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We determine exactly the short-distance effective potential between two "guest" charges immersed in a two-dimensional two-component charge-asymmetric plasma composed of positively ($q_1 = +1$) and negatively ($q_2 = -1/2$) charged point…

Soft Condensed Matter · Physics 2021-09-01 Lucas Varela , Gabriel Téllez

We calculate mean square deviations for crystals in one and two dimensions. For the two dimensional lattices, we consider several distinct geometries (i.e. square, triangular, and honeycomb), and we find the same essential phenomena for…

Materials Science · Physics 2010-04-27 D. J. Priour

Disclinations, first observed in mesomorphic phases, are relevant to a number of ill-ordered condensed matter media, with continuous symmetries or frustrated order. They also appear in polycrystals at the edges of grain boundaries. They are…

Soft Condensed Matter · Physics 2009-11-13 Maurice Kleman , Jacques Friedel

Two-dimensional classical cluster of particles interacting through a screened Coulomb potential is studied. This system can be used as a model for "dusty particles" in high-frequency discharge plasma. For systems consisting of N = 2 - 40…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. E. Astrakharchik , A. I. Belousov , Yu. E. Lozovik

We study the dynamics of a non-integrable system comprising interacting cold bosons trapped in an optical lattice in one-dimension by means of exact time-dependent numerical DMRG techniques. Particles are confined by a parabolic potential,…

Other Condensed Matter · Physics 2009-11-13 Simone Montangero , Rosario Fazio , Peter Zoller , Guido Pupillo

Transport properties of the ionic component of dense plasmas are investigated on the basis of effective potentials taking into account the presence of an external alternating electrical (laser) field. The latter generates single particle…

Plasma Physics · Physics 2022-09-07 S. K. Kodanova , M. K. Issanova , G. K. Omiraliyeva , T. S. Ramazanov

The dynamics of defect excitations in crystalline solids is necessary to understand the macroscopic low-energy properties of elastic media. We use fracton-elasticity duality to systematically study the defect dynamics and interactions in…

Materials Science · Physics 2024-05-07 Lazaros Tsaloukidis , Piotr Surówka

We present Monte Carlo simulations of the two-dimensional one-component plasma (2D OCP) confined to a cylindrical geometry, focusing on density profiles, fluctuations, and their connection to bulk correlation functions. The cylindrical…

Statistical Mechanics · Physics 2024-12-23 Gabriel Cardoso , Jean-Marie Stéphan , Alexander G. Abanov

We study the classical two-dimensional one-component plasma of $N$ positively charged point particles, interacting via the Coulomb potential and confined by an external potential. For the specific inverse temperature $\beta=1$ (in our…

Mathematical Physics · Physics 2019-08-21 Roland Bauerschmidt , Paul Bourgade , Miika Nikula , Horng-Tzer Yau

Two-dimensional plasma crystals are characterized by a strong up-and-down asymmetry not only due to gravity but also due to the presence of plasma flow at the location of particles. We study for the first time the interaction of a…

Plasma Physics · Physics 2012-09-17 C. -R. Du , V. Nosenko , S. Zhdanov , H. M. Thomas , G. E. Morfill

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

The features for the unsteady process of thermal equilibration ("the fast motions") in a one-dimensional harmonic crystal lying in a viscous environment (e.g., a gas) are under investigation. It is assumed that initially the displacements…

Statistical Mechanics · Physics 2021-02-16 Serge N. Gavrilov , Anton M. Krivtsov

We study in experiment and with computer simulation the free energy and the kinetics of vacancy and interstitial defects in two-dimensional dipolar crystals. The defects appear in different local topologies which we characterize by their…

Soft Condensed Matter · Physics 2015-06-23 Wolfgang Lechner , David Polster , Georg Maret , Christoph Dellago , Peter Keim

The one-component plasma (OCP) represents the simplest statistical mechanical model of a Coulomb system. For this reason, it has been extensively studied over the last forty years. The advent of the integral equations has resulted in a…

Soft Condensed Matter · Physics 2015-06-25 M. N. Tamashiro , Yan Levin , Marcia C. Barbosa

Using techniques of effective field theory, we consider the thermodynamical properties of a dilute two-dimensional plasma interacting via a $1/r$ potential. The first one-loop correction to the partition function is already logarithmically…

Plasma Physics · Physics 2008-11-26 Manuel A. Valle Basagoiti

The manipulation of individual colloidal particles using optical tweezers has allowed vacancies to be created in two-dimensional (2d) colloidal crystals, with unprecedented possibility of real-time monitoring the dynamics of such defects…

Other Condensed Matter · Physics 2009-11-13 L. C. DaSilva , L. Candido , L. da F. Costa , O. N. Oliveira

We consider an off-lattice liquid crystal pair potential in strictly two dimensions. The potential is purely repulsive and short-ranged. Nevertheless, by means of a single parameter in the potential, the system is shown to undergo a…

Soft Condensed Matter · Physics 2012-07-17 H. H. Wensink , R. L. C. Vink

A systematic study of the properties of particle and charge correlation functions in the two-dimensional Coulomb gas confined to a one-dimensional domain is undertaken. Two versions of this system are considered: one in which the positive…

Condensed Matter · Physics 2009-10-28 A. Alastuey , P. J. Forrester

Crystallography typically studies collections of point particles whose interaction forces are the gradient of a potential. Lifting this assumption generically gives rise in the continuum limit to a form of elasticity with additional moduli…

Soft Condensed Matter · Physics 2021-12-30 Lara Braverman , Colin Scheibner , Bryan VanSaders , Vincenzo Vitelli

We provide a statistical and correlational analysis of the spatial and energetic properties of equilibrium configurations of a few-body system of two to eight equally charged classical particles that are confined on a one-dimensional…

Atomic Physics · Physics 2025-12-02 J. M. Dörre , F. K. Diakonos , P. Schmelcher