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For the two-dimensional one-component Coulomb plasma, we derive an asymptotic expansion of the free energy up to order $N$, the number of particles of the gas, with an effective error bound $N^{1-\kappa}$ for some constant $\kappa > 0$.…

Probability · Mathematics 2020-04-28 Roland Bauerschmidt , Paul Bourgade , Miika Nikula , Horng-Tzer Yau

We investigate the kinetic theory of two-temperature plasmas for reactive polyatomic gas mixtures. The Knudsen number is taken proportional to the square root of the mass ratio between electrons and heavy-species, and thermal…

Plasma Physics · Physics 2019-02-05 Jean-Maxime Orlac'H , Vincent Giovangigli , Tatiana Novikova , Pere Roca

The present Letter, deals with the statistical theory [Phys. Rev. E {\bf 66}, 056125 (2002) and Phys. Rev E {\bf 72}, 036108 (2005)], which predicts the probability distribution $p(E) \propto \exp_{\kappa} (-I)$, where, $I \propto \beta E…

Statistical Mechanics · Physics 2011-10-19 G. Kaniadakis

Plasma, which constitutes 99\% of the visible matter in the universe, is characterized by a wide range of waves and instabilities that play a pivotal role in space physics, astrophysics, laser-plasma interactions, fusion research, and…

Plasma Physics · Physics 2025-06-23 Huasheng Xie

The Sagdeev pseudopotential method is used to investigate the occurrence and the dynamics of fully nonlinear electrostatic solitary structures in a plasma containing suprathermal hot electrons, in the presence of massive charged dust…

Solar and Stellar Astrophysics · Physics 2011-12-05 N. S. Saini , A. Danehkar , M. A. Hellberg , I. Kourakis

In astronomical environments, the high-temperature emission of plasma mainly depends on ion charge states, which requires accurate analysis of the ionization and recombination processes. For various phenomena involving energetic particles,…

Solar and Stellar Astrophysics · Physics 2025-06-18 Chengcai Shen , Xiaocan Li , Yuan-Kuen Ko , John C. Raymond , Fan Guo , Vanessa Polito , Viviane Pierrard

We study the viscosity of light charged particles in weakly ionized plasma with the power-law q-distributions by using the Boltzmann equation of transport and the motion equation of hydrodynamics. The nonequilibrium plasma is considered to…

Plasma Physics · Physics 2019-08-19 Yue Wang , Jiulin Du

The Kompaneets theory of photon kinetic evolution due to the Compton effect in the absence of absorption and emission is extended to the case of the Vlasov plasma wave oscillations. Under the assumption that the electron distribution…

Chaotic Dynamics · Physics 2015-11-26 G Erochenkova , Cristel Chandre

The various distribution functions can encompass the diverse characteristics of the magnetospheric plasma of surrounding neutron stars in both hot and cold environments; however, the Maxwell-J\"uttner distribution is so far widely used to…

High Energy Astrophysical Phenomena · Physics 2025-05-02 M. Mousavi , J. Benáček

The theory of plasma waves and Landau damping in Maxwellian plasmas, Landau's ``rule of pass around poles'' include doubtful statements, particularly related to an artificial ``constructing'' of the dispersion equation, what should allow…

plasm-ph · Physics 2016-09-08 V. N. Soshnikov

Using previously developed method of two-dimensional Laplace transform we obtain the characteristic equations k(\omega) for electromagnetic waves in low-collision fully ionized plasma of a plane geometry. We apply here a new, different from…

Plasma Physics · Physics 2007-05-23 V. N. Soshnikov

Plasma lensing is the refraction of low-frequency electromagnetic rays due to free electrons in the interstellar medium. Although the phenomenon has a distinct similarity to gravitational lensing, particularly in its mathematical…

Astrophysics of Galaxies · Physics 2019-08-07 Xinzhong Er , Adam Rogers

Because currently the most popular method of calculating plasma self-consistent fields is an incomplete method which, strictly speaking, is not suitable to scientific investigation, we develop this method into be a complete reliable basic…

Plasma Physics · Physics 2010-08-16 Hai Lin

Scattering of electromagnetic (EM) waves by one and many small ($ka\ll 1$) impedance particles $D_m$ of an arbitrary shape, embedded in a homogeneous medium, is studied. Analytic formula for the field, scattered by one particle, is derived.…

Analysis of PDEs · Mathematics 2013-04-10 A. G. Ramm

An improved formulation of the one-step model of photoemission from crystal surfaces is proposed which overcomes different limitations of the original theory. Considering the results of an electronic-structure calculation, the electronic…

Strongly Correlated Electrons · Physics 2015-06-25 C. Meyer , M. Potthoff , W. Nolting , G. Borstel , J. Braun

We study the general formalism of polytropes in relativistic regime with generalized polytropic equations of state in the vicinity of cylindrical symmetry. We take charged anisotropic fluid distribution of matter with conformally flat…

General Physics · Physics 2016-10-12 M. Azam , S. A. Mardan , I. Noureen , M. A. Rehman

This is the first of a series of papers devoted to the development of the invariant imbedding theory of mode conversion in inhomogeneous plasmas. A new version of the invariant imbedding theory of wave propagation in inhomogeneous media…

Plasma Physics · Physics 2009-11-11 Kihong Kim , Dong-Hun Lee

The measurement of electron temperatures and metallicities in H ii regions and Planetary Nebulae (PNe) has-for several decades-presented a problem: results obtained using different techniques disagree. What it worse, they disagree…

Astrophysics of Galaxies · Physics 2012-06-20 David C. Nicholls , Michael A. Dopita , Ralph S. Sutherland

It is shown that power law phase space distributions describe marginally stable Gibbsian equilibria far from thermal equilibrium which are expected to occur in collisionless plasmas containing fully developed quasi-stationary turbulence.…

Plasma Physics · Physics 2008-04-22 R. A. Treumann , C. H. Jaroschek

The Principle of Maximum Entropy, a powerful and general method for inferring the distribution function given a set of constraints, is applied to deduce the overall distribution of 3D plasmoids (flux ropes/tubes) for systems where resistive…

High Energy Astrophysical Phenomena · Physics 2018-01-22 Manasvi Lingam , Luca Comisso