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Charge-stabilized colloidal suspensions can be conveniently described by formally reducing the macroion-microion mixture to an equivalent one-component system of pseudo-particles. Within this scheme, the utility of a linear response…

Soft Condensed Matter · Physics 2009-10-31 A. R. Denton

We develop a thermodynamic description of accumulation-layer heterostructures in which the induced sheet density is partitioned between the near-interface accumulation-layer charge and a complementary screening charge in the surrounding…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 Elmar Böckenhoff

We estimate polarizabilities of atoms in molecules without electron density, using a Voronoi tesselation approach instead of conventional density partitioning schemes. The resulting atomic dispersion coefficients are calculated, as well as…

Chemical Physics · Physics 2015-08-31 Tristan Bereau , O. Anatole von Lilienfeld

Elements of a new model of strong interactions are described. The model is based on an extension of electrodynamics that is derived from a regular Lagrangian density. Here the electric and magnetic fields of Maxwell equations play a…

Nuclear Theory · Physics 2007-05-23 E. Comay

The organization of water molecules and ions between charged mineral surfaces determines the stability of colloidal suspensions and the strength of phase-separated particulate gels. In this article we assemble a density functional that…

Soft Condensed Matter · Physics 2024-05-15 Thomas Petersen

We derive expressions for determination of the stress and the elastic constants in systems composed of particles interacting via non-central two-body potentials as thermal averages of products of first and second partial derivatives of the…

Statistical Mechanics · Physics 2009-11-11 Michael Murat , Yacov Kantor

We investigate the correlations between different bipartitions of an exactly solvable one-dimensional many-body Moshinsky model consisting of Nn "nuclei" and Ne "electrons". We study the dependence of entanglement on the inter-particle…

Quantum Physics · Physics 2015-02-23 P. A. Bouvrie , A. P. Majtey , M. C. Tichy , J. S. Dehesa , A. R. Plastino

An important physical model describing the dynamics of dilute weakly ionized plasmas in the collisional kinetic theory is the Vlasov-Poisson-Boltzmann system for which the plasma responds strongly to the self-consistent electrostatic force.…

Analysis of PDEs · Mathematics 2012-03-20 Renjun Duan , Tong Yang , Huijiang Zhao

Focused laser beams allow controlling mechanical motion of objects and can serve as a tool for assembling complex micro and nano structures in space. While in a vast majority of cases small particles experience attractive gradient forces…

As is well known in electrolyte theory, electrostatic fields are attenuated by the presence of mobile charges in the solution. This seems to limit the possibility of an electrostatic repulsion model of biological interactions such as cell…

Biological Physics · Physics 2012-01-04 Eshel Faraggi

The effective electrostatic interaction between a pair of colloids, both of them located close to each other at an electrolyte interface, is studied by employing the full, nonlinear Poisson-Boltzmann (PB) theory within classical density…

Soft Condensed Matter · Physics 2016-08-17 Arghya Majee , Markus Bier , S. Dietrich

We consider the response of a multicomponent body to $n$ fields, such as electric fields, magnetic fields, temperature gradients, concentration gradients, etc., where each component, which is possibly anisotropic, may cross couple the…

Materials Science · Physics 2016-02-23 Mordehai Milgrom , Graeme W. Milton

The screening of an individual low-dimensional object can be strongly influenced by the objects nearby. We propose that such environment's influence can be absorbed into an effective polarizability, instead of its intrinsic polarizability.…

Mesoscale and Nanoscale Physics · Physics 2013-03-06 Ting-Ting Kang

Amorphous media at finite temperatures, be them liquids, colloids or glasses, are made of interacting particles that move chaotically due to thermal energy, colliding and scattering continuously off each other. When the average…

Soft Condensed Matter · Physics 2017-06-27 Edan Lerner , Yoav G. Pollack , Itamar Procaccia , Birte Riechers

We study the screening of an external potential produced by a two-dimensional gas of charged excitons (trions). We determine the contribution to the dielectric function induced by these composite charged particles within a random phase…

Other Condensed Matter · Physics 2016-08-31 Cristiano Ciuti , Gerald Bastard

We investigate the screening properties of Gaussian charge models of electrolyte solutions by analysing the asymptotic behaviour of the pair distribution functions. We use a combination of Monte-Carlo simulations with the hyper-netted chain…

Soft Condensed Matter · Physics 2015-06-15 Patrick B. Warren , Andrey Vlasov , Lucian Anton , Andrew J. Masters

While the electromagnetic force is microscopically simply the Lorentz force, its macroscopic form is more complicated, and given by expressions such as the Maxwell stress tensor and the Kelvin force. Their derivation is fairly opaque, at…

Soft Condensed Matter · Physics 2012-07-23 Mario Liu , Klaus Stierstadt

From a multiple scale analysis, we find an analytic solution of spherical and cylindrical Poisson-Boltzmann theory for both a 1:2 (monovalent co-ions, divalent counter-ions) and a 2:1 (reversed situation) electrolyte. Our approach consists…

Soft Condensed Matter · Physics 2007-05-23 Gabriel Tellez , Emmanuel Trizac

We combine Maxwell's equations with Eulers's equation, related to a velocity field of an immaterial fluid, where the density of mass is replaced by a charge density. We come out with a differential system able to describe a relevant…

General Physics · Physics 2009-11-26 Daniele Funaro

We are interested in a kinetic equation intended to describe the interaction of particles with their environment. The environment is modeled by a collection of local vibrational degrees of freedom. We establish the existence of weak…

Analysis of PDEs · Mathematics 2016-03-14 Stephan De Bièvre , Arthur Vavasseur , Thierry Goudon