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Related papers: Variational theory for a single polyelectrolyte ch…

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Polyelectrolytes in poor solvents show a necklace structure where collapsed polymer pearls are linked to stretched strings. In the present paper the elasticity of such chains is studied in detail. Different deformation regimes are…

Soft Condensed Matter · Physics 2007-05-23 T. A. Vilgis , A. Johner , J. -F. Joanny

The wormlike chain model of stiff polymers is a nonlinear $\sigma$-model in one spacetime dimension in which the ends are fluctuating freely. This causes important differences with respect to the presently available theory which exists only…

Soft Condensed Matter · Physics 2009-11-11 H. Kleinert , A. Chervyakov

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

Starting with a model Hamiltonian, we study using the uniform expansion method conformational behavior of polyelectrolytes in the presence and absence of salt. The uniform expansion method yields all the important local length scales in the…

Statistical Mechanics · Physics 2009-09-22 Souvik De , Arti Dua

We consider the thermodynamics of a uniformly charged polyelectrolyte with harmonic bonds. For such a system there is at high temperatures an approximate scaling of global properties like the end-to-end distance and the interaction energy…

chem-ph · Physics 2016-08-15 Carsten Peterson , Ola Sommelius , Bo Söderberg

A self-consistent mode-coupling theory is presented for the viscosity of solutions of charged rod-like polymers. The static structure factor used in the theory is obtained from polymer integral equation theory; the Debye-H\"{u}ckel…

Soft Condensed Matter · Physics 2009-11-10 Kunimasa Miyazaki , Biman Bagchi , Arun Yethiraj

Variational methods are used to calculate structural and thermodynamical properties of a titrating polyelectrolyte in a discrete representation. The Coulomb interactions are emulated by harmonic repulsive forces, the force constants being…

chem-ph · Physics 2008-02-03 B. Jönsson , M. Ullner , C. Peterson , O. Sommelius , B. Söderberg

In this paper, we present a theory to efficiently deal with mechanical properties of heterogeneous polymer chain in free space and the central problem is to evaluate the diffusion equation and orientation-orientation correlation function,…

Biological Physics · Physics 2019-11-05 Ming Li , Jizeng Wang

Conformational properties of a single flexible polyelectrolyte chain in a poor solvent are studied using constant temperature molecular dynamics simulation. The effects of counterions are explicitly taken in to account. Structural…

Statistical Mechanics · Physics 2012-12-04 Anoop Varghese , Satyavani Vemparala , R. Rajesh

We investigate the phenomenon of multilayer formation via layer-by-layer deposition of alternating charge polyelectrolytes. Using mean-field theory, we find that a strong short-range attraction between the two types of polymer chains is…

Soft Condensed Matter · Physics 2012-01-31 Adi Shafir , David Andelman

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

We derive the covariant equations of motion for Maxwell field theory and electrodynamics in multiscale spacetimes with weighted Laplacian. An effective spacetime-dependent electric charge of geometric origin naturally emerges from the…

High Energy Physics - Theory · Physics 2014-01-16 Gianluca Calcagni , Joao Magueijo , David Rodríguez Fernández

Random polyampholytes (PAs) contain positively and negatively charged monomers that are distributed randomly along the polymer chain. The interaction between charges is assumed to be given by the Debye-Huckel potential. We show that the…

Statistical Mechanics · Physics 2018-08-15 Himadri S. Samanta , Debayan Chakraborty , D. Thirumalai

The combination of two techniques (Small Angle X-ray Scattering and Atomic Force Microscopy) has allowed us to measure in reciprocal and real space the correlation length $\xi$ of salt-free aqueous solutions of highly charged hydrophobic…

Soft Condensed Matter · Physics 2009-11-10 D. Baigl , R. Ober , D. Qu , A. Fery , C. E. Williams

A statistical mechanical description of flexible and semi-flexible polymer chains in a poor solvent is developed in the constant force and constant distance ensembles. We predict the existence of many intermediate states at low temperatures…

Soft Condensed Matter · Physics 2007-05-23 Sanjay Kumar , Iwan Jensen , Jesper L. Jacobsen , Anthony J. Guttmann

We investigate the time-dependent variance of the fidelity with which an initial narrow wavepacket is reconstructed after its dynamics is time-reversed with a perturbed Hamiltonian. In the semiclassical regime of perturbation, we show that…

Quantum Physics · Physics 2009-11-10 Cyril Petitjean , Philippe Jacquod

The linear and nonlinear rheological behavior of two rod-like particle suspensions as a function of concentration is studied using small amplitude oscillatory shear, steady shear and capillary breakup extensional rheometry. The rod-like…

The folding transition of single, long semiflexible polymers was studied with special emphasis on the chain length effect using Monte Carlo simulations. While a relatively short chain (10-25 Kuhn segments) undergoes a large discrete…

Soft Condensed Matter · Physics 2008-05-06 Yuji Higuchi , Takahiro Sakaue , Kenichi Yoshikawa

By means of a variational approach we study the conditions under which a polyelectrolyte in a bad solvent will undergo a transition from a rod-like structure to a ``necklace'' structure in which the chain collapses into a series of globules…

Soft Condensed Matter · Physics 2009-10-30 Francisco J. Solis , Monica Olvera de la Cruz

Recent advances in single macromolecule experiments have sparked interest in the ensemble dependence of force-extension relations. The thermodynamic limit may not be attainable for such systems, that leads to inequivalence of the…

Soft Condensed Matter · Physics 2018-07-30 Sandipan Dutta , Panayotis Benetatos