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A theoretical description of the radial density profile for charged particles with Yukawa interaction in a harmonic trap is described. At strong Coulomb coupling shell structure is observed in both computer simulations and experiments.…

Statistical Mechanics · Physics 2015-05-30 Henning Bruhn , Hanno Kählert , Torben Ott , Michael Bonitz , Jeffrey Wrighton , James Dufty

A quantum system of N Coulomb charges confined within a harmonic trap is considered over a wide range of densities and temperatures. A recently described construction of an equivalent classical system is applied in order to exploit the…

Statistical Mechanics · Physics 2016-11-30 Jeffrey Wrighton , James Dufty , Sandipan Dutta

Coulomb charges confined by a harmonic potential display a rich structure at strong coupling, both classical and quantum. A simple density functional theory is reviewed showing the essential role of correlations in forming shell structure…

Statistical Mechanics · Physics 2022-04-05 Jeffrey Wrighton , James Dufty

Observations made in dusty plasma experiments suggest that an ensemble of electrically charged solid particles, confined in an elongated trap, develops structural inhomogeneities. With narrowing the trap the particles tend to form layers…

Plasma Physics · Physics 2021-01-25 Hong Pan , Gabor J. Kalman , Peter Hartmann

Equilibrium particle densities near a hard wall are studied for a quantum fluid made of point charges which interact via Coulomb potential without any regularization. In the framework of the grand-canonical ensemble, we use an equivalence…

Statistical Mechanics · Physics 2009-11-10 Jean-Noel Aqua , Francoise Cornu

Inspired by recent experiments and simulations on pattern formation in biomolecules by optical tweezers, a theoretical description based on reference interaction site model (RISM) integral equation method is developed to calculate the…

Soft Condensed Matter · Physics 2016-02-17 Sandipan Dutta , Y. S. Jho

A self-consistent theory of bulk electrolytes incorporating electrostatic and hard-core interactions on an equal level is applied to the two-dimensional Coulomb liquid with finite ion size. The ionic pair distributions, the structure…

Soft Condensed Matter · Physics 2026-04-10 Sahin Buyukdagli

The phase behavior of the primitive model of electrolytes is studied in the framework of various mean field approximations obtained recently by means of methods pertaining to statistical field theory (CAILLOL, J.-M., 2004, \textit{J. Stat.…

Statistical Mechanics · Physics 2009-11-10 J. -M. Caillol

Detailed numerical results for the structural properties of three-dimensional classical Coulomb clusters confined in a spherical parabolic trap are presented. Based on extensive high accuracy computer simulations the shell configurations…

Plasma Physics · Physics 2007-05-23 P. Ludwig , S. Kosse , V. Golubnychiy , M. Bonitz , H. Fehske

We study the temperature dependence of static and dynamic responses of Coulomb interacting particles in two-dimensional traps across the thermal crossover from an amorphous solid- to liquid-like behaviors. While static correlations, that…

Disordered Systems and Neural Networks · Physics 2017-10-11 Biswarup Ash , J. Chakrabarti , Amit Ghosal

A system of N classical Coulomb charges trapped in a harmonic potential displays shell structure and orientational ordering. The local density profile is well understood from theory, simulation, and experiment. Here, pair correlations are…

Statistical Mechanics · Physics 2015-05-30 Jeffrey Wrighton , Hanno Kählert , Torben Ott , Patrick Ludwig , Hauke Thomsen , James Dufty , Michael Bonitz

Charge correlations in dense ionic fluids give rise to novel effects such as long-range screening and colloidal stabilization which are not predicted by the classic Debye-Huckel theory. We show that a Coulomb or charge-frustrated Ising…

Soft Condensed Matter · Physics 2018-11-01 Nicholas B. Ludwig , Kinjal Dasbiswas , Dmitri V. Talapin , Suriyanarayanan Vaikuntanathan

At present, many laboratories are performing experiments to simulate theoretical models of strongly correlated systems using cold atoms in optical lattices, a program referred to as "Quantum Simulation". It is hoped that these experiments…

Superconductivity · Physics 2016-11-07 Tin-Lun Ho , Qi Zhou

A survey on the dynamical and thermodynamical properties of plasmas with strong Coulomb interactions in the quasi-classical density-temperature region is given. First the basic theoretical concepts describing nonideality are discussed. The…

Plasma Physics · Physics 2009-10-31 W. Ebeling , J. Ortner

We develop a microscopic theory to analyze the phase behaviour and compute correlation functions of dense assemblies of soft repulsive particles both at finite temperature, as in colloidal materials, and at vanishing temperature, a…

Disordered Systems and Neural Networks · Physics 2011-11-09 Ludovic Berthier , Hugo Jacquin , Francesco Zamponi

In the framework of the grand-canonical ensemble of statistical mechanics, we give an exact diagrammatic representation of the density profiles in a classical multicomponent plasma near a dielectric wall. By a reorganization of Mayer…

Statistical Mechanics · Physics 2007-05-23 Jean-Noel Aqua , Francoise Cornu

The equilibrium density profiles in a classical multicomponent plasma near a hard wall made with a dielectric material characterized by a relative dielectric constant $\ew$ are studied from the first Born-Green-Yvon equation combined with…

Statistical Mechanics · Physics 2007-05-23 Jean-Noel Aqua , Francoise Cornu

Structural and thermodynamic properties of ionic fluids are related to those of a simpler ``mimic'' system with short ranged intermolecular interactions in a spatially varying effective field by use of Local Molecular Field (LMF) theory,…

Statistical Mechanics · Physics 2007-05-23 Yng-gwei Chen , Charanbir Kaur , John D. Weeks

This tutorial introduces the dynamics of charged particles in a radiofrequency trap in a very general manner to point out the differences between the dynamics in a quadrupole and in a multipole trap. When dense samples are trapped, the…

Quantum Physics · Physics 2015-05-13 Caroline Champenois

We study the equilibrium density profile of particles in two one-dimensional classical integrable models, namely hard rods and the hyperbolic Calogero model, placed in confining potentials. For both of these models the inter-particle…

Statistical Mechanics · Physics 2023-04-19 Jitendra Kethepalli , Debarshee Bagchi , Abhishek Dhar , Manas Kulkarni , Anupam Kundu
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