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The friction force on a test particle traveling through a plasma that is both strongly coupled and strongly magnetized is studied using molecular dynamics simulations. In addition to the usual stopping power component aligned antiparallel…

Plasma Physics · Physics 2021-06-16 David J. Bernstein , Scott D. Baalrud

Formulas for transverse conductance and dielectric permeability in quantum degenerate collisional plasma with arbitrary variable collision frequency in Mermin's approach are deduced. Frequency of collisions of particles depends arbitrarily…

Plasma Physics · Physics 2013-02-15 A. V. Latyshev , A. A. Yushkanov

We study the equilibrium statistical mechanics of classical two-dimensional Coulomb systems living on a pseudosphere (an infinite surface of constant negative curvature). The Coulomb potential created by one point charge exists and goes to…

Condensed Matter · Physics 2007-05-23 B. Jancovici , G. Tellez

We develop a collisional formalism adapted for the dynamics of ultracold dipolar particles in a confined geometry and in fields tilted relative to the confinement axis. Using tesseral harmonics instead of the usual spherical harmonics to…

Atomic Physics · Physics 2015-10-21 Goulven Quéméner , Maxence Lepers , Olivier Dulieu

We propose a methodology to infer collision operators from phase space data of plasma dynamics. Our approach combines a differentiable kinetic simulator, whose core component in this work is a differentiable Fokker-Planck solver, with a…

Plasma Physics · Physics 2026-01-19 Diogo D. Carvalho , Pablo J. Bilbao , Warren B. Mori , Luis O. Silva , E. Paulo Alves

We derive diffusive macroscopic equations for the particle and energy density of a system whose time evolution is described by a kinetic equation for the one particle position and velocity function f(r,v,t) that consists of a part that…

Statistical Mechanics · Physics 2018-11-14 Pedro L. Garrido , Joel L. Lebowitz

Following a wave-mechanical treatment we calculate the drag force exerted by an infinite homogeneous background of stars on a perturber as this makes its way through the system. We recover Chandrasekhar's classical dynamical friction (DF)…

Astrophysics · Physics 2008-04-02 O. Esquivel , B. Fuchs

Dielectric permeability of the degenerate electronic gas for the collisional plasmas is found. The kinetic equation of Wigner -- Vlasov -- Boltzmann with integral of collisions in relaxation form in coordinate space is used. We will notice…

Mathematical Physics · Physics 2010-01-25 Anatoly V. Latyshev , Alexander Yushkanov

The behaviour of a collisional plasma which is optically thin to cyclotron radiation is considered, and the distribution functions accessible to it on the various timescales in the system are calculated. Particular attention is paid to the…

Plasma Physics · Physics 2020-10-29 Daniel Kennedy , Per Helander

Ultracold plasmas are formed by photo-exciting clouds of cold atoms and molecules near the ionization threshold. They explore a new region of plasma physics and display effects of strong coupling, which is characterized by a ratio of…

Plasma Physics · Physics 2012-01-05 J. Castro , P. McQuillen , H. Gao , T. C. Killian

A long-standing debate in the literature about the kinetic form of the Bohm criterion is resolved for plasmas with single positive ion species when transport is dominated by charge exchange collisions. The solution of the Boltzmann equation…

Plasma Physics · Physics 2018-06-05 Tsanko Vaskov Tsankov , Uwe Czarnetzki

The phase space of a noncanonical Hamiltonian system is partially inaccessible due to dynamical constraints (Casimir invariants) arising from the kernel of the Poisson tensor. When an ensemble of noncanonical Hamiltonian systems is allowed…

Statistical Mechanics · Physics 2024-05-20 Naoki Sato , Philip J. Morrison

A new form of the model collision operator for a Boltzmann gas of hard spheres and Coulomb plasma is derived. One-component and many-component systems are considered. The collision operator proposed takes properly into account the…

Statistical Mechanics · Physics 2014-09-23 Viacheslav V. Belyi

The physical foundations of the dissipation of energy and the associated heating in weakly collisional plasmas are poorly understood. Here, we compare and contrast several measures that have been used to characterize energy dissipation and…

Classical Molecular Dynamics (MD) simulations for a one-component plasma (OCP) are presented. Quantum effects are included in the form of the Kelbg potential. Results for the dynamical structure factor are compared with the Vlasov and RPA…

Plasma Physics · Physics 2009-11-06 V. Golubnychiy , M. Bonitz , D. Kremp , M. Schlanges

A generalized Fokker-Planck equation is derived to describe particle kinetics in specific situations when the probability transition function (PTF) has a long tail in momentum space. The equation is valid for an arbitrary value of the…

Statistical Mechanics · Physics 2011-08-15 A. A. Dubinova , S. A. Trigger

Formulas for transverse conductance in quantum Maxwellian collisional plasma are deduced. The kinetic Von Neumann equation in momentum space with collision integral in the relaxation form is used. It is shown, that at Planck's constant…

Plasma Physics · Physics 2012-06-27 A. V. Latyshev , A. A. Yushkanov

We consider the motion of a finite though large number of particles in the whole space R n. Particles move freely until they experience pairwise collisions. We use our recent theory of divergence-controlled positive symmetric tensors in…

Analysis of PDEs · Mathematics 2019-03-15 Denis Serre

Many physical observables can be represented as a particle spending some random time within a given domain. For a broad class of transport-dominated processes, we detail how it is possible to express the moments of the number of particle…

Statistical Mechanics · Physics 2011-07-05 Andrea Zoia , Eric Dumonteil , Alain Mazzolo

We perform exact coupled-channels calculations, taking into account properly the effects of Coulomb coupling and the finite excitation energy of collective excitations in the colliding nuclei, for three Fm formation reactions, $^{37}$Cl +…

Nuclear Theory · Physics 2009-11-10 K. Hagino , N. Rowley , T. Ohtsuki , M. Dasgupta , J. O. Newton , D. J. Hinde