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We review the quantum version of the linear Boltzmann equation, which describes in a non-perturbative fashion, by means of scattering theory, how the quantum motion of a single test particle is affected by collisions with an ideal…

Quantum Physics · Physics 2010-09-28 Bassano Vacchini , Klaus Hornberger

We discuss a semi-analytical solution of the transport equation for electrons at a non-relativistic shock in the presence of synchrotron energy losses. We calculate the spectrum of accelerated (test) particles at any point upstream and…

High Energy Astrophysical Phenomena · Physics 2015-05-14 Pasquale Blasi

We study the three-dimensional transport theory of massive spin-1/2 fermions resulting from the vorticity dependent quantum kinetic equation. This quantum kinetic equation has been introduced to take account of noninertial properties of…

High Energy Physics - Theory · Physics 2022-09-02 Ö. F. Dayi , S. E. Gürleyen

By mapping steady-state nonequilibrium to an effective equilibrium, we formulate nonequilibrium problems within an equilibrium picture where we can apply existing equilibrium many-body techniques to steady-state electron transport problems.…

Strongly Correlated Electrons · Physics 2015-06-25 J. E. Han

We develop a theory for the nonequilibrium coherent transport through a mesoscopic region, based on the nonequilibrium Green function technique. The theory requires the weak coupling between the central mesoscopic region and the multiple…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Yu Zhu , Tsung-han Lin , Qing-feng Sun

Using the Schwinger-Keldysh technique, we derive the transport equations for a system of quantum scalar fields. We first discuss the general structure of the equations and then their collision terms. Taking into account up to three-loop…

High Energy Physics - Phenomenology · Physics 2009-11-10 Margaret E. Carrington , Stanislaw Mrowczynski

The method of nonequilibrium Greens functions allows for a spatial and energetical resolution of the electron current in Quantum Cascade Lasers. While scattering does not change the spatial position of carriers, the entire spatial evolution…

Mesoscale and Nanoscale Physics · Physics 2008-01-02 Andreas Wacker

Scattering of carriers with ionized impurities governs charge transport in doped semiconductors. However, electron interactions with ionized impurities cannot be fully described with quantitative first-principles calculations, so their…

Materials Science · Physics 2021-10-12 I-Te Lu , Jin-Jian Zhou , Jinsoo Park , Marco Bernardi

The present paper discusses the diffusion approximation of the linear Boltzmann equation in cases where the collision frequency is not uniformly large in the spatial domain. Our results apply for instance to the case of radiative transfer…

Analysis of PDEs · Mathematics 2015-03-23 Claude Bardos , Etienne Bernard , François Golse , Rémi Sentis

Starting from the Kadanoff-Baym relativistic transport equation and the multiple scattering expansion of the self-energy, we obtain the Boltzmann collision terms for any number of participating particles to all orders in perturbation theory…

High Energy Physics - Phenomenology · Physics 2009-11-11 F. Fillion-Gourdeau , J. -S. Gagnon , S. Jeon

We consider scattering and transport in interacting quantum wires that are connected to leads. Such a setup can be represented by a minimal model of interacting fermions with inhomogeneities in the form of sudden changes in interaction…

Strongly Correlated Electrons · Physics 2012-09-10 N. Sedlmayr , J. Ohst , I. Affleck , J. Sirker , S. Eggert

We introduce a general procedure to extract the wave function of quasiparticles in AC-driven quantum conductors. By incorporating the Bloch-Messiah reduction into the scattering theory approach to quantum transport, we construct the…

Mesoscale and Nanoscale Physics · Physics 2018-01-11 Y. Yin

We consider a semiclassical linear Boltzmann model with a non local collision operator. We provide sharp spectral asymptotics for the small spectrum in the low temperature regime from which we deduce the rate of return to equilibrium as…

Analysis of PDEs · Mathematics 2022-06-10 Thomas Normand

We present the theory of the electronic transfer and the optical properties of the quasi-zero dimensional quantum nanostructures, like quantum dots or the DNA molecule. The theory is based on the multiple scattering of the charge carriers…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Karel Kral , Miroslav Mensik

A mixture of dissipative hard grains generically exhibits a breakdown of kinetic energy equipartition. The undriven and thus freely cooling binary problem, in the tracer limit where the density of one species becomes minute, may exhibit an…

Statistical Mechanics · Physics 2015-03-13 Vicente Garzó , Nagi Khalil , Emmanuel Trizac

We present a set of modified quantum rate equations, with the help of the nonequilibrium Green's function and slave-particle techniques along with the correct quantization, for description of the quantum transport through an interacting…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bing Dong , H. L. Cui , X. L. Lei

We investigate nonlinear transport properties of quantum conductors in response to both electrical and thermal driving forces. Within scattering approach, we determine the nonequilibrium screening potential of a generic mesoscopic system…

Mesoscale and Nanoscale Physics · Physics 2013-01-16 David Sanchez , Rosa Lopez

We study the kinetic theory of a weakly interacting quantum field. Assuming a state that is close to homogeneous and stationary, we derive a closed kinetic equation for the rate of change of the occupation numbers, perturbatively in the…

High Energy Physics - Theory · Physics 2025-09-03 Xu-Yao Hu , Vladimir Rosenhaus

For charged particle transport the linear Boltzmann transport equation (BTE) turns out to be a partial hyper-singular integro-differential operator. This is due to the fact that the related differential cross-sections…

Analysis of PDEs · Mathematics 2019-02-15 Jouko Tervo

By adding generalizations involving translations, the machinery of the quantum theory of free fields leads to the semiclassical equations of motion for a charged massive particle in electromagnetic and gravitational fields. With the…

General Physics · Physics 2015-07-07 Richard Shurtleff