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We summarize several semi-phenomenological approaches to estimate the internal energy of one-component-plasma (OCP) in two (2D) and three (3D) dimensions. Particular attention is given to a hybrid approach, which reproduces the…

Plasma Physics · Physics 2016-05-25 S. A. Khrapak , A. G. Khrapak

The two-dimensional one-component plasma (OCP) is a model of electrically charged particles which are embedded in a uniform background of the opposite charge, and interact through a logarithmic potential. More than 30 years ago, Jancovici,…

Probability · Mathematics 2025-10-15 Alon Nishry , Oren Yakir

We extend the static theory of disorder-induced exponential decay of the averaged Green function of a quantum charged particle in a classical one-component plasma to the dynamic regime by incorporating the temporal evolution of the ionic…

Statistical Mechanics · Physics 2026-05-19 Yury A. Budkov

A field theory is presented for particles which interact via Coulomb and hard-core potentials. We apply the method to the one-component plasma (OCP) with hard cores, consisting of identical particles of fixed charge and diameter in a…

Soft Condensed Matter · Physics 2007-05-23 Roland R. Netz , H. Orland

Point defects such as interstitials, vacancies, and impurities in otherwise perfect crystals induce complex displacement fields that are of long-range nature. In the present paper we study numerically the response of a two-dimensional…

Soft Condensed Matter · Physics 2009-11-13 Wolfgang Lechner , Elisabeth Schöll-Paschinger , Christoph Dellago

Finding the ground states of identical particles packed on spheres has relevance for stabilizing emulsions and a venerable history in the literature of theoretical physics and mathematics. Theory and experiment have confirmed that defects…

Soft Condensed Matter · Physics 2017-09-13 Mark J. Bowick , David R. Nelson , Homin Shin

We study the ground state properties of classical Coulomb charges interacting with a 1/r potential moving on a plane but confined either by a circular hard wall boundary or by a harmonic potential. The charge density in the continuum limit…

Materials Science · Physics 2009-11-13 A. Mughal , M. A. Moore

The equilibrium statistical mechanics of one-dimensional lattice gases with interactions of arbitrary range and shape between first-neighbor atoms is solved exactly on the basis of statistically interacting vacancy particles. Two sets of…

Statistical Mechanics · Physics 2014-01-30 Benaoumeur Bakhti , Michael Karbach , Philipp Maass , Mohammad Mokim , Gerhard Muller

Dislocation pileups directly impact the material properties of crystalline solids through the arrangement and collective motion of interacting dislocations. We study the statistical mechanics of these ordered defect structures embedded in…

Statistical Mechanics · Physics 2021-03-03 Grace H. Zhang , David R. Nelson

Elastic moduli and dislocation core energy of the triangular solid of hard disks of diameter $\sigma$ are obtained in the limit of vanishing dislocation- antidislocation pair density, from Monte Carlo simulations which incorporates a…

Statistical Mechanics · Physics 2009-10-31 S. Sengupta , P. Nielaba , K. Binder

Defects are believed to play a fundamental role in the supersolid state of 4He. We have studied solid 4He in two dimensions (2D) as function of the number of vacancies n_v, up to 30, inserted in the initial configuration at rho = 0.0765…

Other Condensed Matter · Physics 2015-03-13 M. Rossi , E. Vitali , D. E. Galli , L. Reatto

We study the mechanics and statistical physics of dislocations interacting on cylinders, motivated by the elongation of rod-shaped bacterial cell walls and cylindrical assemblies of colloidal particles subject to external stresses. The…

Soft Condensed Matter · Physics 2013-05-15 Ariel Amir , Jayson Paulose , David R. Nelson

We study, via computer simulations, the fluctuations in the net electric charge, in a two dimensional one component plasma (OCP) with uniform background charge density $-e \rho$, in a region $\Lambda$ inside a much larger overall neutral…

Condensed Matter · Physics 2007-05-23 D. Levesque , J. -J. Weis , J. L. Lebowitz

The model under consideration is a two-dimensional two-component plasma, i.e., a continuous system of two species of pointlike particles of opposite charges $\pm 1$, interacting through the logarithmic Coulomb interaction. Using the exact…

Statistical Mechanics · Physics 2007-05-23 L. Šamaj , B. Jancovici

We demonstrate that two-dimensional crystals made of active particles can experience extremely large spontaneous deformations without melting. Using particles mostly interacting via pairwise repulsive forces, we show that such active…

Soft Condensed Matter · Physics 2023-09-11 Xia-qing Shi , Fu Cheng , Hugues Chaté

We investigate the crystallization rate of a one-component plasma (OCP) in the context of classical nucleation theory. From our derivation of the free energy of an arbitrary distribution of solid clusters embedded in a liquid phase, we…

Astrophysics · Physics 2009-06-23 Randall L. Cooper , Lars Bildsten

The classical one-component plasma (OCP) bounded by a spherical surface reflecting ions (BOCP) is studied using molecular dynamics (MD). Simulations performed for a series of sufficiently large BOCP's make it possible to establish the size…

Plasma Physics · Physics 2026-04-10 D. I. Zhukhovitskii , E. E. Perevoshchikov

Using numerical and analytical calculations we study the structure of vacancies and interstitials in two-dimensional colloidal crystals. In particular, we compare the displacement fields of the defect obtained numerically with the…

Soft Condensed Matter · Physics 2008-06-24 Wolfgang Lechner , Christoph Dellago

Dislocations can climb out of their glide plane by absorbing (or emitting) point defects (vacancies and self-interstitial atoms (SIAs)). In contrast with conservative glide motion, climb relies on the point defects' thermal diffusion and…

Materials Science · Physics 2018-09-12 DH Thompson , E Tarleton , SG Roberts , SP Fitzgerald

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
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