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We study the temporal approach to equilibrium of the Gibbs' and conditional entropies for both invertible deterministic dynamics as well as non-invertible stochastic systems in the presence of white noise. The conditional entropy will…

统计力学 · 物理学 2008-04-15 Michael C. Mackey , Marta Tyran-Kaminska

A novel model of transport is proposed to explain power law current transients and memory phenomena observed in partially ordered arrays of semiconducting nanocrystals. The model describes electron transport by a stationary Levy process of…

介观与纳米尺度物理 · 物理学 2007-05-23 D. S. Novikov , M. Drndic , L. S. Levitov , M. A. Kastner , M. V. Jarosz , M. G. Bawendi

Gauge invariance is a fundamental principle that must be preserved in quantum transport. However, when a complex potential is incorporated into the Hamiltonian, we find that the current described by the well-established…

介观与纳米尺度物理 · 物理学 2024-09-23 Miaomiao Wei , Bin Wang , Jian Wang

We have formulated the problem of electron transport through interacting quantum dot system in the framework of self-consistent perturbation theory, and show that the current conservation condition is guaranteed due to the gauge invariant…

介观与纳米尺度物理 · 物理学 2015-06-12 Guo-Hui Ding , Bing Dong

Energy transport can reveal information about interacting many-body systems beyond other transport probes. In particular, in one dimension it has been shown that the energy current is directly proportional to the central charge, thus…

强关联电子 · 物理学 2020-05-27 Sonja Fischer , Christoph Karrasch , Dirk Schuricht , Lars Fritz

A current can be induced in a closed device by changing control parameters. The amount $Q$ of particles that are transported via a path of motion, is characterized by its expectation value $<Q>$, and by its variance $Var(Q)$. We show that…

量子物理 · 物理学 2010-01-18 Maya Chuchem , Doron Cohen

Motivated by recent experimental findings, we study transport in a simple phenomenological model of a quantum Hall edge system with a gate-voltage controlled constriction lowering the local filling factor. The current backscattered from the…

介观与纳米尺度物理 · 物理学 2011-11-09 Siddhartha Lal

Understanding transport processes in complex nanoscale systems, like ionic conductivities in nanofluidic devices or heat conduction in low dimensional solids, poses the problem of examining fluctuations of currents within nonequilibrium…

介观与纳米尺度物理 · 物理学 2021-08-04 David T. Limmer , Chloe Y. Gao , Anthony R. Poggioli

Modern quantum experiments provide examples of transport with non-commuting quantities, offering a tool to understand the interplay between thermal and quantum effects. Here we set forth a theory for non-Abelian transport in the linear…

量子物理 · 物理学 2022-01-10 Gonzalo Manzano , Juan M. R. Parrondo , Gabriel T. Landi

We study topological transport in the steady state of a quantum particle hopping on a one-dimensional lattice in the presence of dissipation. The model exhibits a rich phase structure, with the average particle velocity in the steady state…

介观与纳米尺度物理 · 物理学 2019-03-27 Michael J. Kastoryano , Mark S. Rudner

We present an analysis of the availability and maximum extractable work of quantum batteries in the presence of charge and/or heat steady-state currents. Quantum batteries are modelled as non-interacting open quantum systems (mesoscopic…

量子物理 · 物理学 2024-10-31 F. H. Kamin , Z. Abuali , H. Ness , S. Salimi

Non-equilibrium physics is a particularly fascinating field of current research. Generically, driven systems are gradually heated up so that quantum effects die out. In contrast, we show that a driven central spin model including controlled…

量子物理 · 物理学 2020-03-18 Goetz S. Uhrig

The theory of time-dependent quantum transport addresses the question: How do electrons flow through a junction under the influence of an external perturbation as time goes by? In this paper, we invert this question and search for a…

介观与纳米尺度物理 · 物理学 2014-07-10 K. J. Pototzky , E. K. U. Gross

A system that violates detailed balance evolves asymptotically into a nonequilibrium steady state with non-vanishing currents. Analogously, when detailed balance holds at any instant of time but the system is driven through time-periodic…

统计力学 · 物理学 2018-09-26 Daniel M. Busiello , Christopher Jarzynski , Oren Raz

We consider a non-interacting one-dimensional gas accelerated by a constant and uniform external field. The energy absorbed from the field is transferred via elastic collisions to a bath of scattering obstacles. At gas-obstacle encounters…

统计力学 · 物理学 2009-11-11 Jaroslaw Piasecki , Rodrigo Soto

In spirit of the principle of least action, which means that when a perturbation is applied to a physical system its reaction is such that it modifies its state to "agree" with the perturbation by "minimal" change of its initial state. In…

等离子体物理 · 物理学 2015-07-29 Alexander Rokhlenko

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…

介观与纳米尺度物理 · 物理学 2013-01-16 David Sanchez , Rosa Lopez

The question of deriving general force/flux relationships that apply out of the linear response regime is a central topic of theories for nonequilibrium statistical mechanics. This work applies an information theory perspective to compute…

统计力学 · 物理学 2019-02-04 David M. Rogers

Using the recently discovered strong negative dependence properties of the symmetric exclusion process, we derive general conditions for when the normalized current of particles between regions converges to the Gaussian distribution. The…

概率论 · 数学 2010-09-27 Alexander Vandenberg-Rodes

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