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Due to their unique structural and mechanical properties, randomly-crosslinked polymer networks play an important role in many different fields, ranging from cellular biology to industrial processes. In order to elucidate how these…

We reveal significant qualitative differences in the rigidity transition of three types of disordered network materials: randomly diluted spring networks, jammed sphere packings, and stress-relieved networks that are diluted using a…

Soft Condensed Matter · Physics 2015-04-13 Wouter G. Ellenbroek , Varda F. Hagh , Avishek Kumar , M. F. Thorpe , Martin van Hecke

We start from a variational model for nematic elastomers that involves two energies: mechanical and nematic. The first one consists of a nonlinear elastic energy which is influenced by the orientation of the molecules of the nematic…

Analysis of PDEs · Mathematics 2017-06-30 Carlos Mora-Corral , Marcos Oliva

Despite their considerable practical and biological applications, the link between molecular properties, assembly conditions and self-organized structure in confined polymer solutions remains elusive. Here, we explore the lyotropic nematic…

Soft Condensed Matter · Physics 2023-03-21 Maxime M. C. Tortora , Daniel Jost

Semiflexible polymers such as filamentous actin play a vital role in the mechanical behavior of cells, yet the basic properties of cross-linked F-actin networks remain poorly understood. To address this issue, we have performed numerical…

Soft Condensed Matter · Physics 2009-11-10 D. A. Head , A. J. Levine , F. C. MacKintosh

We consider the impact of the elastomer network on the structure and fluctuations in the isotropic-genesis nematic elastomer, via a phenomenological model that underscores the role of network compliance. The model contains a…

Soft Condensed Matter · Physics 2015-06-04 Bing-Sui Lu , Fangfu Ye , Xiangjun Xing , Paul M. Goldbart

The low-energy part of vibration spectrum in PbMg$_{1/3}$Nb$_{2/3}$O$_3$ relaxor ferroelectric was studied by inelastic neutron scattering. We observed the coexistence of a resolution-limited central peak with strong quasielastic…

Materials Science · Physics 2007-05-23 S. N. Gvasaliya , S. G. Lushnikov , B. Roessli

We describe a phase transition that gives rise to structurally non-trivial states in a two-dimensional ordered network of particles connected by harmonic bonds. Monte Carlo simulations reveal that the network supports, apart from the…

Soft Condensed Matter · Physics 2017-04-05 Saswati Ganguly , Jürgen Horbach , Peter Sollich , Parswa Nath , Smarajit Karmakar , Surajit Sengupta

We explore the effect of random permanent cross-links on a system of directed polymers confined between two planes with their end-points free to slide on them. We treat the cross-links as quenched disorder and we use a semimicroscopic…

Soft Condensed Matter · Physics 2010-02-22 Stephan Ulrich , Annette Zippelius , Panayotis Benetatos

Motivated by the structure of networks of cross-linked cytoskeletal biopolymers, we study the orientationally ordered phases in two-dimensional networks of randomly cross-linked semiflexible polymers. We consider permanent cross-links which…

Soft Condensed Matter · Physics 2011-03-08 Martin Kiemes , Panayotis Benetatos , Annette Zippelius

The quasi-equilibrium evolution of the helical fraction occurring in a biopolymer network (gelatin gel) under an applied stress has been investigated by observing modulation in its optical activity. Its variation with the imposed chain…

Soft Condensed Matter · Physics 2009-11-11 S. Courty , J. L. Gornall , E. M. Terentjev

Disordered soft materials, such as fibrous networks in biological contexts exhibit a nonlinear elastic response. We study such nonlinear behavior with a minimal model for networks on lattice geometries with simple Hookian elements with…

Soft Condensed Matter · Physics 2015-03-13 M. Sheinman , C. P. Broedersz , F. C. MacKintosh

We aimed to use finite element method to simulate the unique behaviors of liquid crystal elastomer, such as semi-soft elasticity, stripe domain instabilities etc. We started from an energy functional with the 2D Bladon-Warner-Terentjev…

Numerical Analysis · Mathematics 2010-09-10 Chong Luo , Maria-Carme Calderer

We perform equilibrium Langevin dynamics simulations to understand the structure-viscoelasticity relationship of a dually crosslinked reversible polymer network. The cross-linking is achieved by introducing orthogonal crosslinkers (A and B)…

Soft Condensed Matter · Physics 2023-11-01 Mounika Gosika , Angel J. Moreno

Thermally-driven semi-crystalline polymer networks are capable to achieve both the one-way shape-memory effect and two-way shape-memory effect under stress and stress-free conditions, therefore representing an appealing class of polymers…

Liquid crystal elastomers are cross-linked polymer networks covalently bonded with liquid crystal mesogens. In the nematic phase, due to strong coupling between mechanical strain and orientational order, these materials display…

Soft Condensed Matter · Physics 2011-11-04 Badel L. Mbanga , Fangfu Ye , Jonathan V. Selinger , Robin L. B. Selinger

Electronic nematicity is rarely observed as an isolated instability of a correlated electron system. Instead, in iron pnictides and in certain cuprates and heavy-fermion materials, nematicity is intertwined with an underlying spin-stripe or…

Strongly Correlated Electrons · Physics 2022-09-21 W. Joe Meese , Thomas Vojta , Rafael M. Fernandes

The phase diagram of electron-doped pnictides is studied varying the temperature, electronic density, and isotropic quenched disorder strength by means of computational techniques applied to a three-orbital ($xz$, $yz$, $xy$) spin-fermion…

Superconductivity · Physics 2015-10-28 Shuhua Liang , Christopher B. Bishop , Adriana Moreo , Elbio Dagotto

The cytoskeleton is an inhomogeneous network of semi-flexible filaments, which are involved in a wide variety of active biological processes. Although the cytoskeletal filaments can be very stiff and embedded in a dense and cross-linked…

Biological Physics · Physics 2019-05-24 Ines Weber , Cécile Appert-Rolland , Grégory Schehr , Ludger Santen

Nematic polymeric networks are (heat and light) activable materials, which combine the features of rubber and nematic liquid crystals. When only the stretching energy of a thin sheet of nematic polymeric network is minimized, the intrinsic…

Soft Condensed Matter · Physics 2020-08-05 O. Ozenda , A. M. Sonnet , E. G. Virga