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The fluctuation relations have received considerable attention since their emergence and development in the 1990s. We present a summary of the main results and suggest ways to interpret this material. Starting with a consideration of the…

统计力学 · 物理学 2012-02-01 Richard E. Spinney , Ian J. Ford

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 (TURs) provide fundamental constraints on the interplay between power fluctuations, entropy production, and efficiency in overdamped stationary autonomous heat engines. However, their validity in…

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

Entropy production characterizes irreversibility. This viewpoint allows us to consider the thermodynamic uncertainty relation, which states that a higher precision can be achieved at the cost of higher entropy production, as a relation…

统计力学 · 物理学 2021-12-09 Yoshihiko Hasegawa

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 second law of thermodynamics states that entropy production cannot be negative. Recent developments concerning uncertainty relations in stochastic thermodynamics, such as thermodynamic uncertainty relations and speed limits, have…

统计力学 · 物理学 2023-10-09 Tomohiro Nishiyama , Yoshihiko Hasegawa

The thermodynamic uncertainty relation is an inequality stating that it is impossible to attain higher precision than the bound defined by entropy production. In statistical inference theory, information inequalities assert that it is…

统计力学 · 物理学 2019-06-26 Yoshihiko Hasegawa , Tan Van Vu

Thermodynamic uncertainty relations quantifying a trade-off between current fluctuation and entropy production have been found in various stochastic systems. Herein, we study the thermodynamic uncertainty relations for Langevin systems…

统计力学 · 物理学 2020-01-22 Tan Van Vu , Yoshihiko Hasegawa

Fluctuations in stochastic systems are usually characterized by the full counting statistics, which analyzes the distribution of the number of events taking place in the fixed time interval. In an alternative approach, the distribution of…

统计力学 · 物理学 2018-01-24 Krzysztof Ptaszynski

First-passage properties are central to the kinetics of target-search processes. Theoretical approaches so far primarily focused on predicting first-passage statistics for a given process or model. In practice, however, one faces the…

统计力学 · 物理学 2025-01-08 Rick Bebon , Aljaz Godec

We examine a biomolecular machine involving a driven, observable process coupled to a hidden process in a kinetically cooperative manner. A stochastic thermodynamics framework is employed to analyze a fluctuation theorem for the…

统计力学 · 物理学 2025-11-14 D. Evan Piephoff , Jianshu Cao

We introduce a model for a periodically driven electron pump that sequentially interact with an arbitrary number of heat and particle reservoirs. Exact expressions for the thermodynamic fluxes, such as entropy production and particle flows…

统计力学 · 物理学 2021-09-03 Pedro E. Harunari , Carlos E. Fiore , Karel Proesmans

A trade-off between the precision of an arbitrary current and the dissipation, known as the thermodynamic uncertainty relation, has been investigated for various Markovian systems. Here, we study the thermodynamic uncertainty relation for…

统计力学 · 物理学 2019-09-23 Tan Van Vu , Yoshihiko Hasegawa

The putative generalization of the thermodynamic uncertainty relation (TUR) to underdamped dynamics is still an open problem. So far, bounds that have been derived for such a dynamics are not particularly transparent and they do not…

统计力学 · 物理学 2020-07-15 Lukas P. Fischer , Hyun-Myung Chun , Udo Seifert

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

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

We derive universal thermodynamic inequalities that bound from below the moments of first-passage times of stochastic currents in nonequilibrium stationary states of Markov jump processes in the limit where the thresholds that define the…

统计力学 · 物理学 2025-02-03 Izaak Neri

An analogy is drawn between version of non-equilibrium thermodynamics a distribution-based containing an additional thermodynamic first-passage time parameter, nonequilibrium statistical operator method and extended irreversible…

统计力学 · 物理学 2024-07-30 V. V. Ryazanov

We derive bounds to the thermodynamic uncertainty relations in the linear-response regime for steady-state transport in two-terminal systems when time reversal symmetry is broken. We find that such bounds are different for charge and heat…

介观与纳米尺度物理 · 物理学 2023-09-26 Fabio Taddei , Rosario Fazio

We derive a quantum extension of the thermodynamic uncertainty relation where dynamical fluctuations are quantified by the Terletsky-Margenau-Hill quasiprobability, a quantum generalization of the classical joint probability. The obtained…

量子物理 · 物理学 2026-03-31 Kohei Yoshimura , Ryusuke Hamazaki