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The behavior of a polyelectrolyte adsorbed on a charged substrate of high-dielectric constant is studied by both Monte-Carlo simulation and analytical methods. It is found that in a low enough ionic strength medium, the adsorption…

Soft Condensed Matter · Physics 2007-05-23 Chi-Ho Cheng , Pik-Yin Lai

We consider a system which consists of a Cahn-Hilliard equation coupled with a Cahn-Hilliard-Oono equation in a bounded domain of $\mathbb{R}^d$, $d = 2, 3$. This system accounts for macrophase and microphase separation in a polymer mixture…

Analysis of PDEs · Mathematics 2022-03-25 Andrea Di Primio , Maurizio Grasselli

We consider systematic numerical approximation of a viscoelastic phase separation model that describes the demixing of a polymer solvent mixture. An unconditionally stable discretisation method is proposed based on a finite element…

Numerical Analysis · Mathematics 2024-07-08 Aaron Brunk , Herbert Egger , Oliver Habrich , Maria Lukacova-Medvidova

The two-band Hubbard model is used to analyze a possibility of a non-uniform charge distribution in a strongly correlated electron system with two types of charge carriers. It is demonstrated that in the limit of strong on-site Coulomb…

Strongly Correlated Electrons · Physics 2009-11-13 A. O. Sboychakov , K. I. Kugel , A. L. Rakhmanov

We report results from a molecular dynamics (MD) simulation on the conformations of a long flexible polyelectrolyte complexed to a charged sphere, \textit{both negatively charged}, in the presence of neutralizing counterions in the strong…

Soft Condensed Matter · Physics 2009-11-07 Rene Messina , Christian Holm , Kurt Kremer

We theoretically study mixtures of chemically-interacting particles, which produce or consume a chemical to which they are attracted or repelled, in the most general case of many coexisting species. We find a new class of active phase…

Soft Condensed Matter · Physics 2019-07-15 Jaime Agudo-Canalejo , Ramin Golestanian

In this paper we present a detailed analytical study of the phase diagram and of the structural properties of a field theoretic model with a short-range attraction and a competing long-range screened repulsion. We provide a full derivation…

Soft Condensed Matter · Physics 2009-11-13 Marco Tarzia , Antonio Coniglio

This study applies response theory to investigate electron charge dynamics, with a particular focus on charge separation. We analytically assess the strengths and limitations of linear and quadratic response theories in describing charge…

Materials Science · Physics 2026-02-11 Lionel Lacombe , Lucia Reining , Vitaly Gorelov

We study phase separation in a dilute two-component Fermi system with attractive interactions as a function of the coupling strength and the polarization or number density asymmetry between the two components. In weak and strong couplings…

Quantum Gases · Physics 2020-01-29 Heron Caldas

In this work we investigated the phase behavior of melts of block-copolymers with one charged block by means of dissipative particle dynamics with explicit electrostatic interactions. We assumed that all the Flory-Huggins \c{hi} parameters…

Soft Condensed Matter · Physics 2019-06-12 Alexey A. Gavrilov , Alexander V. Chertovich , Igor I. Potemkin

We investigate theoretically the phase diagram of an insoluble charged surfactant monolayer in contact with a semi-dilute polyelectrolyte solution (of opposite charge). The polyelectrolytes are assumed to have long-range and attractive…

Soft Condensed Matter · Physics 2012-07-19 Adi Shafir , David Andelman

Molecular dynamics simulations are used to study the local dynamics of counterion-charged polymer association at charge densities above and below the counterion condensation threshold. Surprisingly, the counterions form weakly-interacting…

Soft Condensed Matter · Physics 2009-11-13 Tak Shing Lo , Boris Khusid , Joel Koplik

We explore interactions between equally charged surfaces, in the presence of simple salt and either neutral or monovalently charged polyampholytes. We consider the possibility of using these charged polymers as crude models of ion clusters.…

Soft Condensed Matter · Physics 2026-03-19 David Ribar , Clifford E Woodward , Jan Forsman

We consider a general model of a heterogeneous polymer chain fluctuating in the proximity of an interface between two selective solvents. The heterogeneous character of the model comes from the fact that the monomer units interact with the…

Probability · Mathematics 2009-09-29 Francesco Caravenna , Giambattista Giacomin , Lorenzo Zambotti

We study discrete linear divergence-form operators with random coefficients, also known as the random conductance model. We assume that the conductances are bounded, independent and stationary; the law of a conductance may depend on the…

Probability · Mathematics 2017-02-10 Arianna Giunti , Jean-Christophe Mourrat

Realistic charged macromolecules are characterized by discrete (rather than homogeneous) charge distributions. We investigate the effects of surface charge discretization on the counterion distribution at the level of mean-field theory…

Soft Condensed Matter · Physics 2007-05-23 Mark L. Henle , Christian D. Santangelo , Deena M. Patel , Philip A. Pincus

Aggregation of two oppositely charged colloids in salty water is studied. We focus on the role of Coulomb interaction in strongly asymmetric systems in which the charge and size of one colloid is much larger than the other one. In the…

Soft Condensed Matter · Physics 2009-11-10 R. Zhang , B. I. Shklovskii

We study a set of models of self-propelled particles that achieve collective motion through similar alignment-based dynamics, considering versions with and without repulsive interactions that do not affect the heading directions. We explore…

Soft Condensed Matter · Physics 2021-10-27 Yinong Zhao , Thomas Ihle , Zhangang Han , Cristián Huepe , Pawel Romanczuk

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

Lithium-ion batteries rely on particulate porous electrodes to realize high performance, especially the fast-charging capability. To minimize the particle-wise reaction heterogeneities that may lead to local hot spots, deeper understandings…

Materials Science · Physics 2022-04-15 Shubham Agrawal , Peng Bai