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We develop a new theoretical framework for describing steady-state quantum transport phenomena, based on the general maximum-entropy principle of non-equilibrium statistical mechanics. The general form of the many-body density matrix is…

介观与纳米尺度物理 · 物理学 2007-05-23 P. Bokes , R. W. Godby

We present an approach to steady-state mesoscopic transport based on the maximum entropy principle formulation of nonequilibrium statistical mechanics. This approach is valid in the nonlinear regime of high current, and yields the…

凝聚态物理 · 物理学 2009-10-22 M. D. Johnson , O. Heinonen

We present an approach to steady-state mesoscopic transport based on the maximum entropy principle formulation of nonequilibrium statistical mechanics. Our approach is not limited to the linear response regime. We show that this approach…

凝聚态物理 · 物理学 2009-10-22 O. Heinonen , M. D. Johnson

Filyokov and Karpov [Inzhenerno-Fizicheskii Zhurnal 13, 624 (1967)] have proposed a theory of non-equilibrium steady states in direct analogy with the theory of equilibrium states : the principle is to maximize the Shannon entropy…

统计力学 · 物理学 2011-03-07 Cecile Monthus

Thermal and other transport coefficients were recently shown to be largely independent of the microscopic representation of the energy (current) densities or, more generally, of the relevant conserved densities/currents. In this paper we…

计算物理 · 物理学 2020-04-08 Aris Marcolongo , Loris Ercole , Stefano Baroni

We calculate steady-state properties of a strongly correlated quantum dot under voltage bias by means of non-equilibrium Cluster Perturbation Theory and the non-equilibrium Variational Cluster Approach, respectively. Results for the…

We have derived a variational principle that defines the nonequilibrium steady-state transport across a correlated impurity mimicking, e.g., a quantum dot coupled to biased leads. This variational principle has been specialized to a…

强关联电子 · 物理学 2011-02-15 Nicola Lanatà

The fluid in global equilibrium must fulfill some constraints. These constraints can be derived from quantum statistical theory or kinetic theory. In this paper we will show that how these constraints can be applied to determine the…

高能物理 - 唯象学 · 物理学 2022-03-29 Shi-Zheng Yang , Jian-Hua Gao , Zuo-Tang Liang

We investigate the microscopic features of bosonic quantum transport in a non-equilibrium steady state, which breaks time reversal invariance spontaneously. The analysis is based on the probability distributions, generated by the…

统计力学 · 物理学 2022-04-19 Mihail Mintchev , Luca Santoni , Paul Sorba

Let an infinite, homogeneous, many-body quantum system be unitarily evolved for a long time from a state where two halves are independently thermalized. One says that a non-equilibrium steady state emerges if there are nonzero steady…

强关联电子 · 物理学 2015-07-28 Benjamin Doyon

Systems with long-range interactions display a short-time relaxation towards Quasi Stationary States (QSS) whose lifetime increases with the system size. In the paradigmatic Hamiltonian Mean-field Model (HMF) out-of-equilibrium phase…

统计力学 · 物理学 2016-02-15 Gabriele Martelloni , Gianluca Martelloni , Pierre de Buyl , Duccio Fanelli

In this work we elaborate on two recently discovered invariance principles, according to which transport coefficients are, to a large extent, independent of the microscopic definition of the densities and currents of the conserved…

统计力学 · 物理学 2021-07-20 Federico Grasselli , Stefano Baroni

We propose a general classification of nonequilibrium steady states in terms of their stationary probability distribution and the associated probability currents. The stationary probabilities can be represented graph-theoretically as…

统计力学 · 物理学 2009-11-11 R. K. P. Zia , B. Schmittmann

We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors. The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic…

With this work we investigate the stationary nonequilibrium density matrix of current carrying nonequilibrium steady states of in-between quantum systems that are connected to reservoirs. We describe the analytical procedure to obtain the…

统计力学 · 物理学 2015-05-28 Abhishek Dhar , Keiji Saito , Peter Hanggi

A theory of electron counting statistics in quantum transport is presented. It involves an idealized scheme of current measurement using a spin 1/2 coupled to the current so that it precesses at the rate proportional to the current. Within…

凝聚态物理 · 物理学 2008-04-12 L. S. Levitov , H. -W. Lee , G. B. Lesovik

We present a method for investigating the steady-state transport properties of one-dimensional correlated quantum systems. Using a procedure based on our analysis of finite-size effects in a related classical model (LC line) we show that…

强关联电子 · 物理学 2012-06-28 M. Einhellinger , A. Cojuhovschi , E. Jeckelmann

We investigate the dynamics of non-interacting particles in a one-dimensional tight-binding chain in the presence of an electric field with random amplitude drawn from a Gaussian distribution, and explicitly focus on the nature of quantum…

无序系统与神经网络 · 物理学 2025-02-11 Vatsana Tiwari , Sushanta Dattagupta , Devendra Singh Bhakuni , Auditya Sharma

There are two standard ways of classifying transport behavior of systems. The first is via time scaling of spread of correlations in the isolated system in thermodynamic limit. The second is via system size scaling of conductance in the…

统计力学 · 物理学 2019-07-22 Archak Purkayastha

We present a new approach to treat correlations in nonequilibrium quantum many-particle system. The method is based on ideas of configuration interaction theory of exact nonperturbative ground state electronic structure calculations. We use…

介观与纳米尺度物理 · 物理学 2014-05-20 Alan A. Dzhioev , D. S. Kosov
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