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We develop a kinetic theory for strongly correlated disordered one-dimensional electron systems out of equilibrium, within the Luttinger liquid model. In the absence of inhomogeneities, the model exhibits no relaxation to equilibrium. We…

Strongly Correlated Electrons · Physics 2009-09-25 D. A. Bagrets , I. V. Gornyi , D. G. Polyakov

The departure of a granular gas in the instable region of parameters from the initial homogeneous cooling state is studied. Results from Molecular Dynamics and from Direct Monte Carlo simulation of the Boltzmann equation are compared. It is…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. J. Ruiz-Montero

The large-$Z$ asymptotic expansion of atomic energies has been useful in determining exact conditions for corrections to the local density approximation in density functional theory. The correction for exchange is fit well with a leading $Z…

Chemical Physics · Physics 2023-04-13 Nathan Argaman , Jeremy Redd , Antonio C. Cancio , Kieron Burke

The knowledge of a series expansion of the equation of state provides a deep insight into the physical nature of a quantum system. Starting from a generic ``perturbative'' equation of state of a homogeneous ultracold gas we make predictions…

Strongly Correlated Electrons · Physics 2009-11-11 G. E. Astrakharchik

Luttinger liquid theory accounts for the low energy boson excitations of one-dimensional quantum liquids, but disregards the high energy excitations. The most important high energy excitations are holes which have infinite lifetime at zero…

Strongly Correlated Electrons · Physics 2015-06-04 K. A. Matveev , A. V. Andreev

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

Experiments on isotropic compression of a granular assembly of spheres show that the shear and bulk moduli vary with the confining pressure faster than the 1/3 power law predicted by Hertz-Mindlin effective medium theories (EMT) of contact…

Soft Condensed Matter · Physics 2009-11-11 Hernan A. Makse , Nicolas Gland , David L. Johnson , Lawrence Schwartz

We present a new model of electron transport in warm and hot dense plasmas which combines the quantum Landau-Fokker-Planck equation with the concept of mean-force scattering. We obtain electrical and thermal conductivities across several…

Plasma Physics · Physics 2020-05-27 Nathaniel R. Shaffer , Charles E. Starrett

We investigate high-mobility two-dimensional electron gases in AlGaAs heterostructures by employing Schottky-gate-dependent measurements of the samples' electron density and mobility. Surprisingly, we find that two different sample…

Mesoscale and Nanoscale Physics · Physics 2011-06-16 C. Rossler , T. Feil , P. Mensch , T. Ihn , K. Ensslin , D. Schuh , W. Wegscheider

Expansion dynamics of single-species, non-neutral clouds, such as electron bunches used in ultrafast electron microscopy, show novel behavior due to high acceleration of particles in the cloud interior. This often leads to electron bunching…

Accelerator Physics · Physics 2018-08-01 Brandon Zerbe , Xukun Xiang , Chong-Yu Ruan , Steve Lund , Phil Duxbury

For a better understanding of the chaotic behavior of systems of many moving particles it is useful to look at other systems with many degrees of freedom. An interesting example is the high-dimensional Lorentz gas, which, just like a system…

Chaotic Dynamics · Physics 2009-11-10 Astrid S. de Wijn , Henk van Beijeren

We show that both confined atoms and electron-atom scattering can be described by a unified basis set method. The central idea behind this method is to place the atom inside a hard potential sphere, enforced by a standard Slater type basis…

Other Condensed Matter · Physics 2015-05-13 Meta van Faassen

In view of its local character, the semiclassical or Boltzmann theory is intrinsically unable to describe transport phenomena on ultrashort space and time scales, and to this purpose genuine quantum-transport approaches are imperative. By…

Mesoscale and Nanoscale Physics · Physics 2014-02-13 Roberto Rosati , Fausto Rossi

Few equilibrium --even less so nonequilibrium-- statistical-mechanical models with continuous degrees of freedom can be solved exactly. Classical hard-spheres in infinitely many space dimensions are a notable exception. We show that even…

Statistical Mechanics · Physics 2020-01-01 Thibaut Arnoulx de Pirey , Gustavo S. Lozano , Frédéric van Wijland

The Foldy-Lax equation is generalized for a medium which consists of particles with both electric and magnetic responses. The result is used to compute fields scattered from ensembles of particles. The computational complexity is reduced by…

Optics · Physics 2021-09-22 Lang Wang , Ilia L. Rasskazov , P. Scott Carney

We study the long time behavior of light particles, e.g. an electron swarm in which Coulomb interactions are unimportant, subjected to an external field and elastic collisions with an inert neutral gas. The time evolution of the velocity…

Plasma Physics · Physics 2009-10-31 J. L. Lebowitz , A. Rokhlenko

The near- and far-field photoluminescence spectra of a gated two-dimensional electron gas have been measured. Spatial fluctuations in the electron density are found to be manifested as spatial fluctuations in the emission amplitude of the…

Condensed Matter · Physics 2009-10-31 Y. Yayon , M. Rappaport , V. Umansky , I. Bar-Joseph

We deal with the electromagnetic waves propagation in the harmonic regime. We derive the Foldy-Lax approximation of the scattered fields generated by a cluster of small conductive inhomogeneities arbitrarily distributed in a bounded domain…

Analysis of PDEs · Mathematics 2018-02-12 Ali Bouzekri , Mourad Sini

Electron capture and emission by Coulomb scattering in self-assembled quantum dot (QD) devices is studied theoretically. While the dependence of the Coulomb scattering (Auger) rates on the local wetting layer electron density has been a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Wetzler , A. Wacker , E. Sch"oll

New model equations are derived for dynamics of self-aggregation of finite-size particles. Differences from standard Debye-Huckel and Keller-Segel models are: the mobility of particles depends on the configuration of their neighbors and…

Pattern Formation and Solitons · Physics 2009-11-11 Darryl D. Holm , Vakhtang Putkaradze