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In this paper we discuss the dissipative property of near-equilibrium classical solutions to the Cauchy problem of the Vlasov-Maxwell-Boltzmann System in the whole space $\R^3$ when the positive charged ion flow provides a spatially uniform…

Analysis of PDEs · Mathematics 2011-07-12 Renjun Duan

The concept of magnetic polaron is analysed and developed to elucidate the nature of itinerant charge carrier states in magnetic semiconductors and similar complex magnetic materials. By contrasting the scattering and bound states of…

Strongly Correlated Electrons · Physics 2007-05-23 A. L. Kuzemsky

A theoretical comparison of the electronic excitation and ionisation behaviour of molecular hydrogen oriented either parallel or perpendicular to a linear polarised laser pulse is performed. The investigation is based on a non-perturbative…

Quantum Physics · Physics 2009-11-13 Yulian V. Vanne , Alejandro Saenz

Tasker type III polar terminations of ionic crystals carry a net surface charge as well as a dipole moment and are fundamentally unstable. In contact with electrolytes, such polar surfaces can be stabilized by adsorption of counter ions…

Chemical Physics · Physics 2019-03-22 Thomas Sayer , Michiel Sprik , Chao Zhang

We consider the electromagnetic field in the presence of polarizable point dipoles. In the corresponding effective Maxwell equation these dipoles are described by three dimensional delta function potentials. We review the approaches…

Mathematical Physics · Physics 2015-06-23 M. Bordag , J. M. Munoz-Castaneda

The consistent description of kinetic and hydrodynamic processes is applied to the study of ion transport processes in the ionic solution-porous medium system. A system of equations is obtained for the nonequilibrium single-ion distribution…

Statistical Mechanics · Physics 2025-06-26 P. P. Kostrobij , B. M. Markovych , O. V. Viznovych , M. V. Tokarchuk

Most ionic liquids contain at least one rather complex ion species exhibiting a dipolar moment. In the present work, we provide a thorough evaluation of broadband dielectric spectra of 12 ionic liquids taking into account the often…

Soft Condensed Matter · Physics 2018-11-21 P. Sippel , S. Krohns , D. Reuter , P. Lunkenheimer , A. Loidl

Simulations for the density and potential profiles of the ions in the planar electrical double layer of a model electrolyte or an ionic liquid are reported. The ions of a real electrolyte or an ionic liquid are usually not spheres; in ionic…

Soft Condensed Matter · Physics 2016-03-08 W. Silvestre-Alcantara , L. B. Bhuiyan , S. Lamperski , M. Kaja , D. Henderson

The steady state of ions diffusion in polymer electrolytes at arbitrary applied voltage is analyzed in the framework of the Nernst-Planck-Poisson equation (NPP). The exact solution of the set of equations is found without the assumption of…

Soft Condensed Matter · Physics 2008-06-10 Anatoly Golovnev , Steffen Trimper

We investigate electric-field effects in dilute electrolytes with nonlinear polarization. As a first example of such systems, we add a dipolar component with a relatively large dipole moment $\mu_0$ to an aqueous electrolyte. As a second…

Soft Condensed Matter · Physics 2024-01-12 Akira Onuki

Recent measurements of microsphere interactions in diverse media suggest that the standard dielectric-continuum models of solution-phase interactions are fundamentally incomplete. Experiments indicate that the interactions of charged…

Soft Condensed Matter · Physics 2026-05-12 Ali Behjatian , Madhavi Krishnan

The Poisson Boltzmann equation is known for its success in describing the Debye layer that arises from the charge separation phenomenon at the silica/water interface. However, by treating only the mobile ionic charges in the liquid, the…

Soft Condensed Matter · Physics 2019-07-30 Maijia Liao , Li Wan , Shixin Xu , Chun Liu , Ping Sheng

The flow of ions through permeable channels causes voltage drop in physiological nanodomains such as synapses, dendrites and dendritic spines, and other protrusions. How the voltage changes around channels in these nanodomains has remained…

Soft Condensed Matter · Physics 2025-01-10 Frédéric Paquin-Lefebvre , David Holcman

It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is…

Condensed Matter · Physics 2009-10-28 Hiroaki Kusunose , Kazumasa Miyake

The Langevin equation is ubiquitously employed to numerically simulate plasmas, colloids and electrolytes. However, the usual assumption of white noise becomes untenable when the system is subject to an external AC electric field. This is…

Plasma Physics · Physics 2025-01-07 Daniele Gamba , Bingyu Cui , Alessio Zaccone

In this article, I summarize my theoretical developments in the statistical field theory of salt solutions of zwitterionic and multipolar molecules. Based on the Hubbard-Stratonovich integral transformation, I represent configuration…

Soft Condensed Matter · Physics 2020-08-26 Yu. A. Budkov

The electric and magnetic fields of a pole-dipole singularity attributed to a point-electron-singularity in the Maxwell field are expressed in a Colombeau algebra of generalized functions. This enables one to calculate dynamical quantities…

Mathematical Physics · Physics 2008-11-19 Andre Gsponer

The theory of isospectral flows comprises a large class of continuous dynamical systems, particularly integrable systems and Lie--Poisson systems. Their discretization is a classical problem in numerical analysis. Preserving the spectra in…

Numerical Analysis · Mathematics 2022-11-15 Klas Modin , Milo Viviani

Polarization properties of the photons emitted in the two-photon decay of hydrogen-like ions are studied within the framework of the density matrix and second-order perturbation theory. In particular, we derive the polarization correlation…

Atomic Physics · Physics 2011-08-23 Filippo Fratini , Andrey Surzhykov

A dielectric model of electrostatic solvation is applied to describe potentials of mean force in water along reaction paths for: a) formation of a sodium chloride ion pair; b) the symmetric SN2 exchange of chloride in methylchloride; and c)…

chem-ph · Physics 2008-02-03 Gregory J. Tawa , Lawrence R. Pratt