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On the basis of the tight-binding formalism and Green function technique we obtain all the Green functions matrix elements for a biased chain with a linear variation of the electron on-site energy. Their dependence on the system parameters…

介观与纳米尺度物理 · 物理学 2021-11-18 Lyuba Malysheva

Small thermodynamic systems exhibit peculiar behavior different from that observed in long-scale systems. Non-equilibrium processes taking place in those systems are strongly influenced by the presence of fluctuations which can be large.…

统计力学 · 物理学 2007-05-23 J. M. Rubi

Quantum transport of strongly correlated fermions is of central interest in condensed matter physics. Here, we present first-principle nonequilibrium Green functions results using $T$-matrix selfenergies for finite Hubbard clusters of…

量子气体 · 物理学 2016-01-15 N. Schlünzen , S. Hermanns , M. Bonitz , C. Verdozzi

We consider a system of nonlinear partial differential equations describing the motion of an incompressible chemically reacting generalized Newtonian fluid in three space dimensions. The governing system consists of a steady…

数值分析 · 数学 2017-08-29 Seungchan Ko , Endre Suli

We introduce a nonequilibrium grand-canonical ensemble defined by considering the stationary state of a driven system of particles put in contact with a nonequilibrium particle reservoir. At odds with its equilibrium counterpart, or with…

统计力学 · 物理学 2021-02-10 Jules Guioth , Éric Bertin

Transitions between nonequilibrium steady states obey a generalized Clausius inequality, which becomes an equality in the quasistatic limit. For slow but finite transitions, we show that the behavior of the system is described by a response…

统计力学 · 物理学 2016-06-20 Dibyendu Mandal , Christopher Jarzynski

A method to implement the many-body Green function formalism in the GW approximation for infinite non periodic systems is presented. It is suitable to treat systems of known ``asymptotic'' properties which enter as boundary conditions,…

材料科学 · 物理学 2008-11-24 G. Fratesi , G. P. Brivio , L. G. Molinari

We develop a Green's function formalism for spin transport through heterostructures that contain metallic leads and insulating ferromagnets. While this formalism in principle allows for the inclusion of various magnonic interactions, we…

介观与纳米尺度物理 · 物理学 2017-11-22 Jiansen Zheng , Scott Bender , Jogundas Armaitis , Roberto E. Troncoso , R. A. Duine

We review the non-relativistic Green's-function approach to the kinetic equations for Fermi liquids far from equilibrium. The emphasis is on the consistent treatment of the off-shell motion between collisions and on the non-instant and…

核理论 · 物理学 2017-03-08 P. Lipavsky , K. Morawetz , V. Spicka

In this paper we obtain the explicit expression of the Green's function related to a general $n$ order differential equation coupled to non-local linear boundary conditions. In such boundary conditions, a $n$ dimensional parameter…

经典分析与常微分方程 · 数学 2021-07-13 Alberto Cabada , Lucía López-Somoza , Mouhcine Yousfi

The calculation of work distributions in a quantum many-body system is of significant importance and also of formidable difficulty in the field of nonequilibrium quantum statistical mechanics. To solve this problem, inspired by…

统计力学 · 物理学 2020-07-01 Zhaoyu Fei , H. T. Quan

The linear response of non-equilibrium systems with Markovian dynamics satisfies a generalized fluctuation-dissipation relation derived from time symmetry and antisymmetry properties of the fluctuations. The relation involves the sum of two…

统计力学 · 物理学 2011-01-07 Juan Ruben Gomez-Solano , Artyom Petrosyan , Sergio Ciliberto , Christian Maes

Near equilibrium, Green-Kubo relations provide microscopic expressions for macroscopic transport coefficients in terms of equilibrium correlation functions. At their core, they are based on the intimate relationship between response and…

统计力学 · 物理学 2021-12-16 Hyun-Myung Chun , Qi Gao , Jordan M. Horowitz

A quantum transport model incorporating spin scattering processes is presented using the non-equilibrium Green's function (NEGF) formalism within the self-consistent Born approximation. This model offers a unified approach by capturing the…

介观与纳米尺度物理 · 物理学 2009-11-11 Ahmet Ali Yanik , Gerhard Klimeck , Supriyo Datta

An analysis shows that the ground state of the inhomogeneous system of interacting electrons in the static external field, which satisfies the thermodynamic limit, can be consistently described only using the Green function theory based on…

统计力学 · 物理学 2014-09-02 V. B. Bobrov

In this work we investigate the late-time stationary states of open quantum systems coupled to a thermal reservoir in the strong coupling regime. In general such systems do not necessarily relax to a Boltzmann distribution if the coupling…

统计力学 · 物理学 2013-01-15 Y. Subasi , C. H. Fleming , J. M. Taylor , B. L. Hu

The conditions of existence of extra mass flux in single component dissipative non-relativistic fluids are clarified. By considering Galilean invariance we show that if total mass flux is equal to total momentum density, then mass,…

流体动力学 · 物理学 2017-04-11 Peter Ván , Michal Pavelka , Miroslav Grmela

We generalize the methods used in the theory of correlation dynamics and establish a set of equations of motion for many-body correlation green's functions in the non-relativistic case. These non-linear and coupled equations of motion…

核理论 · 物理学 2015-06-26 Shun-Jin Wang , Wei Zuo , Wolfgang Cassing

Considering von Neumann expression for reduced density matrix as thermodynamic entropy of a system strongly coupled to baths, we use nonequilibrium Green's function (NEGF) techniques to derive bath and energy resolved expressions for…

介观与纳米尺度物理 · 物理学 2021-02-17 Nikhil Seshadri , Michael Galperin

Construction of a nonlinear higher-order thermo-hydrodynamics, including correlations, in the framework of a Generalized Nonequilibrium Statistical Grand-Canonical Ensemble is presented. In that way it is provided a particular formalism for…

统计力学 · 物理学 2007-05-23 Áurea R. Vasconcellos , J. Galvão Ramos , Roberto Luzzi