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We show that the Landauer multi-terminal formula for the conductance of a nanoscale system is incomplete because it does not take into account many-body effects which cannot be treated as contributions to the single-particle transmission…

介观与纳米尺度物理 · 物理学 2009-11-13 Giovanni Vignale , Massimiliano Di Ventra

Based on the nonequilibrium Green's function technique, a unified theory is developed that covers quantum transport and quantum diffusion in bulk semiconductors on the same footing. This approach, which is applicable to transport via…

统计力学 · 物理学 2015-05-13 P. Kleinert

We develop the general non-equilibrium theory of transport through a quantum dot, including Coulomb Blockade effects via a 1/N expansion, where N is the number of scattering channels. At lowest order we recover the Landauer formula for the…

介观与纳米尺度物理 · 物理学 2009-11-10 Piet W. Brouwer , Austen Lamacraft , Karsten Flensberg

We consider a stochastic heat conduction model for solids composed by N interacting atoms. The system is in contact with two heat baths at different temperature $T_\ell$ and $T_r$. The bulk dynamics conserve two quantities: the energy and…

统计力学 · 物理学 2009-11-13 Cedric Bernardin

We present a detailed study of the first simple mechanical system that shows fully realistic transport behavior while still being exactly solvable at the level of equilibrium statistical mechanics. The system under consideration is a…

统计力学 · 物理学 2009-09-29 H. Larralde , F. Leyvraz , C. Mejia-Monasterio

An overview is given of recent advances in nonequilibrium statistical mechanics about the statistics of random paths and current fluctuations. Although statistics is carried out in space for equilibrium statistical mechanics, statistics is…

统计力学 · 物理学 2016-04-12 Pierre Gaspard

We propose a new method for simulating electron dynamics in open quantum systems out of equilibrium, using a finite atomistic model. The proposed method is motivated by the intuitive and practical nature of the driven Liouville von-Neumann…

介观与纳米尺度物理 · 物理学 2014-09-23 Tamar Zelovich , Leeor Kronik , Oded Hod

Using non-equilibrium Green's functions, we derive a formula for the electron current through a lead-molecule-lead nanojunction where the interactions are not restricted to the central region, but are spread throughout the system, including…

介观与纳米尺度物理 · 物理学 2015-06-03 H. Ness , L. K. Dash

We develop a non-equilibrium theory to describe weak Coulomb blockade effects in open quantum dots. Working within the bosonized description of electrons in the point contacts, we expose deficiencies in earlier applications of this method,…

介观与纳米尺度物理 · 物理学 2009-11-11 Piet W. Brouwer , Austen Lamacraft , Karsten Flensberg

We examine energy transport in an ensemble of closed quantum systems driven by stochastic perturbations. One can show that the probability and energy fluxes can be described in terms of quantum advection modes (QAM) associated with the…

介观与纳米尺度物理 · 物理学 2015-06-04 G. A. Levin , W. A. Jones , K. Walczak , K. L. Yerkes

Electronic transport properties of the disordered quantum wires are considered. The disorder is introduced via impurities (point scatterers), distributed uniformly over the two-dimensional strip, which represents a model quantum wire.…

介观与纳米尺度物理 · 物理学 2014-12-31 Robert Gębarowski

The non-equilibrium steady states emerging from stochastic resetting to a distribution is studied. We show that for a range of processes, the steady-state moments can be expressed as a linear combination of the moments of the distribution…

统计力学 · 物理学 2023-10-10 Kristian Stølevik Olsen

The quantum fluctuations of the entropy production for fermionic systems in the Landauer-Buttiker non-equilibrium steady state are investigated. The probability distribution, governing these fluctuations, is explicitly derived by means of…

统计力学 · 物理学 2017-11-22 Mihail Mintchev , Luca Santoni , Paul Sorba

The balance equations for thermodynamic quantities are derived from the nonlocal quantum kinetic equation. The nonlocal collisions lead to molecular contributions to the observables and currents. The corresponding correlated part of the…

统计力学 · 物理学 2018-06-19 Klaus Morawetz

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

统计力学 · 物理学 2009-10-31 Alexander Patashinski

We consider the influence of disorder on the non-equilibrium steady state of a minimal model for intracellular transport. In this model particles move unidirectionally according to the \emph{totally asymmetric exclusion process} (TASEP) and…

统计力学 · 物理学 2007-05-23 P. Pierobon , M. Mobilia , R. Kouyos , E. Frey

A representation of current is presented which can account for ideal conduction and distinguish superconductors, superfluids, ideal, and non-ideal conductors. The idea of the scheme is that different current operators and transport weights…

超导电性 · 物理学 2016-11-01 Balázs Hetényi

Heat transport in open quantum systems is particularly susceptible to the modeling of system-reservoir interactions. It thus requires to consistently treat the coupling between a quantum system and its environment. While perturbative…

统计力学 · 物理学 2017-06-07 Thomas Motz , Joachim Ankerhold , Jürgen T. Stockburger

We consider many-body quantum systems that exhibit quantum chaos, in the sense that the observables of interest act on energy eigenstates like banded random matrices. We study the time-dependent expectation values of these observables,…

统计力学 · 物理学 2009-10-31 Mark Srednicki

We study the stationary state of a chain of harmonic oscillators driven by two active reservoirs at the two ends. These reservoirs exert correlated stochastic forces on the boundary oscillators which eventually leads to a nonequilibrium…

统计力学 · 物理学 2023-01-19 Ritwick Sarkar , Ion Santra , Urna Basu