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Electrostatic energy (Madelung energy) is a major constituent of the cohesive energy of ionic crystals. Several physicochemical properties of these materials depend on the response of their electrostatic energy to a variety of applied…

Materials Science · Physics 2007-05-23 K. Ragavendran , D. Vasudevan , A. Veluchamy , Bosco Emmanuel

The zero-temperature phase diagram of binary mixtures of particles interacting via a screened Coulomb pair potential is calculated as a function of composition and charge ratio. The potential energy obtained by a Lekner summation is…

Soft Condensed Matter · Physics 2009-11-13 Lahcen Assoud , Rene Messina , Hartmut Loewen

The analytic equation of state of nonideal Coulomb plasmas consisting of pointlike ions immersed in a polarizable electron background (physics/9807042) is improved, and its applicability range is considerably extended. First, the fit of the…

Astrophysics · Physics 2008-11-26 A. Y. Potekhin , G. Chabrier

It has been shown that to calculate the parameters of the electrostatic field of the ion crystal lattice it sufficient to take into account ions located at a distance of 1-2 lattice spacings. More distant ions make insignificant…

General Physics · Physics 2010-01-26 Alexander Ivanchin

The starting point is the problem of finding the interaction energy of two coinciding homogeneous cubic charge distributions. The brute force method of subdividing the cube into $N^3$ sub-cubes and doing the sums results in slow convergence…

Atomic and Molecular Clusters · Physics 2007-05-23 Hanno Essen

We investigate the statistical mechanics of an inhomogeneous Coulomb fluid composed of charged particles with static polarizability. We derive the weak- and the strong-coupling approximations and evaluate the partition function in a planar…

Soft Condensed Matter · Physics 2013-04-22 Vincent Démery , David S. Dean , Rudolf Podgornik

Outer crusts of neutron stars and interiors of cool white dwarfs consist of bare atomic nuclei, arranged in a crystal lattice and immersed in a Fermi gas of degenerate electrons. We study electrostatic properties of such Coulomb crystals,…

Plasma Physics · Physics 2021-04-21 A. A. Kozhberov , A. Y. Potekhin

Coulomb crystallisation of large ensembles of ions has in the past years been intensively studied experimentally with many spectacular results of relevance to infinite systems in one-, two-, and three-dimensions.While strings of a few ions…

Atomic and Molecular Clusters · Physics 2012-02-14 Michael Drewsen , Thierry Matthey , Anders Mortensen , Jan Petter Hansen

The one-electron Li-containing Coulomb systems of atomic type $(li, e)$ and molecular type $(li, li, e)$, $(li, \alpha, e)$ and $(li, p, e)$ are studied in the presence of a strong magnetic field $B \leq 10^{7}$ a.u. in the non-relativistic…

High Energy Astrophysical Phenomena · Physics 2015-05-14 H. Olivares Pilón , D. Baye , A. V. Turbiner , J. C. López Vieyra

We analytically examine the pair interaction for parallel, discrete helices of charge. Symmetry arguments allow for the energy to be decomposed into a sum of terms, each of which has an intuitive geometric interpretation. Truncated Fourier…

Soft Condensed Matter · Physics 2013-05-29 Jonathan Landy , Joseph Rudnick

Evaluating the total energy of an extended distribution of point charges, which interact through the Coulomb potential, is central to the study of condensed matter. With near ubiquity, the summation required is carried out using Ewald's…

Materials Science · Physics 2018-01-24 Chris J. Pickard

We present results of Monte-Carlo simulations for finite 2D single and bilayer systems. Strong Coulomb correlations lead to arrangement of particles in configurations resembling a crystal lattice. For binary layers, there exists a…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. V. Filinov , M. Bonitz , Yu. E. Lozovik

We develop analytic approximations of thermodynamic functions of fully ionized nonideal electron-ion plasma mixtures. In the regime of strong Coulomb coupling, we use our previously developed analytic approximations for the free energy of…

Plasma Physics · Physics 2009-02-12 A. Y. Potekhin , G. Chabrier , F. J. Rogers

Coulomb plasmas crystallize in a number of physical systems, such as dusty plasmas, neutron star crusts, and white dwarf cores. The crystal structure of the one component and binary plasma has received significant attention in the…

Soft Condensed Matter · Physics 2020-02-12 M. E. Caplan

We show that two added, excess electrons with opposite spins in one-dimensional crystal lattices with quartic anharmonicity may form a bisolectron, which is a localized bound state of the paired electrons to a soliton-like lattice…

Strongly Correlated Electrons · Physics 2011-09-20 M. G. Velarde , L. Brizhik , A. P. Chetverikov , L. Cruzeiro , W. Ebeling , G. Röpke

Using Metropolis method to compute path integrals, the energy of quantum strongly-coupled Coulomb liquid ($1 \leq \Gamma \leq 175$) composed of distinguishable atomic nuclei and uniform incompressible electron background is calculated from…

High Energy Astrophysical Phenomena · Physics 2019-11-19 D. A. Baiko

We show that in anharmonic one-dimensional crystal lattices pairing of electrons or holes in a localized bisolectron state is possible due to coupling between the charges and the lattice deformation that can overcompensate the Coulomb…

Strongly Correlated Electrons · Physics 2012-03-02 L. Brizhik , A. P. Chetverikov , W. Ebeling , G. Röpke , M. G. Velarde

The phase diagram of binary mixtures of particles interacting via a pair potential of parallel dipoles is computed at zero temperature as a function of composition and the ratio of their magnetic susceptibilities. Using lattice sums, a rich…

Soft Condensed Matter · Physics 2009-11-13 Lahcen Assoud , René Messina , Hartmut Löwen

A theoretical analysis of Coulomb systems on lattices in general dimensions is presented. The thermodynamics is developed using Debye-Huckel theory with ion-pairing and dipole-ion solvation, specific calculations being performed for 3D…

Statistical Mechanics · Physics 2009-11-07 Vladimir Kobelev , Anatoly B. Kolomeisky , Michael E. Fisher

We calculate interdiffusion coefficients in a two-component, weakly or strongly coupled ion plasma (gas or liquid, composed of two ion species immersed into a neutralizing electron background). We use an effective potential method proposed…

Solar and Stellar Astrophysics · Physics 2015-06-22 M. V. Beznogov , D. G. Yakovlev
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