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Quantum stochastic differential equations have been used to describe the dynamics of an atom interacting with the electromagnetic field via absorption/emission processes. Here, by using the full quantum stochastic Schroedinger equation…

Quantum Physics · Physics 2009-10-31 Alberto Barchielli , Giancarlo Lupieri

We formulate theoretical modeling approaches and develop practical computational simulation methods for investigating the non-equilibrium statistical mechanics of fluid interfaces with passive and active immersed particles. Our approaches…

Soft Condensed Matter · Physics 2024-10-03 Dev Jasuja , Paul J. Atzberger

We describe kinetic simulations of transient problems in partially ionized weakly-collisional plasma around spherical bodies absorbing or emitting charged particles. Numerical solutions of kinetic equations for electrons and ions in 1D2V…

Plasma Physics · Physics 2023-11-14 V I Kolobov , R R Arslanbekov , H Liang

When ions are crowded, the effect of steric repulsion between ions becomes significant and the conventional Poisson--Boltzmann (PB) equation (without steric effect) should be modified. For this purpose, we study the asymptotic limit of…

Analysis of PDEs · Mathematics 2022-05-26 Jhih-Hong Lyu , Tai-Chia Lin

In order to find the exact form of the electrostatic interaction between two proteins with dissociable charge groups in aqueous solution, we have studied a model system composed of two macroscopic surfaces with charge dissociation sites…

Chemical Physics · Physics 2014-05-16 Natasa Adzic , Rudolf Podgornik

We propose a nonlocal Poisson-Fermi model for ionic solvent that includes ion size effects and polarization correlations among water molecules in the calculation of electrostatic potential. It includes the previous Poisson-Fermi models as…

Chemical Physics · Physics 2016-08-03 Dexuan Xie , Jinn-Liang Liu , Bob Eisenberg , L. Ridgway Scott

Electrostatic interactions between macroions largely govern the equilibrium thermodynamic and dynamical properties of charge-stabilized colloidal suspensions and polyelectrolyte solutions. Predicting the properties of such complex,…

Soft Condensed Matter · Physics 2012-12-11 Alan R. Denton

Using the multisymplectic Hamiltonian formalism, we propose a Poisson bracket for the electromagnetic field that, in addition to satisfying the restricted principle of relativity, reproduces well-established results from the standard…

Mathematical Physics · Physics 2026-03-02 José Francisco Pérez-Barragán

Integration of the Dirac equation with an external electromagnetic field is explored in the framework of the method of separation of variables and of the method of noncommutative integration. We have found a new type of solutions that are…

Mathematical Physics · Physics 2017-01-06 A. I. Breev , A. V. Shapovalov

The magnetic interactions of the two electrons in helium-like ions are studied in detail within the framework of Relativistic Schroedinger Theory (RST). The general results are used to compute the ground-state interaction energy of some…

High Energy Physics - Theory · Physics 2016-08-16 P. Schust , M. Sorg

Two-dimensional Born-Infeld electrostatic fields behaving as the superposition of two point-like charges in the linearized (Maxwellian) limit are worked out by means of a non-holomorphic mapping of the complex plane. The changes underwent…

High Energy Physics - Theory · Physics 2008-11-26 Rafael Ferraro , Maria Evangelina Lipchak

We investigate, within a local density functional theory formalism, the interactions between like-charged polyions immersed in a confined electrolyte. We obtain a simple condition for a repulsive effective pair potential, that can be…

Soft Condensed Matter · Physics 2009-10-31 E. Trizac

We derive a modified non-perturbative Lorentz-Abraham-Dirac equation. It satisfies the proper conservation laws, particularly, it conserves the generalized momentum, the latter property eliminates the symmetry-breaking runaway solution. The…

Classical Physics · Physics 2009-11-28 Igor V. Sokolov , Natalia M. Naumova , John A. Nees , Gerard A. Mourou , Victor P. Yanovsky

An effective field theory exists describing a very large class of biophysically interesting Coulomb gas systems: the lowest order (mean-field) version of this theory takes the form of a generalized Poisson-Boltzmann theory. Interaction…

High Energy Physics - Lattice · Physics 2008-11-26 Anthony Duncan

We study unbinding of multivalent cationic ligands from oppositely charged polymeric binding sites sparsely grafted on a flat neutral substrate. Our molecular dynamics (MD) simulations are suggested by single-molecule studies of protein-DNA…

Biological Physics · Physics 2018-02-21 Aykut Erbas , Monica Olvera de la Cruz , John F. Marko

The numerical solutions of nonlocal and local Boltzmann kinetic equations for the simulation of peripheral and central heavy ion reactions are compared. The experimental finding of enhancement of mid-rapidity matter shows the necessity to…

Nuclear Theory · Physics 2007-05-23 Klaus Morawetz

Based on quantum reactive-scattering theory, we propose a method for studying the electronic nonadiabaticity in collision processes involving electron-ion rearrangements. We investigate the state-to-state transition probability for…

Chemical Physics · Physics 2014-12-16 Yang Peng , Luca M. Ghiringhelli , Heiko Appel

The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these…

Mathematical Physics · Physics 2015-05-14 T. Dereli , R. W. Tucker

We review a dynamical approach to non-equilibrium MD (D-NEMD). We show how, using a proper simulation setup, is possible to treat interesting cases in which the initial condition is a stationary non-equilibrium state produced by a suitable…

Computational Physics · Physics 2015-05-27 Sergio Orlandini , Simone Meloni , Giovanni Ciccotti

We present a theory of effective electrostatic interactions in polydisperse suspensions of charged macroions, generalizing to mixtures a theory previously developed for monodisperse suspensions. Combining linear response theory with a…

Soft Condensed Matter · Physics 2013-08-20 Jun Kyung Chung , Alan R. Denton
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