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Related papers: Transport Theory beyond Binary Collisions

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Using the Schwinger-Keldysh technique we discuss how to derive the transport equations for the system of massless quantum fields. We analyse the scalar field models with quartic and cubic interaction terms. In the $\phi^4$ model the massive…

High Energy Physics - Theory · Physics 2014-11-18 Stanislaw Mrowczynski

We derive transport equations for fermions and bosons in spatially or temporally varying backgrounds with special symmetries, by use of the Schwinger-Keldysh formalism. In a noninteracting theory the coherence information is shown to be…

High Energy Physics - Phenomenology · Physics 2014-11-18 Matti Herranen , Kimmo Kainulainen , Pyry M. Rahkila

We derive quantum Boltzmann equations from Schwinger-Dyson equations in gradient expansion for a weakly coupled scalar field theory with a spatially varying mass. We find that at higher order in gradients a full description of the system…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

This is the first in a series of two papers. We use the Schwinger-Keldysh formalism to derive semiclassical Boltzmann transport equations for massive chiral fermions and scalar particles. Our considerations include complex mass terms and…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Prokopec , M. G. Schmidt , S. Weinstock

We derive the Boltzmann equation for scalar fields using the Schwinger-Keldysh formalism. The focus lies on the derivation of the collision term. We show that the relevant self-energy diagrams have a factorization property. The collision…

High Energy Physics - Phenomenology · Physics 2009-11-11 Steffen Weinstock

We present a new method to derive transport equations for quantum many-particle systems. This method uses an equation-of-motion technique and is applicable to systems with bosons and fermions, arbitrary interactions and time-dependent…

Statistical Mechanics · Physics 2009-10-28 J. Fricke

We consider the junction of multiple one-dimensional systems and study how conserved currents transport at the junction. To characterize the transport process, we introduce reflection/transmission coefficients by applying boundary conformal…

High Energy Physics - Theory · Physics 2015-07-30 Taro Kimura , Masaki Murata

This is the second in a series of two papers. While in Paper I we derive semiclassical Boltzmann transport equations and study their flow terms, here we address the collision terms. We use a model Lagrangean, in which fermions couple to…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Prokopec , M. G. Schmidt , S. Weinstock

We describe microscopic theory for the quantum transport through finite interacting systems connected to noninteracting leads. It can be applied to small systems such as quantum dots, quantum wires, atomic chain, molecule, and so forth. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Akira Oguri

We systematically derive a linear quantum collision operator for the spinorial Wigner transport equation from the dynamics of a composite quantum system. For suitable two particle interaction potentials, the particular matrix form of the…

Quantum Physics · Physics 2013-07-29 Benjamin A. Stickler , Stefan Possanner

The transport approach is a useful tool to study dynamics of non-equilibrium systems. For heavy-ion collisions at intermediate energies, where both the smooth nucleon potential and the hard-core nucleon-nucleon collision are important, the…

Nuclear Theory · Physics 2019-04-02 Jun Xu

This thesis is divided into two major parts. Part I provides an overview of some of the most important formalisms of transport theory, while Part II provides a presentation and discussion of my own work. The order in which these parts are…

Mesoscale and Nanoscale Physics · Physics 2019-10-25 Lars Musland

Traditional theories of electron transport in crystals are based on the Boltzmann equation and do not capture physics arising from quantum coherence. We introduce a transport formalism based on ''orbital Wigner functions'', which accurately…

Input-output theory is a well-known tool in quantum optics and ubiquitous in the description of quantum systems probed by light. Owing to the generality of the setup it describes, the theory finds application in a wide variety of…

Quantum Physics · Physics 2026-04-30 Aaron Daniel , Matteo Brunelli , Aashish A. Clerk , Patrick P. Potts

We derive the relativistic quantum kinetic equation for massless fermions with vector and axial vector interaction using the Wigner function formalism. The vector and axial vector currents are self-consistently treated with corresponding…

High Energy Physics - Phenomenology · Physics 2024-07-04 Peiwei Yu , Xingyu Guo

We report on a work in progress, whose goal is a systematic field theoretical derivation of the quantum transport equations for baryon production in the electroweak plasma at a first order phase transition in the limit of slowly varying…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

Theories describing electrical transport in semiconductor superlattices can essentially be divided in three disjoint categories: i) transport in a miniband; ii) hopping between Wannier-Stark ladders; and iii) sequential tunneling. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Andreas Wacker , Antti-Pekka Jauho

Within the real-time formulation of nonequilibrium field theory, generalized transport equations are derived avoiding the standard quasiparticle approximation. They permit to include unstable particles into the transport scheme. In order to…

Nuclear Theory · Physics 2011-07-19 Yu. B. Ivanov , J. Knoll , D. N. Voskresensky

We review the description and modeling of transport phenomena among the electron systems coupled via scalar or vector photons. It consists of three parts. The first part is about scalar photons, i.e., Coulomb interactions. The second part…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Jian-Sheng Wang , Jiebin Peng , Zu-Quan Zhang , Yong-Mei Zhang , Tao Zhu

We compute the current and the noise power matrix in a quantum dot connected to two metallic reservoirs by using the Keldysh field theory approach, a non-equilibrium quantum field theory language in the functional integral formalism. We…

Mesoscale and Nanoscale Physics · Physics 2024-11-20 Marco Uguccioni , Luca Dell'Anna
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