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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

We derive a thermodynamic uncertainty relation (TUR) for systems with unidirectional transitions. The uncertainty relation involves a mixture of thermodynamic and dynamic terms. Namely, the entropy production from bidirectional transitions,…

统计力学 · 物理学 2021-03-30 Arnab Pal , Shlomi Reuveni , Saar Rahav

Thermodynamic uncertainty relations (TURs) are recently established relations between the relative uncertainty of time-integrated currents and entropy production in nonequilibrium systems. For small perturbations away from equilibrium,…

统计力学 · 物理学 2018-10-05 Katarzyna Macieszczak , Kay Brandner , Juan P. Garrahan

The precision and response of trajectory observables offer valuable insights into the behavior of nonequilibrium systems. For classical systems, trade-offs between these characteristics and thermodynamic costs, such as entropy production…

量子物理 · 物理学 2025-03-10 Tan Van Vu

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

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

We review the trade-offs between speed, fluctuations, and thermodynamic cost involved with biological processes in nonequilibrium states, and discuss how optimal these processes are in light of the universal bound set by the thermodynamic…

生物物理 · 物理学 2022-02-28 Yonghyun Song , Changbong Hyeon

A cost-precision trade-off relationship, the so-called thermodynamic uncertainty relation (TUR), has been recently discovered in stochastic thermodynamics. It bounds certain thermodynamic observables in terms of the associated entropy…

统计力学 · 物理学 2020-05-27 Soham Pal , Sushant Saryal , Dvira Segal , T. S. Mahesh , Bijay Kumar Agarwalla

Quantum thermodynamic uncertainty relations establish fundamental trade-offs between the precision achievable in quantum systems and associated thermodynamic quantities such as entropy production or dynamical activity. While foundational,…

量子物理 · 物理学 2025-09-23 Nobumasa Ishida , Yoshihiko Hasegawa

In the history of quantum mechanics, various types of uncertainty relationships have been introduced to accommodate different operational meanings of Heisenberg uncertainty principle. We derive an optimized entropic uncertainty relation…

量子物理 · 物理学 2014-03-11 Kyunghyun Baek , Tristan Farrow , Wonmin Son

Attaining the ultimate precision remains a central objective in the engineering of nanoscale systems and the investigation of nonequilibrium processes. While thermodynamic and kinetic uncertainty relations establish fundamental precision…

量子物理 · 物理学 2026-04-08 Hayato Yunoki , Yoshihiko Hasegawa

The thermodynamic uncertainty relation (TUR) for underdamped dynamics has intriguing problems while its counterpart for overdamped dynamics has recently been derived. Even for the case of steady states, a proper way to match underdamped and…

统计力学 · 物理学 2022-02-02 Chulan Kwon , Youngchae Kwon , Hyun Keun Lee

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

The exploration of far-from-equilibrium systems has been at the forefront of nonequilibrium thermodynamics, with a particular focus on understanding the fluctuations and response of thermodynamic systems to external perturbations. In this…

统计力学 · 物理学 2025-02-13 Kangqiao Liu , Jie Gu

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

Recently, some general relations have been studied in nonequilibrium mesoscopic systems. In particular, the thermodynamic uncertainty relation (TUR) provides a universal internal relation among the cumulants of currents and the entropy…

统计力学 · 物理学 2021-07-07 Takaaki Monnai

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

The Thermodynamic Uncertainty Relation (TUR) is a lower bound for the variance of a current as a function of the average entropy production and average current. Depending on the assumptions, one obtains different versions of the TUR. For…

统计力学 · 物理学 2023-01-04 Domingos S. P. Salazar

The thermodynamic uncertainty relation offers a universal energetic constraint on the relative magnitude of current fluctuations in nonequilibrium steady states. However, it has only been derived for long observation times. Here, we prove a…

统计力学 · 物理学 2017-08-30 Jordan M. Horowitz , Todd R. Gingrich

Thermodynamic uncertainty relations (TURs) are the inequalities which give lower bounds on the entropy production rate using only the mean and the variance of fluctuating currents. Since the TURs do not refer to the full details of the…

统计力学 · 物理学 2020-06-25 Shun Otsubo , Sosuke Ito , Andreas Dechant , Takahiro Sagawa