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The dynamic density response function, form-factor, and spectral function of a Luttinger liquid with Coulomb electron-electron interaction are studied with the emphasis on the short-range electron correlations. The Coulomb interaction…

Strongly Correlated Electrons · Physics 2009-11-07 Yasha Gindikin , V. A. Sablikov

This article introduces a conservative formulation of the Standard Enskog equation and the Povzner equation, both of which generalize the Boltzmann equation by incorporating the contribution of particle volume in collisions. The primary…

Analysis of PDEs · Mathematics 2025-12-02 Zhe Chen

The formulation of combinatorial differential forms, proposed by Forman for analysis of topological properties of discrete complexes, is extended by defining the operators required for analysis of physical processes dependent on scalar…

Mathematical Physics · Physics 2026-05-22 Kiprian Berbatov , Pieter D. Boom , Andrew L. Hazel , Andrey P. Jivkov

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

Finite size effects in the equilibrium phase space density distribution function are taken into account for alculations of the relaxation of collective motion in finite nuclei. Memory effects in the collision integral and the diffusivity…

Nuclear Theory · Physics 2009-09-25 V. M. Kolomietz , S. V. Lukyanov , V. A. Plujko , S. Shlomo

The Hamiltonian structures of several hybrid kinetic-fluid models are identified explicitly, upon considering collisionless Vlasov dynamics for the hot particles interacting with a bulk fluid. After presenting different pressure-coupling…

Plasma Physics · Physics 2010-07-29 Cesare Tronci

We derive a quantum master equation from first principles to describe friction in one dimensional, collisional Brownian motion. We are the first to avoid an ill-defined square of the Dirac delta function by using localized wave packets…

Quantum Physics · Physics 2015-05-13 I. Kamleitner , J. Cresser

The exact 1+3 covariant dynamical fluid equations for a multi-component plasma, together with Maxwell's equations are presented in such a way as to make them suitable for a gauge-invariant analysis of linear density and velocity…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mattias Marklund , Peter K. S. Dunsby , Gerold Betschart , Martin Servin , Christos Tsagas

General self-consistent expressions for the coefficients of diffusion and dynamical friction in a stable, bound, multicomponent self-gravitating and inhomogeneous system are derived. They account for the detailed dynamics of the colliding…

Astrophysics of Galaxies · Physics 2017-06-20 Jean Heyvaerts , Jean-Baptiste Fouvry , Pierre-Henri Chavanis , Christophe Pichon

In weakly collisional and collisionless magnetized plasmas, the pressure-strain interaction describes the rate of conversion between bulk flow and thermal energy density. In this study, we derive an analytical expression for the…

Plasma Physics · Physics 2023-01-04 Paul A. Cassak , M. Hasan Barbhuiya , H. Arthur Weldon

Collisional and stochastic wave-particle dynamics in plasmas far from equilibrium are complex, temporally evolving, stochastic processes which are challenging to model. In this work, we extend previous methods coupling differentiable…

Plasma Physics · Physics 2026-04-27 Diogo D. Carvalho , Luis O. Silva , E. Paulo Alves

This perspective paper deals with an overview of particle-in-cell / Monte Carlo collision models applied to different plasma-propulsion configurations and scenarios, from electrostatic (E x B and pulsed arc) devices to electromagnetic (RF…

Plasma Physics · Physics 2023-04-12 F. Taccogna , F. Cichocki , D. Eremin , G. Fubiani , L. Garrigues

Many plasmas of interest to the astrophysical and fusion communities are weakly collisional. In such plasmas, small scales can develop in the distribution of particle velocities, potentially affecting observable quantities such as turbulent…

Plasma Physics · Physics 2015-05-13 Michael Barnes , William Dorland , Tomoya Tatsuno

We study a homogeneously driven granular gas of inelastic hard particles with rough surfaces subject to Coulomb friction. The stationary state as well as the full dynamic evolution of the translational and rotational granular temperatures…

Soft Condensed Matter · Physics 2015-06-24 Olaf Herbst , Raffaele Cafiero , Annette Zippelius , Hans Jürgen Herrmann , Stefan Luding

We present a simple exact formula for the three point velocity correlation functions in two dimensional turbulence which is valid on all scales and which interpolates between the direct and inverse cascade regimes. As expected, these…

chao-dyn · Physics 2023-04-10 Denis Bernard

In models of dark matter composed of feebly interacting ultralight bosons in the state of Bose-Einstein condensate, the dynamical friction force acting on circularly moving globular clusters modelled as Plummer spheres is determined.…

Astrophysics of Galaxies · Physics 2025-07-17 V. M. Gorkavenko , A. I. Yakimenko , A. O. Zaporozhchenko , E. V. Gorbar

Spectral lines emitted by plasmas provide information about the thermodynamic conditions, the degree of randomness or the interactions prevailing in the medium. Collisions by plasma electrons penetrating the extent of bound-electron…

Atomic Physics · Physics 2019-05-22 Jean-Christophe Pain , Franck Gilleron

Starting from a microscopic approach, we develop a covariant formalism to describe a set of interacting gases. For that purpose, we model the collision term entering the Boltzmann equation for a class of interactions and then integrate this…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jean-Philippe Uzan

The boundary problem about behavior (oscillations) of the electronic plasmas with arbitrary degree of degeneration of electronic gas in half-space with specular boundary conditions is analytically solved. The kinetic equation of…

Plasma Physics · Physics 2017-03-07 A. V. Latyshev , S. Sh. Suleymanova

We propose a Langevin model with Coulomb friction. Through the analysis of the corresponding Fokker-Planck equation, we have obtained the steady velocity distribution function under the influence of the external field.

Statistical Mechanics · Physics 2009-11-10 Hisao Hayakawa