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We study the properties of polyelectrolyte chains under different solvent conditions, using a variational technique. The free energy and the conformational properties of a polyelectrolyte chain are studied minimizing the free energy $F_N$,…

Soft Condensed Matter · Physics 2009-11-07 Gabriele Migliorini , Vakhtang Rostiashvili , Namkyung Lee , Thomas A. Vilgis

We study the link between three seeming-disparate cases of self-avoiding polymers: strongly overlapping multiple chains in dilute solution, chains under spherical confinement, and the onset of semi-dilute solutions. Our main result is that…

Biological Physics · Physics 2007-05-23 Suckjoon Jun , Axel Arnold , Bae-Yeun Ha

We address the effects of chain connectivity on electrostatic fluctuations in polyelectrolyte solutions using a field-theoretic, renormalized Gaussian fluctuation (RGF) theory. As in simple electrolyte solutions (Z.-G. Wang, Phys. Rev. E.…

Statistical Mechanics · Physics 2017-04-05 Kevin Shen , Zhen-Gang Wang

Counterion adsorption on a flexible polyelectrolyte chain in a spherical cavity is considered by taking a "permuted" charge distribution on the chain so that the "adsorbed" counterions are allowed to move along the backbone. We compute the…

Soft Condensed Matter · Physics 2009-03-27 Rajeev Kumar , Arindam Kundagrami , M. Muthukumar

We present a set of molecular dynamics (MD) simulations of strongly charged, flexible polyelectrolyte chains under poor solvent conditions in a salt free solution. Structural properties of the chains and of the solutions are reported. By…

Soft Condensed Matter · Physics 2007-05-23 Uwe Micka , Christian Holm , Kurt Kremer

Studies of the thermodynamics of complex coacervation of pairs of symmetric, strongly ionizable, oppositely charged polyelectrolyte chains are abundant. To generalize such understanding to asymmetric chain lengths and variable ionizability…

Soft Condensed Matter · Physics 2023-06-07 Souradeep Ghosh , Soumik Mitra , Arindam Kundagrami

We investigate the behavior of single polyelectrolytes in multivalent salt solutions under the action of electric fields through computer simulations. The chain is unfolded in a strong electric field and aligned parallel to the field…

Soft Condensed Matter · Physics 2008-10-21 Pai-Yi Hsiao , Kun-Mao Wu

We present a numerical study of polyelectrolytes electrophoresing in free solution while squeezed by an axisymmetric confinement force transverse to their net displacement. Hybrid multi-particle collision dynamics and molecular dynamics…

Soft Condensed Matter · Physics 2016-06-22 Tyler N. Shendruk , Martin Bertrand , Gary W. Slater

Monte Carlo simulations are used to study the conformational behavior of a semiflexible polymer confined to cylindrical and conical channels. The channels are sufficiently narrow that the conditions for the Odijk regime are marginally…

Soft Condensed Matter · Physics 2020-12-02 James M. Polson , Cameron G. Hastie

Conformation of single polyelectrolytes in tetravalent salt solutions is investigated under the framework of a coarse-grained model, using Langevin dynamics simulations. The chain size, studied by the radius of gyration, shows three…

Soft Condensed Matter · Physics 2009-09-29 Yu-Fu Wei , Pai-Yi Hsiao

Interplay of Coulomb interaction energy, free ion entropy, and conformational elasticity is a fascinating aspect in polyelectrolytes (PEs). We develop a theory for complexation of two oppositely charged PEs, a process known to be the…

Soft Condensed Matter · Physics 2022-09-15 Soumik Mitra , Arindam Kundagrami

As a model of soft confinement for polymers, we investigated equilibrium shapes of a flexible vesicle that contains a phase-separating polymer solution. To simulate such a system, we combined the phase field theory (PFT) for the vesicle and…

Biological Physics · Physics 2015-06-19 Yutaka Oya , Toshihiro Kawakatsu

We develop a first-principle equation of state of salt-free polyelectrolyte solution in the limit of infinitely long flexible polymer chains in the framework of a field-theoretical formalism beyond the linear Debye-Hueckel theory and…

Soft Condensed Matter · Physics 2015-08-04 Yu. A. Budkov , A. L. Kolesnikov , N. Georgi , E. A. Nogovitsyn , M. G. Kiselev

In this study, we propose a theoretical framework to investigate the interactions between flexible polymer chains, specifically polyelectrolytes (PEs). By calculating the system's free energy while considering position-dependent mutual…

Soft Condensed Matter · Physics 2024-05-13 Souradeep Ghosh

We demonstrate that a highly charged polyelectrolyte confined in a spherical cavity undergoes reversible transformations between amorphous conformations to a four-fold symmetry morphology as a function of dielectric mismatch between the…

Soft Condensed Matter · Physics 2019-08-20 Trung Dac Nguyen , Monica Olvera de la Cruz

We study, using Density Functional theory and Monte Carlo simulations, aqueous electrolyte solutions between charged infinite planar surfaces, in a contact with a bulk salt reservoir. In agreement with recent experimental observations [Z.…

Soft Condensed Matter · Physics 2016-09-21 Thiago Colla , Matheus Girotto , Alexandre P. dos Santos , Yan Levin

Monte Carlo simulations are used to study the translocation of a polymer into a cavity. Modeling the polymer as a hard-sphere chain with a length up to N=601 monomers, we use a multiple-histogram method to measure the variation of the…

Soft Condensed Matter · Physics 2021-03-25 James M. Polson , David R. Heckbert

The collapse of flexible polyelectrolytes in a solution of multivalent counterions is studied by means of a two state model. The states correspond to rod-like and spherically collapsed conformations respectively. We focus on the very dilute…

Soft Condensed Matter · Physics 2009-10-31 Francisco J. Solis , Monica Olvera de la Cruz

We apply extensive Molecular Dynamics simulations and analytical considerations in order to study the conformations and the effective interactions between weakly charged, flexible polyelectrolyte chains in salt-free conditions. We focus on…

Soft Condensed Matter · Physics 2009-11-10 Martin Konieczny , Christos N. Likos , Hartmut Löwen

It has recently been shown that a free energy for Baxter's sticky hard sphere fluid is uniquely defined within the framework of fundamental measure theory (FMT) for the inhomogeneous hard sphere fluid, provided that it obeys scaled-particle…

Soft Condensed Matter · Physics 2015-06-03 Hendrik Hansen-Goos , Mark A. Miller , J. S. Wettlaufer
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