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The thermodynamic uncertainty relation is a prominent result in stochastic thermodynamics that provides a bound on the fluctuations of any thermodynamic flux, also known as current, in terms of the average rate of entropy production. Such…

统计力学 · 物理学 2021-12-22 Taylor Wampler , Andre C Barato

We conjecture that the current fluctuations in one-dimensional driven transport systems obey an upper bound determined by the mean current and the driving force. This inequality originates from repulsive interactions between transporting…

统计力学 · 物理学 2025-10-13 Jiayin Gu , Fan Zhang

We study the fluctuations of generic currents in multi-terminal, multi-channel quantum transport settings. In the quantum regime, these fluctuations and the resulting precision differ strongly depending on whether the device is of fermionic…

介观与纳米尺度物理 · 物理学 2025-04-08 Didrik Palmqvist , Ludovico Tesser , Janine Splettstoesser

Small nonequilibrium systems in contact with a heat bath can be analyzed with the framework of stochastic thermodynamics. In such systems, fluctuations, which are not negligible, follow universal relations such as the fluctuation theorem.…

统计力学 · 物理学 2018-10-29 Andre C Barato , Raphael Chetrite , Alessandra Faggionato , Davide Gabrielli

Current is a characteristic feature of nonequilibrium systems. In stochastic systems, these currents exhibit fluctuations constrained by the rate of dissipation in accordance with the recently discovered thermodynamic uncertainty relation.…

统计力学 · 物理学 2017-10-30 Todd R. Gingrich , Jordan M. Horowitz

We provide a proof of a recently conjectured universal bound on current fluctuations in Markovian processes. This bound establishes a link between the fluctuations of an individual observable current, the cycle affinities driving the system…

统计力学 · 物理学 2016-07-26 Patrick Pietzonka , Andre C. Barato , Udo Seifert

We derive a universal bound on generalized currents in Langevin systems in terms of the mean-square fluctuations of the current and the total entropy production. This bound generalizes a relation previously found by Barato et al. to…

统计力学 · 物理学 2018-06-29 Andreas Dechant , Shin-ichi Sasa

We derive a universal bound on the large-deviation functions of particle currents in coherent conductors. This bound depends only on the mean value of the relevant current and the total rate of entropy production required to maintain a…

统计力学 · 物理学 2025-10-24 Kay Brandner , Keiji Saito

For current fluctuations in non-equilibrium steady states of Markovian processes, we derive four different universal bounds valid beyond the Gaussian regime. Different variants of these bounds apply to either the entropy change or any…

统计力学 · 物理学 2016-05-31 Patrick Pietzonka , Andre C. Barato , Udo Seifert

Measurements of any property of a microscopic system are bound to show significant deviations from the average, due to thermal fluctuations. For time-integrated currents such as heat, work or entropy production in a steady state, it is in…

The very notion of a current fluctuation is problematic in the quantum context. We study that problem in the context of nonequilibrium statistical mechanics, both in a microscopic setup and in a Markovian model. Our answer is based on a…

统计力学 · 物理学 2015-05-14 Jan Derezinski , Wojciech De Roeck , Christian Maes

We study the statistical properties of currents in two particular systems of capacitively coupled parallel transport channels. In the first system, each transport channel contains a single quantum dot in contact with two electron…

介观与纳米尺度物理 · 物理学 2013-10-03 Gregory Bulnes Cuetara

Understanding current fluctuations is of fundamental importance and paves the way for the development of practical applications. According to the thermodynamic and kinetic uncertainty relations, the precision of currents can be constrained…

统计力学 · 物理学 2022-10-06 Van Tuan Vo , Tan Van Vu , Yoshihiko Hasegawa

Recent large deviation results have provided general lower bounds for the fluctuations of time-integrated currents in the steady state of stochastic systems. A corollary are so-called thermodynamic uncertainty relations connecting precision…

统计力学 · 物理学 2017-03-29 Juan P. Garrahan

We analyze the precision of currents in a generic multi-terminal quantum-transport setting. Employing scattering theory, we show that the precision of the currents is limited by a function of the particle-current noise that can be…

介观与纳米尺度物理 · 物理学 2025-07-14 Didrik Palmqvist , Ludovico Tesser , Janine Splettstoesser

We perform network analysis of a system described by the master equation to estimate the lower bound of the steady-state current noise, starting from the level 2.5 large deviation function and using the graph theory approach. When the…

统计力学 · 物理学 2024-10-03 Yasuhiro Utsumi

We investigate current fluctuations in open quantum systems beyond the weak-coupling and Markovian regimes, focusing on a coherently driven qubit strongly coupled to a structured bosonic environment. By combining full counting statistics…

Most systems, when pushed out of equilibrium, respond by building up currents of locally-conserved observables. Understanding how microscopic dynamics determines the averages and fluctuations of these currents is one of the main open…

统计力学 · 物理学 2010-09-08 Pablo I. Hurtado , Pedro L. Garrido

Continuously measured quantum systems are characterized by an output current, in the form of a stochastic and correlated time series which conveys crucial information about the underlying quantum system. The many tools used to describe…

量子物理 · 物理学 2025-12-19 Gabriel T. Landi , Michael J. Kewming , Mark T. Mitchison , Patrick P. Potts

For diffusive systems that can be described by fluctuating hydrodynamics and by the Macroscopic Fluctuation Theory of Bertini et al., the total current fluctuations display universal features when the system is closed and in equilibrium.…

统计力学 · 物理学 2011-11-29 Vivien Lecomte , Alberto Imparato , Frédéric Van Wijland
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