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Related papers: Randomly Charged Polymers: Excess Charge Dependenc…

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We study an undirected polymer chain living on the 1-dimensional integer lattice and carrying i.i.d.\ random charges. Each self-intersection of the polymer contributes to the Hamiltonian an energy that is equal to the product of the charges…

Probability · Mathematics 2016-03-23 F. Caravenna , F. Den Hollander , N. Pétrélis , J. Poisat

We discuss structural correlations in mixtures of free polymer and colloidal particles based on a microscopic, 2-component liquid state integral equation theory. Whereas in the case of polymers much smaller than the spherical particles the…

Soft Condensed Matter · Physics 2009-11-07 Matthias Fuchs , Kenneth S. Schweizer

The formation of inter-polyelectrolyte complexes from the association of oppositely charged polymers in an electrolyte is studied. The charged polymers are linear oppositely charged polyelectrolytes, with possibly a neutral block. This…

Soft Condensed Matter · Physics 2012-06-27 Vladimir A. Baulin , Emmanuel Trizac

This paper considers an undirected polymer chain on $\mathbb{Z}^d$, $d \geq 2$, with i.i.d.\ random charges attached to its constituent monomers. Each self-intersection of the polymer chain contributes an energy to the interaction…

Mathematical Physics · Physics 2018-02-14 Quentin Berger , Frank den Hollander , Julien Poisat

Characteristics of relaxed density profile and conformation of polymer chains are studied by a Monte Carlo simulation on a discrete lattice in three dimensions using different segmental (kink-jump $K$, crank-shaft $C$, reptation $R$)…

Soft Condensed Matter · Physics 2007-05-23 Frank W. Bentrem , Jun Xie , R. B. Pandey

The conformational properties of flexible and semiflexible polymers exposed to active noise are studied theoretically. The noise may originate from the interaction of the polymer with surround- ing active (Brownian) particles or from the…

Soft Condensed Matter · Physics 2024-06-03 Thomas Eisenstecken , Gerhard Gompper , Roland G. Winkler

The properties of surfaces with charge-regulated patches are studied using non-linear Poisson-Boltzmann theory. Using a mode expansion to solve the non-linear problem efficiently, we reveal the charging behaviour of Debye-length sized…

Soft Condensed Matter · Physics 2015-05-20 Niels Boon , René van Roij

Drawing an analogy to the paradigm of quasi-elastic neutron scattering, we present a general approach for quantitatively investigating the spatiotemporal dependence of structural anisotropy relaxation in deformed polymers by using…

Semi-flexible manifolds such as fluid membranes or semi-flexible polymers undergo delocalization transitions if they are subject to attractive interactions. We study manifolds with short-ranged interactions by field-theoretic methods based…

Soft Condensed Matter · Physics 2007-05-23 Ralf Bundschuh , Michael Lassig

Stretching dynamics of polymers in microfluidics is of particular interest for polymer scientists. As a charged polymer, a polyelectrolyte can be deformed from its coiled equilibrium configuration to an extended chain by applying uniform or…

Soft Condensed Matter · Physics 2014-11-18 Farnoush Farahpour , Fathollah Varnik , Mohammad Reza Ejtehadi

We have studied the adsorption of neutral polyampholytes on model charged surfaces that have been characterized by contact angle and streaming current measurements. The loop size distributions of adsorbed polymer chains have been obtained…

Soft Condensed Matter · Physics 2009-11-07 F. Ozon , J. -M. di Meglio , J. -F. Joanny

Material inhomogeneities in a superconductor generically lead to broadening of the density of states and to subgap states. The latter are associated with spatial fluctuations of the gap in which quasiparticles can be trapped. Recombination…

Superconductivity · Physics 2025-09-30 P. B. Fischer , G. Catelani

In this chapter we review the rich behavior of polymer chains embedded in a quenched random environment. We first consider the problem of a Gaussian chain free to move in a random potential with short-ranged correlations. We derive the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yadin Y. Goldschmidt , Yohannes Shiferaw

We study phase equilibria in a minimal model of charge-regulated polymer solutions. Our model consists of a single polymer species whose charge state arises from protonation-deprotonation processes in the presence of a dissolved acid, whose…

Soft Condensed Matter · Physics 2023-11-14 Giulia L. Celora , Ralf Blossey , Andreas Münch , Barbara Wagner

The number of allowed configurations of a polymer is reduced by the presence of a repulsive surface resulting in an entropic force between them. We develop a method to calculate the entropic force, and detailed pressure distribution, for…

Statistical Mechanics · Physics 2014-02-11 Yosi Hammer , Yacov Kantor

Single partially confined collapsed polymers are studied in two dimensions. They are described by self-avoiding random walks with nearest-neighbour attractions below the $\Theta$-point, on the surface of an infinitely long cylinder. For the…

Statistical Mechanics · Physics 2009-11-07 Hsiao-Ping Hsu , Peter Grassberger

The influence of ordered regions (micro crystallites and aggregates) in the other wise disordered polymer host matrix on field and temperature dependence of mobility (\mu) has been simulated. Increase in concentration of ordered regions…

Disordered Systems and Neural Networks · Physics 2007-07-05 S. Raj Mohan , M. P. Joshi , Manoranjan P. Singh

We investigate the effects of topological constraints (entanglements) on two dimensional polymer loops in the dense phase, and at the collapse transition (Theta point). Previous studies have shown that in the dilute phase the entangled…

Soft Condensed Matter · Physics 2009-11-10 Andreas Hanke , Ralf Metzler , Paul G. Dommersnes , Yacov Kantor , Mehran Kardar

We consider the statistical mechanics of a system of topologically linked polymers, such as for instance a dense solution of polymer rings. If the possible topological states of the system are distinguished using the Gauss linking number as…

Statistical Mechanics · Physics 2010-01-05 Franco Ferrari

In this note we give upper bounds for the free energy of discrete polymers in random media. The bounds are given by the so-called generalized multiplicative cascades from the statistical theory of turbulence. For the polymer model, we…

Probability · Mathematics 2007-05-23 Francis Comets , Vincent Vargas