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The static and time-dependent potential and surface charge correlations in a plasma with a boundary are computed for different shapes of the boundary. The case of a spheroidal or spherical one-component plasma is studied in detail because…

Condensed Matter · Physics 2009-10-28 G. Tellez

The cosmological constant is treated as a thermodynamical parameter in the framework of two-dimensional dilaton gravity. We find that the cosmological constant behaves as a U(1) charge with a confining potential, and that such potentials…

High Energy Physics - Theory · Physics 2014-08-20 Daniel Grumiller , Robert McNees , Jakob Salzer

We obtain an analytic approximation for the effective action of a quantum scalar field in a general static two-dimensional spacetime. We apply this to the dilaton gravity model resulting from the spherical reduction of a massive,…

High Energy Physics - Theory · Physics 2011-02-22 Roberto Balbinot , Alessandro Fabbri , Piero Nicolini , Patrick J. Sutton

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

Considering the popularity of two-dimensional particle-in-cell simulations, a 2D model of plasma wakefield in the strongly nonlinear (bubble) regime in transversely non-uniform plasma is developed. A differential equation for the boundary…

Plasma Physics · Physics 2018-11-15 A. A. Golovanov , I. Yu. Kostyukov

A mechanism is introduced to reduce a large cosmological constant to a sufficiently small value consistent with observational upper limit. The basic ingradient in this mechanism is a distinction which has been made between the two unit…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Y. Bisabr , H. Salehi

We discuss the influence of the cosmological constant $\Lambda$ on the gravitational equations of motion of bodies with arbitrary masses and eventually solve the two-body problem. Observational constraints are derived from measurements of…

Astrophysics · Physics 2009-11-13 Philippe Jetzer , Mauro Sereno

The well known (3+1) decomposition of Thorne and Macdonald is invoked to write down the Einstein-Maxwell equations generalised to (d+1) dimensions and also to formulate the plasma equations in a flat FRW like spacetime in higher dimensions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Panigrahi , S. Chatterjee

We present a simplified model of the atmosphere of a terrestrial planet as an open two-dimensional system described by an ideal gas with velocity $\vec{v}$, density $\rho$ and temperature $T$ fields. Starting with the Chern-Simons equations…

Atmospheric and Oceanic Physics · Physics 2022-12-29 Martín Jacques-Coper , Valentina Ortiz , Jorge Zanelli

Astrophysical gases such as the interstellar-, circumgalactic- or intracluster-medium are commonly multiphase, which poses the question of the structure of these systems. While there are many known processes leading to fragmentation of cold…

Astrophysics of Galaxies · Physics 2023-07-18 Max Gronke , S. Peng Oh

We study the Gibbs equilibrium of a classical 2D Coulomb gas in the determinantal case = 2. The external potential is the sum of a quadratic term and the potential generated by individual charges pinned in several extended groups. This…

Mathematical Physics · Physics 2025-12-17 Nicolas Rougerie

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

Micron sized particles are suspended or even lifted up in a gas by thermophoresis. This allows the study of many processes occurring in strongly coupled complex plasmas at the kinetic level in a relatively stress-free environment. First…

Plasma Physics · Physics 2009-11-07 H. Rothermel , T. Hagl , G. E. Morfill , M. H. Thoma , H. M Thomas

We obtain an exact solution for the Einstein's equations with cosmological constant coupled to a scalar, static particle in static, "spherically" symmetric background in 2+1 dimensions.

General Relativity and Quantum Cosmology · Physics 2009-11-11 Durmus Daghan , Ayse H. Bilge

The paper discusses the problem of stability of a two-component plasma and proposes a consistent consideration of quantum and long-range effects to calculate the thermodynamic properties of such a plasma. We restrict ourselves by the case…

Plasma Physics · Physics 2023-09-28 G. S. Demyanov , P. R. Levashov

The model under consideration is the two-dimensional Coulomb gas of $\pm$ charged hard disks with diameter $\sigma$. For the case of pointlike charges $(\sigma=0)$, the system is stable against collapse of positive-negative pairs of charges…

Statistical Mechanics · Physics 2007-05-23 P. Kalinay , L. Samaj

The two-dimensional one-component plasma is an ubiquitous model for several vortex systems. For special values of the coupling constant $\beta q^2$ (where $q$ is the particles charge and $\beta$ the inverse temperature), the model also…

Mathematical Physics · Physics 2016-09-20 Fabio Deelan Cunden , Francesco Mezzadri , Pierpaolo Vivo

In this manuscript we provide a family of lower bounds on the indirect Coulomb energy for atomic and molecular systems in two dimensions in terms of a functional of the single particle density with gradient correction terms.

Mathematical Physics · Physics 2015-06-05 Rafael D. Benguria , Matěj Tušek

Molecular dynamics simulations have been performed to investigate in detail collective modes spectra of two-dimensional Coulomb fluids in a wide range of coupling. The obtained dispersion relations are compared with theoretical approaches…

Plasma Physics · Physics 2018-10-11 S. A. Khrapak , N. P. Kryuchkov , L. A. Mistryukova , A. G. Khrapak , S. O. Yurchenko

We determine exactly the short-distance leading behavior of the density correlation functions of a two-dimensional two-component charge-symmetric Coulomb gas composed of point particles, in the whole regime of stability where the coulombic…

Statistical Mechanics · Physics 2007-05-23 Gabriel Tellez