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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

For classic systems, the thermodynamic uncertainty relation (TUR) states that the fluctuations of a current have a lower bound in terms of the entropy production. Some TURs are rooted in information theory, particularly derived from…

量子物理 · 物理学 2023-09-27 Domingos S. P. Salazar

Thermodynamic uncertainty relations (TURs) express a fundamental tradeoff between the precision (inverse scaled variance) of any thermodynamic current by functionals of the average entropy production. Relying on purely variational…

统计力学 · 物理学 2022-11-28 Kyle J. Ray , Alexander B. Boyd , Giacomo Guarnieri , James P. Crutchfield

The kinetic uncertainty relation (KUR) is a trade-off relation between the precision of an observable and the mean dynamical activity in a fixed time interval for a time-homogeneous and continuous-time Markov chain. In this letter, we…

统计力学 · 物理学 2021-05-26 Ken Hiura , Shin-ichi Sasa

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

Nonequilibrium current fluctuations represent one of the central topics in nonequilibrium physics. The thermodynamic uncertainty relation (TUR) is widely acclaimed for rigorously establishing a lower bound on current fluctuations, expressed…

统计力学 · 物理学 2025-12-09 Van Tuan Vo , Andreas Dechant , Keiji Saito

The thermodynamics and kinetics of a nonequilibrium classical system fundamentally constrain the precision of an observable regarding the celebrated thermodynamic uncertainty relation (TUR) and the kinetic uncertainty relation (KUR). They…

量子物理 · 物理学 2025-01-10 Kangqiao Liu , Jie Gu

We derive a thermodynamic uncertainty relation (TUR) under quantum continuous measurement and feedback control. By incorporating the quantum-classical-transfer entropy, which quantifies the information gained by continuous measurement, we…

统计力学 · 物理学 2026-03-20 Kaito Tojo , Takahiro Sagawa , Ken Funo

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

Thermodynamic (TUR) and kinetic (KUR) uncertainty relations are fundamental bounds constraining the fluctuations of current observables in classical, non-equilibrium systems. Several works have verified, however, violations of these…

The thermodynamic uncertainty relations (TURs) provide lower bounds on the entropy production (EP) of a system in terms of the statistical precision of an arbitrary current in that system. All conventional TURs derived so far have concerned…

统计力学 · 物理学 2021-03-19 Gülce Kardeş , David H. Wolpert

Autonomous engines operating at the nano-scale can be prone to deleterious fluctuations in the heat and particle currents which increase, for fixed power output, the more reversible the operation regime is. This fundamental trade-off…

统计力学 · 物理学 2019-10-23 Giacomo Guarnieri , Gabriel T. Landi , Stephen R. Clark , John Goold

The precision of currents in Markov networks is bounded by dissipation via the so-called thermodynamic uncertainty relation (TUR). In our work, we demonstrate a similar inequality that bounds the precision of the static current response to…

统计力学 · 物理学 2024-11-26 Krzysztof Ptaszynski , Timur Aslyamov , Massimiliano Esposito

Thermodynamic uncertainty relations (TURs) are general lower bounds on the size of fluctutations of dynamical observables. They have important consequences, one being that the precision of estimation of a current is limited by the amount of…

统计力学 · 物理学 2022-10-12 George Bakewell-Smith , Federico Girotti , Mădălin Guţă , Juan P. Garrahan

The thermodynamic uncertainty relation (TUR) imposes a fundamental constraint between current fluctuations and entropy production, providing a refined formulation of the second law for micro- and nanoscale systems. Quantum violations of the…

量子物理 · 物理学 2026-01-28 Yang Li , Fu-Lin Zhang

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) are a set of inequalities expressing a fundamental trade-off between precision and dissipation in non-equilibrium classical and quantum thermodynamic processes. TURs show that achieving low…

量子物理 · 物理学 2025-03-07 Mario Motta , Antonio Mezzacapo , Giacomo Guarnieri

Thermodynamic Uncertainty Relations (TURs) are relations that establish lower bounds for the relative fluctuations of thermodynamic quantities in terms of the statistics of the associated entropy production. In this work we derive a family…

统计力学 · 物理学 2026-03-24 André M. Timpanaro

Thermodynamic uncertainty relations yield a lower bound on entropy production in terms of the mean and fluctuations of a current. We derive their general form for systems under arbitrary time-dependent driving from arbitrary initial states…

统计力学 · 物理学 2021-01-12 Timur Koyuk , Udo Seifert

We derive a universal thermodynamic uncertainty relation (TUR) that applies to an arbitrary observable in a general Markovian system. The generality of our result allows us to make two findings: (1) for an arbitrary out-of-equilibrium…

统计力学 · 物理学 2022-06-07 Liu Ziyin , Masahito Ueda
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