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The thermodynamic uncertainty relation (TUR) is a fundamental principle in non-equilibrium thermodynamics that relates entropy production to fluctuations in a system, establishing a trade-off between the precision of an observable and the…

量子物理 · 物理学 2025-08-07 Arghya Maity , Ahana Ghoshal

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

The theory of stochastic thermodynamics has revealed many useful fluctuation relations, with the thermodynamic uncertainty relation (TUR) being a theorem of major interest. When many nonequilibrium currents interact with each other, a naive…

统计力学 · 物理学 2024-10-16 Michalis Chatzittofi , Ramin Golestanian , Jaime Agudo-Canalejo

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

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

We provide a minimal strategy for the quantitative analysis of a large class of non-equilibrium systems in a {statistically} steady state using the short-time Thermodynamic Uncertainty Relation (TUR). From short-time trajectory data…

Recently, a thermodynamic uncertainty relation (TUR) has been formulated for classical Markovian systems demonstrating trade-off between precision (current fluctuation) and cost (dissipation). Systems that violate the TUR are interesting as…

介观与纳米尺度物理 · 物理学 2019-07-03 Junjie Liu , Dvira Segal

We extend a class of recently derived thermodynamic uncertainty relations to vector-valued observables. In contrast to the scalar-valued observables examined previously, this multidimensional thermodynamic uncertainty relation provides a…

统计力学 · 物理学 2019-10-22 Andreas Dechant

We investigate the thermodynamic uncertainty relation (TUR), \textit{i.e.} a trade-off between entropy production rate and relative power fluctuations, for nondegenerate three-level and degenerate four-level maser heat engines. In the…

量子物理 · 物理学 2022-12-19 Varinder Singh , Vahid Shaghaghi , Özgür E. Müstecaplıoğlu , Dario Rosa

A universal large $\mathcal{N}$ theory of nonequilibrium fluctuations emerges in the limit of fast jump rates and large occupancies. We use this theory to derive a set of coarse grained thermodynamic uncertainty relations (TUR) -- one of…

统计力学 · 物理学 2022-01-12 Ohad Shpielberg , Arnab Pal

We examine the so-called thermodynamic uncertainty relation (TUR), a cost-precision trade-off relationship in transport systems. Based on the fluctuation symmetry, we derive a condition on the validity of the TUR for general nonequilibrium…

介观与纳米尺度物理 · 物理学 2018-10-31 Bijay Kumar Agarwalla , Dvira Segal

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 expresses a universal trade-off between precision and entropy production, which applies in its original formulation to current observables in steady-state systems. We generalize this relation to…

统计力学 · 物理学 2018-12-06 Timur Koyuk , Udo Seifert , Patrick Pietzonka

Thermodynamic uncertainty relations (TURs) impose a universal trade-off between current precision and entropy production in autonomous steady states, constraining in particular the power, efficiency, and constancy of heat engines. We…

统计力学 · 物理学 2026-03-23 Enrique P. Cital , Viktor Holubec

Quantum conductors attached to metallic reservoirs have been demonstrated to overcome the thermodynamic uncertainty relation (TUR), a trade-off relation between the amount of dissipation and the absence of charge and heat current…

介观与纳米尺度物理 · 物理学 2025-11-06 David Christian Ohnmacht , Juan Carlos Cuevas , Wolfgang Belzig , Rosa López , Jong Soo Lim , Kun Woo Kim

A new Thermodynamic Uncertainty Relation (TUR) is derived for systems described by linearly coupled Langevin equations in the presence of non-linear frictional forces. In our scheme, the main variable represents the velocity of a particle,…

统计力学 · 物理学 2024-05-09 A. Plati , A. Puglisi , A. Sarracino

We use the fundamental nonequilibrium steady-state fluctuation symmetry and derive a condition on the validity of the thermodynamic uncertainty relation (TUR) in thermal transport problems, classical or quantum alike. We test this condition…

介观与纳米尺度物理 · 物理学 2019-10-09 Sushant Saryal , Hava Friedman , Dvira Segal , Bijay Kumar Agarwalla

We consider a Brownian particle in harmonic confinement of stiffness $k$, in one dimension in the underdamped regime. The whole setup is immersed in a heat bath at temperature $T$. The center of harmonic trap is dragged under any arbitrary…

统计力学 · 物理学 2020-03-18 Deepak Gupta , Amos Maritan

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 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…