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We describe a method to simulate the dynamics of charged colloidal particles suspended in a liquid containing dissociated ions and salt ions. Regimes of prime current interest are those of large volume fraction of colloids, highly charged…

Soft Condensed Matter · Physics 2008-01-28 J. Dobnikar , D. Haložan , M. Brumen , H. -H. von Grünberg , R. Rzehak

The excess entropy of restricted primitive model electrolytes is calculated using a potential based approach through the symmetric Poisson-Boltzmann and the modified Poisson-Boltzmann theories. The theories are utilized in conjunction with…

Statistical Mechanics · Physics 2025-04-01 S. Lamperski , L. B. Bhuiyan , C. W. Outhwaite , R. Gorniak

Cellular electrophysiology is often modeled using the cable equations. The cable model can only be used when ionic concentration effects and three dimensional geometry effects are negligible. The Poisson model, in which the electrostatic…

Neurons and Cognition · Quantitative Biology 2009-01-27 Yoichiro Mori

The quadratic Zeeman effect is calculated for the ground $^2P_{1/2}$ state of light boron-like ions in the range of nuclear-charge numbers $Z = 10-24$. The calculations are performed in the Furry picture using three models for the…

Atomic Physics · Physics 2026-05-11 V. A. Agababaev , A. V. Volotka , D. A. Glazov , A. V. Malyshev , M. M. Osiptsov , V. M. Shabaev

Partially ionized plasma physics has attracted a lot of attention recently due to numerous technological applications made possible by the increased sophistication of computer modelling, the depth of the theoretical analysis, and the…

Plasma Physics · Physics 2026-01-06 Igor Kaganovich , Michael Tendler

Polymer self-consistent field theory techniques are used to derive quantum density functional theory without the use of the theorems of density functional theory. Instead, a free energy is obtained from a partition function that is…

Chemical Physics · Physics 2022-11-29 Russell B. Thompson

Electrolytes play an important role in a plethora of applications ranging from energy storage to biomaterials. Notwithstanding this, the structure of concentrated electrolytes remains enigmatic. Many theoretical approaches attempt to model…

Soft Condensed Matter · Physics 2021-04-14 Penelope Jones , Fabian Coupette , Andreas Härtel , Alpha A. Lee

Particle-particle correlation functions in ionic systems control many of their macroscopic properties. In this work, we use stochastic density functional theory to compute these correlations, and then we analyze their long-range behavior.…

Statistical Mechanics · Physics 2025-02-05 Haggai Bonneau , Vincent Démery , Elie Raphaël

Brooding over bosons, wave packets and Bose - Einstein correlations, we present a generic quantum mechanical system that contains arbitrary number of bosons characterized by wave-packets and that can undergo a Bose-Einstein condensation…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Zimanyi , T. Csorgo

Fokker-Planck equation with the velocity-dependent coefficients is considered for various isotropic systems on the basis of probability transition (PT) approach. This method provides the self-consistent and universal description of friction…

Plasma Physics · Physics 2009-11-07 S. A. Trigger

Starting with a microscopic (individual-based) Brownian dynamics model of charged particles (ions), its macroscopic description is derived as a system of partial differential equations that govern the evolution of ion concentrations in…

Computational Physics · Physics 2025-06-25 Jinyuan Zhang , Radek Erban

A theory describing above-threshold ionization of atoms and ions in a strong electromagnetic field is presented. It is based on the widely known strong field approximation and incorporates the Coulomb interaction between the photoelectron…

Atomic Physics · Physics 2009-11-13 S. V. Popruzhenko , D. Bauer

We calculate ion distributions near a planar oil-water interface within non-linear Poisson-Boltzmann theory, taking into account the Born self-energy of the ions in the two media. For unequal self-energies of cations and anions, a…

Soft Condensed Matter · Physics 2013-06-06 Jos Zwanikken , Joost de Graaf , Markus Bier , René van Roij

The disorder averaged single-particle Green's function of electrons subject to a time-dependent random potential with long-range spatial correlations is calculated by means of bosonization in arbitrary dimensions. For static disorder our…

Condensed Matter · Physics 2009-10-28 Peter Kopietz

This work introduces a sticky-charge wall model as a simple and intuitive representation of charge regulation. Implemented within the mean-field level of description, the model modifies the boundary conditions without affecting the…

Soft Condensed Matter · Physics 2019-05-27 Derek Frydel

We investigate structural and thermodynamic properties of aqueous dispersions of ionic microgels -- soft colloidal gel particles that exhibit unusual phase behavior. Starting from a coarse-grained model of microgel macroions as charged…

Soft Condensed Matter · Physics 2015-01-26 Mary M. Hedrick , Jun Kyung Chung , Alan R. Denton

A method of deriving the Hamiltonian of the interacting boson model, that is based on the microscopic framework of the nuclear energy density functional, is presented. The constrained self-consistent mean-field calculation with a given…

Nuclear Theory · Physics 2019-12-18 Kosuke Nomura

We present a theoretical study of the dissociative tunneling ionization process. Analytic expressions for the nuclear kinetic energy distribution of the ionization rates are derived. A particularly simple expression for the spectrum is…

Atomic Physics · Physics 2016-06-08 Jens Svensmark , Oleg I. Tolstikhin , Lars Bojer Madsen

The Poisson--Boltzmann equation is widely used to model electrostatics in molecular systems. Available software packages solve it using finite difference, finite element, and boundary element methods, where the latter is attractive due to…

Computational Physics · Physics 2025-12-24 Michal Bosy , Matthew W. Scroggs , Timo Betcke , Erik Burman , Christopher D. Cooper

In an optically active medium, such as a plasma that contains a neutrino background, the left-handed and right-handed polarization photon modes acquire different dispersion relations. We study the propagation of photons in such a medium,…

High Energy Physics - Phenomenology · Physics 2024-03-28 José F. Nieves , John D. Verges
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