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Author presents mathematical model for acting-on-a-distance attractive and repulsive forces based on propagation of energy waves that produces Newton expression for gravitational and Coulomb expression for electrostatic forces. Model uses…

General Physics · Physics 2023-04-05 Alexei Krouglov

We consider a physical model where the total energy is governed by surface tension and attractive screened Coulomb potential on the 3-dimensional space. We obtain different periodic equilibrium patterns i.e. stationary sets for this energy,…

Analysis of PDEs · Mathematics 2017-11-30 Mouhamed Moustapha Fall

Short-range repulsion governs the dynamics of matter from atoms to animals. Using theory, simulations, and experiments, we find that an ensemble of repulsive particles spreads compactly with a sharp boundary, in contrast to the diffusive…

Soft Condensed Matter · Physics 2024-06-17 Matan Yah Ben Zion , Naomi Oppenheimer

Systems with long-range (LR) forces, for which the interaction potential decays with the interparticle distance with an exponent smaller than the dimensionality of the embedding space, remain an outstanding challenge to statistical physics.…

Statistical Mechanics · Physics 2016-03-23 Yan Levin , Renato Pakter , Felipe B. Rizzato , Tarcísio N. Teles , Fernanda P. da C. Benetti

In this paper, we perform molecular dynamics (MD) simulations to study the two-dimensional packing process of both monosized and random size particles with radii ranging from $1.0 \, \mu m$ to $7.0 \, \mu m$. The system was allowed to…

Soft Condensed Matter · Physics 2017-12-01 Carlos Handrey Araujo Ferraz , Samuel Apolinário Marques

We consider a pair of identical fermions with a short-range attractive interaction on a finite lattice cluster in the presence of strong site disorder. This toy model imitates a low density regime of the strongly disordered Hubbard model.…

Disordered Systems and Neural Networks · Physics 2024-01-11 Lolita I. Knyazeva , Vladimir I. Yudson

Dynamic processes in dispersions of charged spherical particles are of importance both in fundamental science, and in technical and bio-medical applications. There exists a large variety of charged-particles systems, ranging from…

Soft Condensed Matter · Physics 2013-11-25 G. Nägele , M. Heinen , A. J. Banchio , C. Contreras-Aburto

Throughout physics, stable composite objects are usually formed via attractive forces, which allow the constituents to lower their energy by binding together. Repulsive forces separate particles in free space. However, in a structured…

Other Condensed Matter · Physics 2007-05-23 K. Winkler , G. Thalhammer , F. Lang , R. Grimm , J. Hecker Denschlag , A. J. Daley , A. Kantian , H. P. Buechler , P. Zoller

The bare Coulomb interaction between two like-charges is repulsive. When these charges are immersed in an electrolyte, the thermal fluctuations of the ions turn the bare Coulomb interaction into an effective interaction between the two…

Statistical Mechanics · Physics 2023-03-15 Gabriel Tellez

We investigate the statistical mechanics of an inhomogeneous Coulomb fluid composed of charged particles with static polarizability. We derive the weak- and the strong-coupling approximations and evaluate the partition function in a planar…

Soft Condensed Matter · Physics 2013-04-22 Vincent Démery , David S. Dean , Rudolf Podgornik

We consider a mathematical model for a two-particle system driven by the spatial gradient of a concentration field of chemicals with conservative attractive interactions in one dimension. This setup corresponds to an experimental system…

Pattern Formation and Solitons · Physics 2022-11-24 Yuhei Hirose , Yusuke Yasugahira , Mamoru Okamoto , Yuki Koyano , Hiroyuki Kitahata , Masaharu Nagayama , Yutaka Sumino

The Poisson-Boltzmann (PB) theory is extensively used to gain insight on charged colloids and biological systems as well as to elucidate fundamental properties of intermolecular forces. Many works were devoted in the past to study PB…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman

We study the phase behavior of a classical system of particles interacting through a strictly convex soft-repulsive potential which, at variance with the pairwise softened repulsions considered so far in the literature, lacks a region of…

Soft Condensed Matter · Physics 2009-09-17 Franz Saija , Santi Prestipino , Gianpietro Malescio

Soft, repulsive run-and-tumble particles display emergent effective interactions as they appear to stick to each other in spite of the absence of attractive forces. This effective attraction emerges at strong enough repulsion and large…

Statistical Mechanics · Physics 2026-05-05 Rosalba Garcia-Millan , Ziluo Zhang , Luca Cocconi , Marius Bothe , Letian Chen , Zigan Zhen , Gunnar Pruessner

We show that amphiphilic and colloidal systems with competing interactions can be described by the same Landau-Brazovskii functional. The functional is obtained by a systematic coarse-graining procedure applied tosystems with isotropic…

Soft Condensed Matter · Physics 2013-08-15 A. Ciach , J. Pekalski , W. T. Gozdz

Both linear and nonlinear Langevin equations are derived directly from the Liouville equation for an exactly solvable model consisting of a Brownian particle of mass $M$ interacting with ideal gas molecules of mass $m$ via a quadratic…

Statistical Mechanics · Physics 2009-11-10 Alexander V. Plyukhin , Jeremy Schofield

Using a theoretical model we show that ideal ring polymers are stronger depletants than ideal linear polymers of equal radii of gyration, but not of equal hydrodynamic radii. The difference in the depletion-induced force profile is largely…

Soft Condensed Matter · Physics 2025-10-14 Mauro L. Mugnai

The Poisson-Boltzmann approach gives asymptotically exact counter-ion density profiles around charged objects in the weak-coupling limit of low valency and high temperature. In this paper we derive, using field-theoretic methods, a theory…

Soft Condensed Matter · Physics 2009-10-31 Andre G. Moreira , Roland R. Netz

We study the local violation of P and CP invariance in heavy ion collisions as observed at RHIC and LHC using a simple "deformed QCD" model. This model is a weakly coupled gauge theory, which however has all the relevant crucial elements…

High Energy Physics - Phenomenology · Physics 2015-06-11 Ariel R. Zhitnitsky

The slow dynamics for a colloidal suspension of particles interacting with a hard-core repulsion complemented by a short-ranged attraction is discussed within the frame of mode-coupling theory for ideal glass transitions for parameter…

Soft Condensed Matter · Physics 2007-05-23 Matthias Sperl