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We examine the stability of ringlike configurations of N charges on a plane interacting through the potential $V(z_1,...,z_N)=\sum_i |z_i|^2-\sum_{i<j} ln|z_i-z_j|^2$. We interpret the equilibrium distributions in terms of a shell model and…

Mathematical Physics · Physics 2009-11-07 I. Kogan , A. M. Perelomov , G. W. Semenoff

Physical systems in real life are inextricably linked to their surroundings and never completely separated from them. Truly closed systems do not exist. The phenomenon of decoherence, which is brought about by the interaction with the…

High Energy Physics - Phenomenology · Physics 2024-07-11 Gabriela Barenboim , Alberto M. Gago

This paper builds on two previous works, Lindgren et al. J. Comp. Phys. 371, 712-731 (2018) and Quan et al. arXiv:1807.05384 (2018), to devise a new method to solve the problem of calculating electrostatic interactions in a system composed…

Soft Condensed Matter · Physics 2019-02-20 Eric B. Lindgren , Chaoyu Quan , Benjamin Stamm

We introduce the notion of a "rigid" quantum system as a system with constant relative positions of its nuclei and constant relative distribution of the electrons with respect to the nuclei. In accordance with this definition, a molecule…

Mathematical Physics · Physics 2013-01-04 A. A. Kolpakov , A. G. Kolpakov

The model of charge generation is based on the wave model of a particle, for which a brief description is given. The particle is comprised of two photons, captured in the volume of the particle, and reveals the complete relativistic…

General Physics · Physics 2007-05-23 Herbert Weiss

The organization of live cells to tissues is associated with the mechanical interaction between cells, which is mediated through their elastic environment. We model cells as spherical active force dipoles surrounded by an infinite elastic…

Biological Physics · Physics 2017-06-08 Roman Golkov , Yair Shokef

We consider a system of multiple insulating rigid bodies moving inside of an electrically conducting compressible fluid. In this system we take into account the interaction of the fluid with the bodies as well as with the electromagnetic…

Analysis of PDEs · Mathematics 2022-08-15 Jan Scherz

The interaction force between likely charged particles/surfaces is usually repulsive due to the Coulomb interaction. However, the counterintuitive like-charge attraction in electrolytes has been frequently observed in experiments, which has…

Soft Condensed Matter · Physics 2016-11-08 Pei Liu , Manman Ma , Zhenli Xu

In this paper, we investigate collision orbits of two identical bodies placed on the surface of a two-dimensional sphere and interacting via an attracting potential of the form $V(q)=-\cot(q)$, where $q$ is the angle formed by the position…

Dynamical Systems · Mathematics 2023-09-11 Alessandro Arsie , Nataliya A. Balabanova

The mechanism of collectivity coexisting with chaos is investigated on the quantum level. The complex spectra are represented in the basis of two-particle two-hole states describing the nuclear double-charge exchange modes in $^{48}$Ca. An…

Nuclear Theory · Physics 2009-09-25 S. Drozdz , S. Nishizaki , J. Speth , M. Wojcik

We derive two complementarity relations that constrain the individual and bipartite properties that may simultaneously exist in a multi-qubit system. The first expression, valid for an arbitrary pure state of n qubits, demonstrates that the…

Quantum Physics · Physics 2009-11-10 Tracey E. Tessier

Statistically studied are the equilibrium characteristics of a subsystem of mobile charges of one sort, taking into account the subsystem of fixed charges of the opposite sign creating a compensating electric background. The distribution of…

Other Condensed Matter · Physics 2019-02-07 H. S. Bokun , D. di Caprio

Two main approaches in particle-based simulations for modeling a charged surface are using explicit, discrete charges and continuum, uniform charges. It is well-known that these two approaches could lead to substantially distinct ionic…

Soft Condensed Matter · Physics 2022-08-02 Jiaxing Yuan , Yanwei Wang

A survey is presented of various aspects of the interaction of charged particles with solids. In the framework of many-body perturbation theory, we study the nonlinear interaction of charged particles with a free gas of interacting…

Materials Science · Physics 2015-06-24 J. M. Pitarke , I. G. Gurtubay , V. U. Nazarov

The interaction between two adjacent charged surfaces immersed in aqueous solution is known to be affected by charge regulation - the modulation of surface charge as two charged surfaces approach each other. This phenomenon is particularly…

Soft Condensed Matter · Physics 2022-07-26 Tal Obstbaum , Uri Sivan

Due to the coupling of a quantum system to its environment energy can be transfered between the two subsystems in both directions. In the present study we consider this process in a general framework for interactions with different…

Quantum Physics · Physics 2017-01-24 Tarek Khalil , Jean Richert

Dark energy and dark matter are only indirectly measured via their gravitational effects. It is possible that there is an exchange of energy within the dark sector, and this offers an interesting alternative approach to the coincidence…

General Relativity and Quantum Cosmology · Physics 2009-03-24 Gabriela Caldera-Cabral , Roy Maartens , L. Arturo Urena-Lopez

We discuss the stability of three- and four-particle system interacting by pure Coulomb interactions, as a function of the masses and charges of the particles. We present a certain number of general properties which allow to answer a…

Quantum Physics · Physics 2009-09-25 Andre Martin

The electrophoretic motion of a conducting particle, driven by an induced charge mechanism, is analyzed. The dependence of the motion upon particle shape is embodied in four tensorial coefficients that relate the particle velocities to the…

Fluid Dynamics · Physics 2007-05-23 Ehud Yariv

The electron-positive fermion gas in three dimensions and $T=0$ is modeled as two independent fermion gases interacting via the coulomb interaction. The main advantage of the simple model is that all existing results from the electron gas…

Superconductivity · Physics 2024-11-27 Carl A. Kukkonen