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For a wide class of noninteracting tight-binding models in one dimension we present an analytical solution for all scattering and edge states on a half-infinite system. Without assuming any symmetry constraints we consider models with…

Mesoscale and Nanoscale Physics · Physics 2020-04-14 Mikhail Pletyukhov , Dante M. Kennes , Jelena Klinovaja , Daniel Loss , Herbert Schoeller

Ligand coated nanoparticles are complex objects consisting of a metallic or semiconductor core with organic ligands grafted on their surface. These organic ligands provide stability to a nanoparticle suspension. In solutions, the effective…

Soft Condensed Matter · Physics 2022-03-01 Dinesh Chintha , Shivanand Kumar Veesam , Emanuele Boattini , Laura Filion , Sudeep N Punnathanam

The dissipation rate due to inelastic collisions between equally charged, insulating particles in a dilute granular medium is calculated. It is equal to the known dissipation rate for uncharged granular media multiplied by a Boltzmann-like…

Statistical Mechanics · Physics 2007-05-23 Tim Scheffler , Dietrich E. Wolf

Interactions between particles normally induce the decay of the particles Bloch oscillations (BOs) in a periodic lattice. In the limit of strong on-site interactions, spin-$1/2$ fermions may form doublon bound states and undergo BOs in the…

Quantum Gases · Physics 2024-11-15 Kun-Liang Zhang , Xun-Da Jiang , Yong-Yao Li

1. Introduction 2. Charged chains at infinite dilution - asymptotic properties 2.1 Definition of the model and Flory-like calculation 2.2 Variational approaches 2.3 Renormalization group calculations 2.4 Screening of electrostatic…

Condensed Matter · Physics 2007-05-23 Jean-Louis Barrat , Jean-Francois Joanny

We study the effective interaction between differently charged polyelectrolyte-colloid complexes in electrolyte solutions via Monte Carlo simulations. These complexes are formed when short and flexible polyelectrolyte chains adsorb onto…

Soft Condensed Matter · Physics 2010-05-05 D. Truzzolillo , F. Bordi , F. Sciortino , S. Sennato

The possibility to induce demixing in a colloidal mixture by adding small polymers, or other equivalent depletant agents, is theoretically investigated. By use of Mean Field Theory, suitably generalized to deal with short range effective…

Soft Condensed Matter · Physics 2015-10-28 Alberto Parola , Luciano Reatto

The behavior of polyelectrolytes between charged surfaces immersed in semi-dilute solutions is investigated theoretically. A continuum mean field approach is used for calculating numerically concentration profiles between two electrodes…

Soft Condensed Matter · Physics 2007-05-23 I. Borukhov , D. Andelman , H. Orland

Electron-electron interactions in topological p-n junctions consisting of vertically stacked topological insulators are investigated. n-type Bi2Te3 and p-type Sb2Te3 of varying relative thicknesses are deposited using molecular beam epitaxy…

Systems with long range interactions present generically the formation of quasi-stationary long-lived non-equilibrium states. These states relax to Boltzmann equilibrium following a dynamics which is not well understood. In this paper we…

Statistical Mechanics · Physics 2015-06-12 B. Marcos

We propose an analytical approximation for the dependence of the effective charge on the bare charge for spherical and cylindrical macro-ions as a function of the size of the colloid and salt content, for the situation of a unique colloid…

Soft Condensed Matter · Physics 2016-08-31 M. Aubouy , E. Trizac , L. Bocquet

The classical problem of two uniformly charged infinite planes in electrochemical equilibrium with an infinite monovalent salt reservoir is solved exactly at the mean-field nonlinear Poisson-Boltzmann (PB) level, including an explicit…

Soft Condensed Matter · Physics 2009-11-07 M. N. Tamashiro , H. Schiessel

We introduce a numerical method for investigating interfacial flows coupled with frictional solid particles. Our method combines the lattice Boltzmann method (LBM) to model the dynamics of a two-component fluid and the discrete element…

Fluid Dynamics · Physics 2025-05-16 Abhinav Naga , Xitong Zhang , Junyu Yang , Halim Kusumaatmaja

We consider an interaction of charged bodies under the following simplified conditions: the distribution of charge over each body is stable; the interaction of bodies is governed by electrical forces only. Physically, these assumptions can…

Mathematical Physics · Physics 2012-07-06 A. A. Kolpakov , A. G. Kolpakov

The general solution to the nonlinear Poisson-Boltzmann equation for two parallel charged plates, either inside a symmetric elecrolyte, or inside a 2q:-q asymmetric electrolyte, is found in terms of Weierstrass elliptic functions. From this…

Classical Physics · Physics 2010-10-26 Xiangjun Xing

The pair correlation function of charge stabilized colloidal particles under strongly sheared conditions is studied using the analytical intermediate asymptotics method recently developed in [L. Banetta and A. Zaccone, Phys. Rev. E 99,…

Soft Condensed Matter · Physics 2021-02-04 Luca Banetta , Alessio Zaccone

Density functional theory is used to describe electrolyte solutions in contact with electrodes of planar or spherical shape. For the electrolyte solutions we consider the so-called civilized model, in which all species present are treated…

Soft Condensed Matter · Physics 2017-04-24 Andreas Reindl , Markus Bier , S. Dietrich

We study the melting behavior of charged colloidal crystals, using a simulation technique that combines a continuous mean-field Poisson-Boltzmann description for the microscopic electrolyte ions with a Brownian-dynamics simulation for the…

Soft Condensed Matter · Physics 2009-11-13 J. Dobnikar , Y. Chen , R. Rzehak , H. H. von Grünberg

The total elastic stiffness of two contacting bodies with a microscopically rough interface has an interfacial contribution K that is entirely attributable to surface roughness. A quantitative understanding of K is important because it can…

Soft Condensed Matter · Physics 2013-07-30 Lars Pastewka , Nikolay Prodanov , Boris Lorenz , Martin H. Müser , Mark O. Robbins , Bo N. J. Persson

By using a well established 'ab initio' theoretical approach developed in the past to quantitatively study the superconductivity of condensed matter systems, which is based on the Kohn-Sham Density Functional theory, I study the superfluid…

Quantum Gases · Physics 2016-06-01 Francesco Ancilotto