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In this paper, the initial value problem for the Debye--Hueckel drift-diffusion equation is studied. This equation was introduced as a model describing plasma behavior and is also known as a simulation model of MOSFET, and so its solution…

Analysis of PDEs · Mathematics 2026-04-29 Masakazu Yamamoto

The behaviour and stability of soft and biological matter depend significantly on electrostatic interactions, as particles such as proteins and colloids acquire a charge when dispersed in an electrolytic solution. A typical simplification…

Soft Condensed Matter · Physics 2025-05-09 Andraž Gnidovec , Emanuele Locatelli , Simon Čopar , Anže Božič , Emanuela Bianchi

We explore the effects arising due to the coupling of the center of mass and relative motion of two charged particles confined on an inhomogeneous helix with a locally modified radius. It is first proven that a separation of the center of…

Classical Physics · Physics 2015-06-03 A. V. Zampetaki , J. Stockhofe , S. Krönke , P. Schmelcher

We calculate the nonequilibrium dynamic evolution of a one-dimensional system of two-component fermionic atoms after a strong local quench by using a time-dependent spin-density-functional theory. The interaction quench is also considered…

Strongly Correlated Electrons · Physics 2015-05-27 Gao Xianlong

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

We formulate a theory of electrostatic interactions in lipid bilayer membranes where both monolayer leaflets contain dissociable moieties that are subject to charge regulation. We specifically investigate the coupling between membrane…

Soft Condensed Matter · Physics 2022-04-01 Petch Khunpetch , Arghya Majee , Rudolf Podgornik

The thermodynamics of a charge-asymmetric lattice gas of positive ions carrying charge $q$ and negative ions with charge $-zq$ is investigated using Debye-H\"uckel theory. Explicit analytic and numerical calculations, which take into…

Statistical Mechanics · Physics 2009-11-07 Maxim N. Artyomov , Vladimir Kobelev , Anatoly B. Kolomeisky

We analytically examine the pair interaction for parallel, discrete helices of charge. Symmetry arguments allow for the energy to be decomposed into a sum of terms, each of which has an intuitive geometric interpretation. Truncated Fourier…

Soft Condensed Matter · Physics 2013-05-29 Jonathan Landy , Joseph Rudnick

The distribution of counterions and the electrostatic interaction between two similarly charged dielectric slabs is studied in the strong coupling limit. Dielectric inhomogeneities and discreteness of charge on the slabs have been taken…

Biological Physics · Physics 2015-06-12 Weria Pezeshkian , Narges Nikoofard , Davood Norouzi , Farshid Mohammad-Rafiee , Hossein Fazli

We investigate the kinetics of particle aggregation within the framework of the Smoluchowski coagulation equation, extending it to account for electrostatic interactions among charged clusters. Using a stochastic Monte Carlo implementation,…

Soft Condensed Matter · Physics 2026-04-21 Gustavo Castillo , Nicolás Mujica

We investigate the electrostatic interactions between two charged anisotropic conductors using a combination of asymptotic and numerical methods. For widely separated particles, we employ the method of reflections to analyze the…

Soft Condensed Matter · Physics 2025-01-13 Harshit Joshi , Anubhab Roy

The mechanisms of electrostatic interactions between two charged dielectric spheres inside a polarizable medium have been investigated, in terms of hypothetical effective dipoles that depict how the positive and negative charge in each…

Soft Condensed Matter · Physics 2025-02-06 Yanyu Duan , Zecheng Gan , Ho-Kei Chan

A new mechanism that induces charge density variations in corrugated graphene is proposed. Here it is shown how the interplay between lattice deformations and exchange interactions can induce charge separation, i.e., puddles of electrons…

Mesoscale and Nanoscale Physics · Physics 2008-01-08 L. Brey , J. J. Palacios

Charge independence and charge symmetry are approximate symmetries of nature, violated by the perturbing effects of the mass difference between up and down quarks and by electromagnetic interactions. The observations of the symmetry…

Nuclear Theory · Physics 2016-11-03 Gerald A. Miller , Willem T. H. van Oers

We continue to study the effect of uneven voltage distribution on two close cylindrical conductors with parallel axes started in our papers [1] and [2], now to find the electrostatic torques. We calculate the electrostatic potential and…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Valerio Ferroni , Alexander Silbergleit

Hot, dense plasmas exhibit screened Coulomb interactions, resulting from the collective effects of correlated many-particle interactions. In the lowest particle correlation order (pair-wise correlations), the interaction between charged…

Atomic Physics · Physics 2016-11-29 R. K. Janev , Song Bin Zhang , Jian Guo Wang

We investigate the electrostatics of a partially formed, charged spherical shell in a salt solution. We solve the problem numerically at the Poisson-Boltzmann level and analytically in the Debye-Huckel regime. From the results on energetics…

Biological Physics · Physics 2011-04-26 Anze Losdorfer Bozic , Antonio Siber , Rudolf Podgornik

Role of range of interactions in a model of charged particles diffusing on a two-dimensional lattice is studied. We investigate, via Monte Carlo simulations, three models. In the first one interactions are restricted to nearest neighbors,…

Disordered Systems and Neural Networks · Physics 2009-04-07 Krzysztof Pawlikowski , Andrzej Pȩkalski

Long-ranged electrostatic interactions in electrolytes modify their contact angles on charged substrates in a scale and geometry dependent manner. For angles measured at scales smaller than the typical Debye screening length, the wetting…

Soft Condensed Matter · Physics 2009-11-07 Tom Chou

In this work, we explore the statistical physics of colloidal particles that interact with electrolytes via ion-specific interactions. Firstly we study particles interact weakly with electrolyte using linear response theory. We find that…

Soft Condensed Matter · Physics 2016-10-12 Mingnan Ding , Yihao Liang , Xiangjun Xing