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Scattering phenomena between charged particles and highly excited Rydberg atoms are of critical importance in many processes in plasma physics and astrophysics. While a Maxwell-Boltzmann (MB) energy distribution for the charged particles is…

Plasma Physics · Physics 2020-12-09 Daniel Vrinceanu , Roberto Onofrio , Hossein R. Sadeghpour

We study the high-energy asymptotics of the steady velocity distributions for model systems of granular media in various regimes. The main results obtained are integral estimates of solutions of the hard-sphere Boltzmann equations, which…

Mathematical Physics · Physics 2009-11-10 Alexander V. Bobylev , Irene M. Gamba , Vladislav A. Panferov

We present a concise derivation of the Boltzmann form for single-particle energy distributions in classical many-body Hamiltonian systems. The derivation relies on two physical facts: coarse-graining-scale invariance of the empirical…

Statistical Mechanics · Physics 2026-05-26 Weicheng Fu , Yisen Wang , Yong Zhang , Hong Zhao

We consider electron-phonon (\textit{e-ph}) energy loss rate in 3D and 2D multi-component electron systems in semiconductors. We allow general asymmetry in the \textit{e-ph} coupling constants (matrix elements), i.e., we allow that the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Mika Prunnila

Long range frequency chirping of Bernstein-Greene-Kruskal modes, whose existence is determined by the fast particles, is investigated in cases where these particles do not move freely and their motion is bounded to restricted orbits. An…

Plasma Physics · Physics 2017-10-11 H. Hezaveh , Z. S. Qu , B. Layden , M. J. Hole

In compound semiconductors and insulators, the polar electron-phonon coupling diverges at long range, known as the Fr\"ohlich interaction. Modern first-principles electron-phonon calculations treat the Fr\"ohlich interaction in a…

We present a rigorous solution of the Boltzmann equation for the electron-phonon scattering problem in three spatial dimensions in the limit of low temperatures. The different temperature scaling of the various scattering rates turns the…

Mathematical Physics · Physics 2021-03-17 J. Amarel , D. Belitz , T. R. Kirkpatrick

A method is presented for the improved calculation of super-shell partition functions which include the repulsive electron-electron interaction energy terms in the Boltzmann factor. Heretofore these interaction terms were approximately…

Atomic Physics · Physics 2025-02-04 Daniel Aberg , Brian G. Wilson , Jean-Christophe Pain

The instability of a monoenergetic electron beam in a collisional one-dimensional plasma bounded between grounded walls is considered both analytically and numerically. Collisions between electrons and neutrals are accounted for the plasma…

Plasma Physics · Physics 2017-01-04 Dmytro Sydorenko , Igor D. Kaganovich , Peter L. G. Vetzek

The inelastic light scattering in a 2-d electron gas is studied theoretically using the Boltzmann equation techniques. Electron-hole excitations produce the Raman spectrum essentially different from the one predicted for the 3-d case. In…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko

We present a nonlocal electrostatic formulation of nonuniform ions and water molecules with interstitial voids that uses a Fermi-like distribution to account for steric and correlation effects in electrolyte solutions. The formulation is…

Soft Condensed Matter · Physics 2017-03-27 Jinn-Liang Liu , Dexuan Xie , Bob Eisenberg

We formulate a semiclassical theory for electron transport in open quantum systems with electron-phonon interactions adequate for situations when the system's phonon dynamics is comparable with the electron transport timescale. Starting…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 Maicol A. Ochoa

A formally exact relation is derived which connects thermodynamically non-equilibrium evolution of gas density distribution after its arbitrary strong spatially non-uniform perturbation and evolution of many-particle correlations between…

Statistical Mechanics · Physics 2007-06-01 Yuriy E. Kuzovlev

We compute the moments of the nonlinear binary collision integral in the ultrarelativistic hard-sphere approximation for an arbitrary anisotropic distribution function in the local rest frame. This anisotropic distribution function has an…

Nuclear Theory · Physics 2025-07-03 Etele Molnár

The electron dynamics in dielectric materials induced by intense femtosecond laser pulses is theoretically addressed. The laser driven temporal evolution of the energy distribution of electrons in the conduction band is described by a…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 L. Barilleau , G. Duchateau , B. Chimier , G. Geoffroy , V. Tikhonchuk

We study inelastic electron tunneling through a molecular junction using the non-equilibrium Green function (NEGF) formalism. The effect of the mutual influence between the phonon and the electron subsystems on the electron tunneling…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Michael Galperin , Mark A. Ratner , Abraham Nitzan

An unstable one-dimensional Bernstein-Greene-Kruskal (BGK) mode has been studied through high-precision numerical simulations. The initial turbulent, periodic equilibrium state is obtained by solving a Vlasov-Poisson system for initially…

Plasma Physics · Physics 2025-12-15 Sofia Zanelli , Gabriele Celebre , Sergio Servidio , Francesco Valentini

A definition of nonequilibrium free energy $\mathcal{F}_{\textsc{s}}$ is proposed for dynamical Gaussian quantum open systems strongly coupled to a heat bath and a formal derivation is provided by way of the generating functional in terms…

Statistical Mechanics · Physics 2021-03-10 Jen-Tsung Hsiang , B. L. Hu

Using the kinetic approach, we study the impact of the charged particles dynamics due to the Schwinger effect on the electric field evolution during inflation. As a simple model of the electric field generation, we consider the kinetic…

General Relativity and Quantum Cosmology · Physics 2019-12-11 E. V. Gorbar , A. I. Momot , O. O. Sobol , S. I. Vilchinskii

We develop the method analyzing particle number non-conserving phenomena with non-equilibrium quantum field theory. In this study, we consider a CP violating model with interaction Hamiltonian that breaks particle number conservation. To…

High Energy Physics - Theory · Physics 2015-06-05 Ryuuichi Hotta , Takuya Morozumi , Hiroyuki Takata