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We analyze the applicability of the Fermi-golden-rule description of quasiparticle relaxation in a closed diffusive quantum dot with electron-electron interaction. Assuming that single-particle levels are already resolved but the initial…

Strongly Correlated Electrons · Physics 2016-04-29 Vladyslav A. Kozii , Mikhail A. Skvortsov

We study the thermodynamics of quantum particles with long-range interactions at T=0. Specifically, we generalize the Hamiltonian Mean Field (HMF) model to the case of fermions and bosons. In the case of fermions, we consider the…

Statistical Mechanics · Physics 2015-12-01 Pierre-Henri Chavanis

We present a 3D quantum mechanical theory of radio-frequency outcoupled atom lasers from trapped atomic gases in the presence of the gravitational force. Predictions for the total outcoupling rate as a function of the radio-frequency and…

Other Condensed Matter · Physics 2007-05-23 Tobias Kramer , Mirta Rodriguez

We consider the bremsstrahlung of electrons of fully ionized plasma. Electron energy range extends from a few hundred electron volts before the extreme relativistic energies of several MeV. The results of calculations of effective slow-down…

Plasma Physics · Physics 2011-09-20 A. Yu. Chirkov

We develop a simple, mean-field-like theory for the normal phase of a unitary Fermi gas by deriving a self-consistent equation for its self-energy via a momentum-dependent coupling constant for both attractive and repulsive universal…

Quantum Gases · Physics 2013-01-09 Erik M. Weiler , Theja N. De Silva

External electric circuits attached to radio-frequency plasma discharges are essential for the power transfer into the discharge and are, therefore, a key element for plasma operation. Many plasma simulations, however, simplify or even…

Plasma Physics · Physics 2019-05-22 Frederik Schmidt , Jan Trieschmann , Tobias Gergs , Thomas Mussenbrock

Bounded plasmas are characterized by a rapid but smooth transition from quasi-neutrality in the volume to electron depletion close to the electrodes and chamber walls. The thin non-neutral region, the boundary sheath, comprises only a small…

We have studied the collective plasma excitations of a two-dimensional electron gas with an arbitrary lateral charge-density modulation. The dynamics is formulated using a previously developed hydrodynamic theory based on the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. P. van Zyl , E. Zaremba

A new code called VAAQP (Variational Average-Atom in Quantum Plasmas) is reported. The model as well as main results of previous studies are briefly recalled. The code is based on a new fully variational model of dense plasmas at…

Plasma Physics · Physics 2016-09-07 R. Piron , T. Blenski , B. Cichocki

For atoms embedded in dense plasma, the plasma screening effects will greatly alter their structure and dynamics, and then determine the radiation transport properties of the plasma. In the present work, a new statistical model is proposed…

Plasma Physics · Physics 2020-11-25 Fuyang Zhou , Yizhi Qu , Junwen Gao , Yulong Ma , Yong Wu , Jianguo Wang

We briefly review the Thomas-Fermi statistical model of atoms in the classical non-relativistic formulation and in the generalised finite-nucleus relativistic formulation. We then discuss the classical generalisation of the model to finite…

Astrophysics · Physics 2017-08-23 G. Bertone , R. Ruffini

The calculation of observable averages in non-equilibrium regimes is one of the most important problems in statistical physics. Using the Hamiltonian approach of nonlinear response theory, we obtain a series expansion of the average excess…

Statistical Mechanics · Physics 2022-01-13 Pierre Nazé , Marcus V. S. Bonança

We consider the description of a Fermi gas of free electrons given by the Boltzmann--Fermi--Dirac equation, and aim at providing a precise mathematical understanding of the Fermi ground state and its first-order approximation of excited…

Analysis of PDEs · Mathematics 2025-10-14 Benjamin Anwasia , Diogo Arsénio

In the normal one-temperature plasma the motion of ions is usually neglected when calculating the Bremsstrahlung radiation of the plasma. Here we calculate the Bremsstrahlung radiation of a two-temperature plasma by taking into account of…

Astrophysics · Physics 2014-10-13 Bin Luo , S. Nan Zhang

Using a perturbative approach, an evolution equation for the space charge density, correct up to the third order, is deduced for arbitrary initial density profiles of the electron and ion fluids in a cold nonrelativistic plasma. The…

Plasma Physics · Physics 2024-10-10 Subhasish Bag , Vikrant Saxena

A general approach to analyze the electrodynamics of nuclear matter in bulk is presented using the relativistic Thomas-Fermi equation generalizing to the case of $N \simeq (m_{\rm Planck}/m_n)^3$ nucleons of mass $m_n$ the approach well…

Astrophysics · Physics 2008-11-26 Remo Ruffini , Michael Rotondo , She-Sheng Xue

A multispecies, collisionless plasma is modeled by the Vlasov-Poisson system. Assuming that the electric field decays with sufficient rapidity as $t \to\infty$, we show that the velocity characteristics and spatial averages of the particle…

Analysis of PDEs · Mathematics 2022-01-25 Stephen Pankavich

Inverse problems are of great importance in astrophysics for deriving information about the physical characteristics of hot optically thin plasma sources from their EUV and X-ray spectra. We describe and test an iterative method developed…

Solar and Stellar Astrophysics · Physics 2014-01-24 F. F. Goryaev , S. Parenti , A. M. Urnov , S. N. Oparin , J. -F. Hochedez , F. Reale

Potential (electrostatic) surface waves in plasma half-space with degenerate electrons are studied using the quasi-classical mean-field kinetic model. The wave spectrum and the collisionless damping rate are obtained numerically for a wide…

Plasma Physics · Physics 2015-06-03 Yu. O. Tyshetskiy , D. Williamson , R. Kompaneets , S. V. Vladimirov

The plasma exit flow speed at the sheath entrance is constrained by the Bohm criterion. The so-called Bohm speed regulates the plasma particle and power exhaust fluxes to the wall, and it is commonly deployed as a boundary condition to…

Plasma Physics · Physics 2022-03-14 Yuzhi Li , Bhuvana Srinivasan , Yanzeng Zhang , Xian-Zhu Tang