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Thermodynamic Uncertainty Relations (TURs) set universal bounds linking current fluctuations to entropy production in nonequilibrium steady states. Their multidimensional generalization (MTUR) introduces matrix inequalities connecting…

介观与纳米尺度物理 · 物理学 2026-05-07 Sergi Vidal , Alba Mayor-Fernandez , Rosa Lopez

For classical ballistic transport in a multi-terminal geometry, we derive a universal trade-off relation between total dissipation and the precision, at which particles are extracted from individual reservoirs. Remarkably, this bound…

统计力学 · 物理学 2018-03-06 Kay Brandner , Taro Hanazato , Keiji Saito

We determine the zero-frequency charge current noise in a metal-molecule-metal junction embedded in a thermal environment, e.g., a solvent, dominated by sequential charge transmission described by a classical master equation, and study its…

化学物理 · 物理学 2022-11-02 Henning Kirchberg , Abraham Nitzan

Thermodynamic Uncertainty Relations express a trade-off between precision, defined as the noise-to-signal ratio of a generic current, and the amount of associated entropy production. These results have deep consequences for autonomous heat…

Recently, it has been shown that there is a trade-off relation between thermodynamic cost and current fluctuations, referred to as the thermodynamic uncertainty relation (TUR). The TUR has been derived for various processes, such as…

统计力学 · 物理学 2020-01-01 Jae Sung Lee , Jong-Min Park , Hyunggyu Park

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

Thermodynamic uncertainty relations (TURs) represent one of the few broad-based and fundamental relations in our toolbox for tackling the thermodynamics of nonequilibrium systems. One form of TUR quantifies the minimal energetic cost of…

统计力学 · 物理学 2022-07-26 Daniel Reiche , Jen-Tsung Hsiang , Bei-Lok Hu

Stability and efficiency are mutually exclusive in a thermodynamic process, e.g. in a thermal machine. Any effort to reduce the fluctuations of a certain output quantity is necessarily accompanied by an increase of entropy production,…

介观与纳米尺度物理 · 物理学 2026-05-14 Franco Mayo , Nahual Sobrino , Rosario Fazio , Fabio Taddei , Michele Governale

Thermodynamic uncertainty relations (TURs) place strict bounds on the fluctuations of thermodynamic quantities in terms of the associated entropy production. In this work we identify the tightest (and saturable) matrix-valued TUR that can…

量子物理 · 物理学 2019-10-07 André M. Timpanaro , Giacomo Guarnieri , John Goold , Gabriel T. Landi

The thermodynamic uncertainty relation (TUR) provides a universal entropic bound for the precision of the fluctuation of the charge transfer for example for a class of continuous time stochastic processes. However, its extension to general…

统计力学 · 物理学 2022-04-20 Takaaki Monnai

We investigate bias-driven non-equilibrium quantum phase transitions in a paradigmatic quantum-transport setup: an interacting quantum dot coupled to non-interacting metallic leads. Using the Random Phase Approximation, which is exact in…

强关联电子 · 物理学 2026-01-29 José F. B. Afonso , Stefan Kirchner , Pedro Ribeiro

From a recent geometric generalization of Thermodynamic Uncertainty Relations (TURs) we derive novel upper bounds on the nonlinear response of an observable of an arbitrary system undergoing a change of probabilistic state. Various…

统计力学 · 物理学 2022-03-09 Gianmaria Falasco , Massimiliano Esposito , Jean-Charles Delvenne

Thermodynamic uncertainty relations (TURs) bound the precision of currents by entropy production, but quantum transport of noncommuting (non-Abelian) charges challenges standard formulations because different charge components cannot be…

量子物理 · 物理学 2026-01-01 Domingos S. P. Salazar

Thermodynamic uncertainty relations (TURs) and kinetic uncertainty relations (KURs) provide tradeoff relations between measurement precision and thermodynamic cost such as entropy production and activity. Conventionally, these relations are…

统计力学 · 物理学 2024-12-16 Euijoon Kwon , Jae Sung Lee

In classical Markov jump processes, current fluctuations can only be reduced at the cost of increased dissipation. To explore how quantum effects influence this trade-off, we analyze the uncertainty of steady-state currents in Markovian…

统计力学 · 物理学 2021-07-09 Paul Menczel , Eetu Loisa , Kay Brandner , Christian Flindt

The thermodynamic uncertainty relation (TUR) describes a trade-off relation between nonequilibrium currents and entropy production and serves as a fundamental principle of nonequilibrium thermodynamics. However, currently known TURs…

统计力学 · 物理学 2020-09-30 Kangqiao Liu , Zongping Gong , Masahito Ueda

In this review article, we present a non-equilibrium quantum transport theory for transient electron dynamics in nanodevices based on exact master equation derived with the path integral method in the fermion coherent-state representation.…

介观与纳米尺度物理 · 物理学 2016-11-15 Pei-Yun Yang , Wei-Min Zhang

We derive detailed and intergral fluctuation relations as well as a Thermodynamic Uncertainty Relation constraining the exchange statistics of an arbitrary number of non-commuting conserved quantities among two quantum systems in transport…

量子物理 · 物理学 2026-04-23 Matteo Scandi , Gonzalo Manzano

Thermoelectric transport is traditionally analyzed using relations imposed by time-reversal symmetry, ranging from Onsager's results to fluctuation relations in counting statistics. In this paper, we show that a recently discovered duality…

介观与纳米尺度物理 · 物理学 2017-12-07 Jens Schulenborg , Angelo Di Marco , Joren Vanherck , Maarten R. Wegewijs , Janine Splettstoesser

We study the tunneling transport through a nanojunction in the far-from-equilibrium regime at relatively low temperatures. We show that the current-voltage characteristics is significantly modified as compared to the usual quasi-equilibrium…

介观与纳米尺度物理 · 物理学 2012-04-25 A. Glatz , N. M. Chtchelkatchev , I. S. Beloborodov