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We study the elastic behaviour of a supercoiled DNA molecule. The simplest model is that of a rod like chain, involving two elastic constants, the bending and the twist rigidities. We show that this model is singular and needs a small…

Condensed Matter · Physics 2009-10-31 Claude Bouchiat , Marc Mezard

Live cells have ambiguous mechanical properties. They were often described as either elastic solids or viscoelastic fluids and have recently been classified as soft glassy materials characterized by weak power-law rheology. Nonlinear…

Soft Condensed Matter · Physics 2013-05-30 Lars Wolff , Klaus Kroy

We examine the conformations of a model for under- and overwound DNA. The molecule is represented as a cylindrically symmetric elastic string subjected to a stretching force and to constraints corresponding to a specification of the link…

Soft Condensed Matter · Physics 2009-10-28 Boris Fain , Joseph Rudnick , Stellan Ostlund

It has become clear in recent years that the simple uniform wormlike chain model needs to be modified in order to account for more complex behavior which has been observed experimentally in some important biopolymers. For example, the large…

Soft Condensed Matter · Physics 2017-11-01 Panayotis Benetatos

Tethered particle experiments use light microscopy to measure the position of a micrometer-sized bead tethered to a microscope slide via a ~micrometer length polymer, in order to infer the behavior of the invisible polymer. Currently, this…

Biological Physics · Physics 2009-11-13 John F. Beausang , Chiara Zurla , Carlo Manzo , David Dunlap , Laura Finzi , Philip C. Nelson

DNA is increasingly employed for bio and nanotechnology thanks to its exquisite versatility and designability. Most of its use is limited to linearised and torsionally relaxed DNA but non-trivial architectures and torsionally constrained --…

Soft Condensed Matter · Physics 2020-09-22 Jan Smrek , Davide Michieletto

Unlike most synthetic materials, biological materials often stiffen as they are deformed. This nonlinear elastic response, critical for the physiological function of some tissues, has been documented since at least the 19th century, but the…

Soft Condensed Matter · Physics 2009-11-10 Cornelis Storm , Jennifer J. Pastore , Fred C. MacKintosh , Tom C. Lubensky , Paul A. Janmey

We address the general question of how the molecular weight dependence of chain dynamics in unentangled polymers is modified by blending. By dielectric spectroscopy we measure the normal mode relaxation of polyisoprene in blends with a slow…

Soft Condensed Matter · Physics 2012-02-24 Silvia Arrese-Igor , Angel Alegria , Angel J. Moreno , Juan Colmenero

When a polymer solution is uniaxially stretched and held fixed at both ends, the solution quickly separates into droplets connected by strings and takes the beads-on-string structure. The string then becomes thinner by capillary forces.…

Soft Condensed Matter · Physics 2018-09-05 Jiajia Zhou , Masao Doi

Polymers are an effective test-bed for studying topological constraints in condensed matter due to a wide array of synthetically-available chain topologies. When linear and ring polymers are blended together, emergent rheological properties…

Soft Condensed Matter · Physics 2024-04-25 Daniel L. Vigil , Ting Ge , Michael Rubinstein , Thomas C. O'Connor , Gary S. Grest

Entanglement of polymer chains is ubiquitous in elastomers, gels, and biological tissues. While the effects of chain entanglement on elasticity and viscoelasticity of polymer networks have been intensively studied, it remains elusive how…

Soft Condensed Matter · Physics 2021-12-24 Dongchang Zheng , Shaoting Lin , Jiahua Ni , Xuanhe Zhao

Current theories on the conformation and dynamics of unknotted and non-concatenated ring polymers in melt conditions describe each ring as a tree-like double-folded object. While evidence from simulations supports this picture on a single…

Soft Condensed Matter · Physics 2022-12-02 Mattia Alberto Ubertini , Jan Smrek , Angelo Rosa

The size of rings (also called cyclic polymers) in bidisperse blends of chemically identical rings is analyzed by computer simulations. Data of entangled ring blends and blends of interpenetrating rings are compared and it is shown that the…

Soft Condensed Matter · Physics 2021-03-31 Michael Lang

The structural properties of a linear polymer and its evolution in time have a strong bearing on its anisotropic stress response. The mean-square bond length and mean bond angle are the critical parameters that influence the time-varying…

Soft Condensed Matter · Physics 2010-12-30 Prashant Kumar Srivastava , Kartik Venkatraman

Entangled polymers are deformed by a strong shear flow. The shape of the polymer, called the form factor, is measured by small angle neutron scattering. However, the real-space molecular structure is not directly available from the…

Laminated glass elements, which consist of stiff elastic glass layers connected with a compliant viscoelastic polymer foil, exhibit geometrically non-linear and time/temperature-sensitive behavior. In computational modeling, the…

Computational Engineering, Finance, and Science · Computer Science 2017-12-11 Alena Zemanová , Jan Zeman , Michal Šejnoha

The symmetries of the DNA double helix require a new term in its linear response to stress: the coupling between twist and stretch. Recent experiments with torsionally-constrained single molecules give the first direct measurement of this…

Soft Condensed Matter · Physics 2008-02-03 C. S. O'Hern , Randall D. Kamien , T. C. Lubensky , Philip Nelson

We report on a computational study of the statics and dynamics of long flexible linear polymers that spontaneously knot and unknot. Specifically, the equilibrium self-entanglement properties, such as the knotting probability, knot length…

Soft Condensed Matter · Physics 2013-04-15 Luca Tubiana , Angelo Rosa , Filippo Fragiacomo , Cristian Micheletti

We investigate by means of a number of different dynamical Monte Carlo simulation methods the self-assembly of equilibrium polymers in dilute, semidilute and concentrated solutions under good-solvent conditions. In our simulations, both…

Statistical Mechanics · Physics 2009-10-31 J. P. Wittmer , P. van der Schoot , A. Milchev , J. -L. Barrat

The ongoing effort to detect and characterize physical entanglement in biopolymers has so far established that knots are present in many globular proteins and also abound in viral DNA packaged inside bacteriophages. RNA molecules, on the…

Biomolecules · Quantitative Biology 2014-10-08 Cristian Micheletti , Marco Di Stefano , Henri Orland