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Related papers: The Swelling of Olympic Gels

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Concatenation and equilibrium swelling of Olympic gels, which are composed of entangled cyclic polymers, is studied by Monte Carlo Simulations. The average number of concatenated molecules per cyclic polymers, $f_n$, is found to depend on…

Soft Condensed Matter · Physics 2021-03-30 Michael Lang , Jakob Fischer , Marco Werner , Jens-Uwe Sommer

Different methods for creating Olympic gels are analyzed using computer simulations. First ideal reference samples are obtained from freely interpenetrating semi-dilute solutions and melts of cyclic polymers. The distribution of pairwise…

Soft Condensed Matter · Physics 2021-05-26 Jakob Fischer , Michael Lang , Jens-Uwe Sommer

In this note we present a scaling theory for the elasticity of olympic gels, i.e., gels where the elasticity is a consequence of topology only. It is shown that two deformation regimes exist. The first is the non affine deformation regime…

Soft Condensed Matter · Physics 2009-10-30 T. A. Vilgis , M. Otto

We present an experimentally guided, multi-phase, multi-species polyelectrolyte gel model to make quantitative predictions on the electro-chemical properties of articular cartilage. The mixture theory consists of two different types of…

Tissues and Organs · Quantitative Biology 2013-08-22 Sarthok Sircar , Elizabeth Aisenbrey , Stephanie J. Bryant , David M. Bortz

We present a pedagogical review of the swelling thermodynamics and phase transitions of polymer gels. In particular, we discuss how features of the volume phase transition of the gel's osmotic equilibrium is analogous to other transitions…

Soft Condensed Matter · Physics 2019-06-13 Michael S. Dimitriyev , Ya-Wen Chang , Paul M. Goldbart , Alberto Fernández-Nieves

We study theoretically using scaling arguments the behavior of polyelectrolyte gels in poor solvents. Following the classical picture of Katchalsky, our approach is based on single chain elasticity but it accounts for the recently proposed…

Soft Condensed Matter · Physics 2007-05-23 T. A. Vilgis , A. Johner , J. -F. Joanny

Polymer gels such as jellies and soft contact lenses are soft solids consisting of three-dimensional polymer networks swollen with a large amount of solvent. For approximately 80 years, the swelling of polymer gels has been described using…

Soft Condensed Matter · Physics 2022-12-12 Naoyuki Sakumichi , Takashi Yasuda , Takamasa Sakai

Physically assembled gels have promising applications in many fields because of their tunable mechanical properties. Here, we report the mechanical properties as a function of polymer volume fraction ($\phi$) for a physical gel system…

Soft Condensed Matter · Physics 2020-03-31 Satish Mishra , Rosa Maria Badani Prado , Santanu Kundu

It is well-known that the swelling behavior of ionic nanogels depends on their cross-link density, however it is unclear how different topologies should affect the response of the polyelectrolyte network. Here we perform Monte Carlo…

Soft Condensed Matter · Physics 2016-03-23 Leandro G. Rizzi , Yan Levin

Surface creasing in swelling polymer gels is commonly attributed to compressive strain or interlayer mismatch, yet its general control remains unclear. Here we show that solvent polymerization degree $N_{\rm s}$ provides an independent…

We use molecular dynamics simulations to study the swelling of randomly end-cross-linked polymer networks in good solvent conditions. We find that the equilibrium degree of swelling saturates at Q_eq = N_e**(3/5) for mean strand lengths N_s…

Soft Condensed Matter · Physics 2009-10-31 Mathias Puetz , Ralf Everaers , Kurt Kremer

When a gel absorbs solvent from surrounding, stress field is created in the gel, and this causes complex dynamics of the swelling behavior. Here we study this effect for disk-shaped gel by rigorously solving the diffusio-mechanical coupling…

Soft Condensed Matter · Physics 2021-05-17 Xingkun Man , Masao Doi

We investigate with numerical simulations the molecular origin of viscosity in melts of flexible and semiflexible oligomer rings in comparison to corresponding systems with linear chains. The strong increase of viscosity with ring stiffness…

Soft Condensed Matter · Physics 2023-07-28 Ranajay Datta , Fabian Berressem , Friederike Schmid , Arash Nikoubashman , Peter Virnau

The swelling kinetics of charged polymer gels reflect the complex competition among elastic, mixing, and ionic contributions. Here, we used dynamic light scattering to investigate the collective diffusion coefficient of model gels, whose…

Soft Condensed Matter · Physics 2024-02-01 Shoei Sano , Takashi Yasuda , Takeshi Fujiyabu , Naoyuki Sakumichi , Takamasa Sakai

We study the effects of charge-regulated acid/base equilibrium on the swelling of polyelectrolyte gels, by considering a combination of the Poisson-Boltzmann theory and a two-site charge-regulation model based on the Langmuir adsorption…

Soft Condensed Matter · Physics 2023-08-02 Bin Zheng , Yael Avni , David Andelman , Rudolf Podgornik

We investigate the static shear viscosity on the sol side of the vulcanization transition within a minimal mesoscopic model for the Rouse-dynamics of a randomly crosslinked melt of phantom polymers. We derive an exact relation between the…

Statistical Mechanics · Physics 2009-10-31 Kurt Broderix , Henning Loewe , Peter Mueller , Annette Zippelius

The swelling dynamics of polymer gels are characterized by the (collective) diffusion coefficient $D$ of the polymer network. Here, we measure the temperature dependence of $D$ of polymer gels with controlled homogeneous network structures…

We generalize a recently investigated lattice model of semiflexible polymers formed under equilibrium polymerization in a solution and conduct a comprehensive investigation of its melting properties. The model is characterized by six…

Condensed Matter · Physics 2007-05-23 Sagar S. Rane , P. D. Gujrati

Swelling is a volumetric-growth process in which a porous material expands by spontaneous imbibition of additional pore fluid. Swelling is distinct from other growth processes in that it is inherently poromechanical: Local expansion of the…

Soft Condensed Matter · Physics 2025-05-13 Thibault Bertrand , Jorge Peixinho , Shomeek Mukhopadhyay , Christopher W. MacMinn

We study model near-critical polymer gelling systems made of gluten proteins dispersions stabilized at different distances from the gel point. We impose different shear rates and follow the time evolution of the stress. For sufficiently…

Soft Condensed Matter · Physics 2024-07-18 Ameur Louhichi , Marie-Hélène Morel , Laurence Ramos , Amélie Banc
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