahigh stretchability of 12.4 to 33.3, scaling beyond the saturated limit of common elastomers. The DELSE also exhibits a high fracture energy of 4.2 to 4.5 kJ m −2 while maintaining low hysteresis. The heightened SIC and stretchability synergistically promote a high elastocaloric effect with an adiabatic temperature change of 9.3°C.

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Section: Introductionsupporting

confidence: 52%

An elastomer with ultrahigh strain-induced crystallization

Hartquist,

Lin,

Zhang

et al. 2023

Sci. Adv.

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“…The elastic free energy density is the elastic energy of each chain , multiplied by the volume density ϕ /( b 3 N e ) of DNA in the network (Rubinstein and Colby, 2003, Yamamoto et al, 2022), Eq. (11) is simplified to by using eq.…”

Section: Methodsmentioning

confidence: 99%

Elasticity control of entangled chromosomes: crosstalk between condensin complexes and nucleosomes

Yamamoto

Kinoshita

Hirano

2022

Preprint

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Condensin-mediated loop extrusion is now considered the main driving force of mitotic chromosome assembly. Recent experiments have shown, however, that a class of mutant condensin complexes deficient in loop extrusion can assemble abnormal chromosome-like structures in Xenopus egg extracts. In the absence of topoisomerase II (topo II), the mutant condensin complexes produce an unusual round-shaped structure termed a `bean', which is composed of a DNA-dense central core surrounded by a DNA-sparse halo. The mutant condensin complexes accumulate in the core whereas histones are more concentrated in the halo than in the core. To get insights into how the bean structure is formed, here we construct a theoretical model. Our theory predicts that the core is produced by the attractive interactions between mutant condensin complexes whereas the halo is stabilized by the energy reduction by the selective accumulation of nucleosomes. The formation of the halo increases the elastic free energy due to the DNA entanglement in the core, but the latter free energy is compensated by condensin complexes that protect DNAs from nucleosome assembly. Understanding this peculiar structure is likely to enrich our understanding of how DNA entanglements, nucleosomes, and condensin functionally cross-talk with each other.

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“…The modulus of strongly deswollen slide-ring networks is higher than the modulus of phantom networks because it is dominated by the contribution of fluctuations in the number of monomers between slide-rings, and this contribution increases linearly with the volume fraction as G ≃ k B T ν 0 (ϕ/ϕ 0 ). Note that the predicted concentration dependence of the modulus of deswollen slide-ring gels is even stronger than that of the nonaffine loopy globule model of entangled networks in θ-solvent ( G ≈ ϕ 7/9 ) …”

mentioning

confidence: 88%

“…Note that the predicted concentration dependence of the modulus of deswollen slide-ring gels is even stronger than that of the nonaffine loopy globule model of entangled networks in θsolvent (G ≈ ϕ 7/9 ). 32 We performed multichain bead−spring molecular dynamics simulations that allow spatial fluctuations of rings and compared the simulation results with the predictions of the phantom slide-ring (PSR) model (see section 7 in the Supporting Information). The slide-rings are modeled as seven-membered rings that can freely slide along the bead− spring primary chains.…”

mentioning

confidence: 99%

Elasticity of Slide-Ring Gels

et al. 2023

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Slide-ring gels are polymer networks with crosslinks that can slide along the chains. In contrast to conventional unentangled networks with cross-links fixed along the chains, the slide-ring networks are strain-softening and distribute tension much more uniformly between their strands due to the so-called "pulley effect". The sliding of cross-links also reduces the elastic modulus in comparison with the modulus of conventional networks with the same number density of cross-links and elastic strands. We develop a single-chain model to account for the redistribution of monomers between network strands of a primary chain. This model takes into account both the pulley effect and fluctuations in the number of monomers per network strand. The pulley effect leads to modulus reduction and uniform tension redistribution between network strands, while fluctuations in the number of strand monomers dominate the strain-softening, the magnitude of which decreases upon network swelling and increases upon deswelling.

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Scaling Theory of Swelling and Deswelling of Polymer Networks

Cited by 14 publications

References 32 publications

An elastomer with ultrahigh strain-induced crystallization

An elastomer with ultrahigh strain-induced crystallization

Elasticity control of entangled chromosomes: crosstalk between condensin complexes and nucleosomes

Elasticity of Slide-Ring Gels

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