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The interaction of electrically charged particles in a dilute gas of point--like magnetic dipoles is studied. We show that the interaction potential at small distances has a linear piece due to overlap of the dipole clouds gathered near…

High Energy Physics - Theory · Physics 2009-10-31 M. N. Chernodub

The well known scaling laws relating critical exponents in a second order phase transition have been generalized to the case of an arbitrarily higher order phase transition. In a higher order transition, such as one suggested for the…

Superconductivity · Physics 2009-11-07 P. Kumar , A. Saxena

In this paper we study a model for the sedimentation equilibrium of a charged colloidal suspension: the two-dimensional two-component plasma in a gravitational field which is exactly solvable at a special value of the reduced inverse…

Statistical Mechanics · Physics 2009-10-28 Gabriel Tellez

Relationship among Wigner crystal, charge order and Mott insulator is studied by the path-integral renormalization group method for two-dimensional lattices with long-range Coulomb interaction. In contrast to Hartree-Fock results, the solid…

Strongly Correlated Electrons · Physics 2007-05-23 Yohei Noda , Masatoshi Imada

We consider a one-dimensional classical Wigner jellium, not necessarily charge neutral, for which the electrons are allowed to exist beyond the support of the background charge. The model can be seen as a one-dimensional Coulomb gas in…

Probability · Mathematics 2022-04-26 Djalil Chafaï , David García-Zelada , Paul Jung

We consider a one-dimensional continuum gas of pointlike positive and negative unit charges interacting via a logarithmic potential. The mapping onto a two-dimensional boundary sine-Gordon field theory with zero bulk mass provides the full…

Statistical Mechanics · Physics 2007-05-23 L. Šamaj

A two-dimensional dust crystal levitated in the sheath of a modified Gaseous Electronics Conference (GEC) reference cell is manipulated by heating or cooling the lower electrode. The dust charge is obtained from top-view pictures of the…

Plasma Physics · Physics 2010-10-20 Victor Land , Bernard Smith , Lorin Matthews , Truell Hyde

We prove that at all positive temperatures in the bulk of a classical two-dimensional one-component plasma (also called Coulomb or log-gas, or jellium) the variance of the number of particles in large disks grows (strictly) more slowly than…

Mathematical Physics · Physics 2025-06-18 Thomas Leblé

We calculated the Coulomb drag contribution to the resistivity and the transresistivity for a double layer system, in which the passive layer is a Wigner crystal pinned by impurities, and the active one is a metal. We found that in quasi…

Condensed Matter · Physics 2009-11-07 V. Braude , A. Stern

An expression for the effective Coulomb logarithm in one-component-plasma is proposed, which allows to extend the applicability of the classical formula for the self-diffusion coefficient to the strongly coupled regime. The proposed…

Plasma Physics · Physics 2013-06-18 Sergey A. Khrapak

The Coulomb log (log {\Lambda}) approximation is widely used to approximate electron transport coefficients in dense plasmas. It is a classical approximation to the momentum transport cross section. The accuracy of this approximation for…

Plasma Physics · Physics 2018-10-17 Charles Starrett

Properties of fully ionized water plasmas are discussed including plasma charge density oscillations and the screening of the Coulomb law especially in the dilute classical Debye regime. A kinetic model with two charged particle scattering…

High Energy Physics - Phenomenology · Physics 2014-09-19 A. Widom , J. Swain , Y. N. Srivastava

We examine the Friedel sum rule which states that the "excess charge" due to a single impurity potential in a metal is equal to a sum of phase shifts for scatterings of electrons by the impurity. For finite volume, the ``excess charge" is…

Mathematical Physics · Physics 2007-05-23 Mahito Kohmoto , Tohru Koma

We develop a universal framework which allows quickly solve a wide class of problems for longitudinal space charge effects in beams and plasmas in cylindrical geometry. We introduce the longitudinal dielectric permittivity for the beam of…

Plasma Physics · Physics 2021-09-15 Nikolai Yampolsky , Kip Bishofberger

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

We investigate theoretically the ground-state configurations of two-dimensional charged-particle systems with an elliptical hard-wall boundary and their vibrational eigenmodes. The systems exhibit a series of structural transitions, finally…

Strongly Correlated Electrons · Physics 2007-05-23 Zhen-zhong Zhang , Kai Chang

The motion of overdamped particles in a one-dimensional spatially-periodic potential is considered. The potential is also randomly-fluctuating in time, due to multiplicative colored noise terms, and has a deterministic tilt. Numerical…

Statistical Mechanics · Physics 2013-06-06 James P. Gleeson

We present a unifying picture of the compact, dense and dilute phases of two-dimensional polymers. The lattice dependence of the scaling exponents for compact polymers is reconciled with their universality in the dense and dilute case. In…

Statistical Mechanics · Physics 2007-05-23 Jesper Lykke Jacobsen , Jane' Kondev

Structural properties of a finite number ($N = 2 - 20$) of point charges (classical electrons) confined laterally in a two-dimensional two-minima potential are calculated as a function of the distance ($d$) between the minima. The particles…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Marlo , M. Alatalo , A. Harju , R. M. Nieminen

We study the behavior of energy levels in two dimensions for exotic atoms, i.e., when a long-range attractive potential is supplemented by a short-range interaction, and compare the results with these of the one- and three-dimensional…

Atomic Physics · Physics 2011-05-12 Combescure Monique , Fayard Claude , Khare Avinash , Richard Jean-Marc
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