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A new quantitative theory for polyelectrolytes in salt free dilute solutions is developed. Depending on the electrostatic interaction strength, polyelectrolytes in solutions can undergo strong stretching (with polyelectrolyte dimension…

Soft Condensed Matter · Physics 2009-10-31 N. V. Brilliantov , D. V. Kuznetsov , R. Klein

The collapse kinetics of strongly charged polyelectrolytes in poor solvents is investigated by Langevin simulations and scaling arguments. The rate of collapse increases sharply as the valence of counterions, z, increases from one to four.…

Soft Condensed Matter · Physics 2007-05-23 Namkyung Lee , D. Thirumalai

Light scattering and viscometric measurements on weak polyelectrolytes show two important aspects of counterion condensation, namely, non-monotonic variation in the polyelectrolyte size with the increase in the electrostatic strength, and,…

Statistical Mechanics · Physics 2014-08-12 Prasanta Kundu , Arti Dua

We investigate the collapse kinetics of charged polymers (polyelectrolytes) induced by counterion condensation using coarse-grained molecular dynamics simulations. Under good solvent conditions, polyelectrolytes above the critical charge…

Soft Condensed Matter · Physics 2025-04-18 Susmita Ghosh , Satyavani Vemparala

We perform extensive molecular dynamics simulations of a highly charged flexible polyelectrolyte (PE) chain in a poor solvent for the case when the chain is in a collapsed state and the electrostatic interactions, characterized by the…

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

We explore the mechanical response of a single polyelectrolyte chain under tension in good and poor solvents using a combination of simulation and theory. In poor solvents, where the equilibrium state of the chain is a collapsed globule, we…

Soft Condensed Matter · Physics 2009-05-29 Ajay S. Panwar , Mark A. Kelly , Buddhapriya Chakrabarti , M. Muthukumar

The persistence length of a single, strongly charged, stiff polyelectrolyte chain is investigated theoretically. Path integral formulation is used to obtain the effective electrostatic interaction between the monomers. We find significant…

Soft Condensed Matter · Physics 2009-11-07 Gil Ariel , David Andelman

The charge of a polyelectrolyte (PE) controls myriads of phenomena in biology, biotechnology, and materials science, but still remains elusive from an understanding. Considering the adsorption of counterions on an isolated PE chain, an…

Soft Condensed Matter · Physics 2009-07-01 Arindam Kundagrami , M. Muthukumar

Using a continuum description, we account for fluctuations in the ionic solvent surrounding a Gaussian, charged chain and derive an effective short-ranged potential between the charges on the chain. This potential is repulsive at short…

Soft Condensed Matter · Physics 2009-11-10 Shirish M. Chitanvis

We investigate the dynamics and the pathways of the collapse of a single, semiflexible polymer in a poor solvent via 3-D Brownian Dynamics simulations. Earlier work indicates that the condensation of semiflexible polymers generically…

Soft Condensed Matter · Physics 2009-11-10 Alberto Montesi , Matteo Pasquali , F. C. MacKintosh

We perform extensive molecular dynamics simulations of a charged polymer in a good solvent in the regime where the chain is collapsed. We analyze the dependence of the gyration radius $R_g $ on the reduced Bjerrum length $\ell_B$ and find…

Soft Condensed Matter · Physics 2016-10-05 Anvy Moly Tom , Satyavani Vemparala , R. Rajesh , Nikolai V. Brilliantov

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 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

Dilute solutions of strongly charged polymer electrolytes undergo, upon addition of multivaltent salt to the solutions, a phase transition from extended conformations to collapsed or bundled ones. Upon further addition of salt they…

Soft Condensed Matter · Physics 2009-11-07 Francisco J. Solis

Using molecular dynamics simulations we study the behavior of a dilute solution of strongly charged polyelectrolytes in poor solvents, where we take counterions explicitly into account. We focus on the chain conformational properties under…

Soft Condensed Matter · Physics 2007-05-23 H. -J. Limbach , C. Holm

The effective elasticity of highly charged stiff polyelectrolytes is studied in the presence of counterions, with and without added salt. The rigid polymer conformations may become unstable due to an effective attraction induced by…

Soft Condensed Matter · Physics 2009-10-31 Ramin Golestanian , Mehran Kardar , Tanniemola B. Liverpool

Counterion distribution around an isolated flexible polyelectrolyte in the presence of a divalent salt is evaluated using the adsorption model [M. Muthukumar, J. Chem. Phys. {\bf 120}, 9343 (2004)] that considers Bjerrum length, salt…

Soft Condensed Matter · Physics 2008-12-29 Arindam Kundagrami , M. Muthukumar

Constant temperature molecular dynamics simulations were used to study solutions of flexible polyelectrolyte chains at nonzero concentrations with explicit counterions and unscreened coulombic interactions. Counterion condensation, measured…

Statistical Mechanics · Physics 2009-10-31 J. C. Chu , C. H. Mak

Using molecular dynamics simulations, it is demonstrated that monovalent counterions can induce aggregation of similarly charged rod-like polyelectrolyte chains. The critical value of the linear charge density for aggregation is shown to be…

Soft Condensed Matter · Physics 2014-05-06 Anoop Varghese , R. Rajesh , Satyavani Vemparala

The article presents a comprehensive study of counterion dynamics around a generic linear polyelectrolyte (PE) chain with the help of coarse-grained computer simulations. The ion-chain coupling is discussed in the form of binding time,…

Soft Condensed Matter · Physics 2022-04-13 Keerthi Radhakrishnan , Sunil P. Singh
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