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Related papers: Variational theory for a single polyelectrolyte ch…

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We study investigate a long, thin rectangular elastic membrane that is bent through an angle $2 \alpha$, using the Foppl--von Karman ansatz in a geometrically linear setting. We study the associated variational problem, and show the…

Analysis of PDEs · Mathematics 2007-05-23 Shankar Venkataramani

In this paper we revisit the problem of a (non self-avoiding) polymer chain in a random medium which was previously investigated by Edwards and Muthukumar (EM). As noticed by Cates and Ball (CB) there is a discrepancy between the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yadin Y. Goldschmidt

While analyzing the persistence length of DNA atomistic simulations Wu et al. [J. Chem. Phys. 142, 125103 (2015)] introduced an empirical formula to account for the observed length-dependence. In particular they found that the persistence…

Soft Condensed Matter · Physics 2021-10-26 Midas Segers , Enrico Skoruppa , Jan A. Stevens , Merijn Vangilbergen , Aderik Voorspoels , Enrico Carlon

In a recent Letter, Gurovitch and Sens studied the adsorption of a weakly charged polyelectrolyte chain onto an oppositely charged colloidal particle. By using a variational technique they found that the colloidal particle can adsorb a…

Soft Condensed Matter · Physics 2009-10-31 Ramin Golestanian

We compute the free energy of confinement ${\cal{F}}$ for a wormlike chain (WLC), with persistence length $l_p$, that is confined to the surface of a cylinder of radius $R$ under an external tension $f$ using a mean field variational…

Soft Condensed Matter · Physics 2023-11-28 Greg Morrison , D. Thirumalai

Based on the variational field theory framework, we extend our previous mean-field formalism, taking into account the electrostatic correlations of the ions. We employ a general covariant approach and derive a total stress tensor that…

Soft Condensed Matter · Physics 2024-05-09 Yury A. Budkov , Petr E. Brandyshev

Inspired by recent experiments and simulations on pattern formation in biomolecules by optical tweezers, a theoretical description based on reference interaction site model (RISM) integral equation method is developed to calculate the…

Soft Condensed Matter · Physics 2016-02-17 Sandipan Dutta , Y. S. Jho

Self-consistent theory for concentrated electrolytes is developed. Oscillatory decay of the charge-charge correlation function with the decay length that shows perfect agreement with the experimentally discovered and so far unexplained…

Soft Condensed Matter · Physics 2021-08-11 A. Ciach , O. Patsahan

The standard model for diffuse charge phenomena in colloid science, electrokinetics and biology is the Poisson-Boltzmann mean-field theory, which breaks down for multivalent ions and large surface charge densities due to electrostatic…

Soft Condensed Matter · Physics 2020-02-14 J. Pedro de Souza , Martin Z. Bazant

We study the behavior of single linear polyelectrolytes condensed by trivalent salt under the action of electric fields through computer simulations. The chain is unfolded when the strength of the electric field is stronger than a critical…

Soft Condensed Matter · Physics 2011-08-26 Yu-Fu Wei , Pai-Yi Hsiao

A weakly charged flexible polyelectrolyte chain in a neutral spherical cavity is analyzed using self-consistent field theory (SCFT) within an explicit solvent model. Assuming the radial symmetry for the system, it is found that the…

Soft Condensed Matter · Physics 2009-11-13 Rajeev Kumar , M. Muthukumar

We study the dynamical response of a single semiflexible polymer chain based on the theory developed by Hallatschek et al. for the wormlike-chain model. The linear viscoelastic response under oscillatory forces acting at the two chain ends…

Soft Condensed Matter · Physics 2009-11-03 T. Hiraiwa , T. Ohta

We study the effect of impurities on the ground state and the low-temperature dc transport in a 1D chain and quasi-1D systems of many parallel chains. We assume that strong interactions impose a short-range periodicicity of the electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. M. Fogler , S. Teber , B. I. Shklovskii

A formula is derived for stiffness of a polymer chain in terms of the distribution function of end-to-end vectors. This relationship is applied to calculate the stiffness of Gaussian chains (neutral and carrying electric charges at the…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

The rupture of a polymer chain maintained at temperature $T$ under fixed tension is prototypical to a wide array of systems failing under constant external strain and random perturbations. Past research focused on analytic and numerical…

Soft Condensed Matter · Physics 2021-03-03 Harish Charan , Alex Hansen , H. G. E. Hentschel , Itamar Procaccia

The behavior of highly charged short rod-like polyelectrolytes near oppositely charged planar surfaces is investigated by means of Monte Carlo simulations. A detailed microstructural study, including monomer and fluid charge distribution,…

Soft Condensed Matter · Physics 2009-11-11 Rene Messina

Similarly-charged polyelectrolytes are known to attract each other and aggregate into bundles when the charge density of the polymers exceeds a critical value that depends on the valency of the counterions. The dynamics of aggregation of…

Soft Condensed Matter · Physics 2016-09-22 Anvy Moly Tom , R. Rajesh , Satyavani Vemparala

We study the influence of some quenched disorder in the sequence of monomers on the entropic elasticity of long polymeric chains. Starting from the Kratky-Porod model, we show numerically that some randomness in the favoured angles between…

Statistical Mechanics · Physics 2009-10-30 D. Bensimon , D. Dohmi , M. Mezard

We consider an electron-phonon system in two and three dimensions on square, hexagonal and cubic lattices. The model is a modification of the standard Holstein model where the optical branch is appropriately curved in order to have a…

Statistical Mechanics · Physics 2009-10-31 N. Macris , C. -A. Piguet

We study the complex formation between one long polyanion chain and many short oligocation chains by computer simulations. We employ a coarse-grained bead-spring model for the polyelectrolyte chains, and model explicitly the small salt…

Soft Condensed Matter · Physics 2017-02-14 Jiajia Zhou , Matthias Barz , Friederike Schmid
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