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We study bounds on ratios of fluctuations in steady-state time-reversal heat engines controlled by multi affinities. In the linear response regime, we prove that the relative fluctuations (precision) of the output current (power) is always…

统计力学 · 物理学 2021-11-17 Sushant Saryal , Matthew Gerry , Ilia Khait , Dvira Segal , Bijay Kumar Agarwalla

Small nonequilibrium systems in contact with a heat bath can be analyzed with the framework of stochastic thermodynamics. In such systems, fluctuations, which are not negligible, follow universal relations such as the fluctuation theorem.…

统计力学 · 物理学 2018-10-29 Andre C Barato , Raphael Chetrite , Alessandra Faggionato , Davide Gabrielli

We derive general trade-off relations among the power, efficiency, and constancy for two-terminal thermoelectric systems in the linear response regime. Constancy, which quantifies the steadiness of the heat engine, is measured by its…

统计力学 · 物理学 2026-04-09 Ousi Pan , Zhiqiang Fan , Shunjie Zhang , Liwei Chen , Jincan Chen , Shanhe Su

Using the fluctuation theorem supplemented with geometric arguments, we derive universal features of the (long-time) efficiency fluctuations for thermal and isothermal machines operating under steady or periodic driving, close or far from…

统计力学 · 物理学 2014-11-26 Gatien Verley , Tim Willaert , Christian Van den Broeck , Massimiliano Esposito

The thermodynamic uncertainty relation gives a lower bound on the amount of dissipation in a mesoscopic system. By considering the fluctuations in the hysteresis of the current -- the sum of the currents in the time-forward and…

统计力学 · 物理学 2019-09-04 Karel Proesmans , Jordan M. Horowitz

We derive a universal thermodynamic uncertainty relation for Fermionic coherent transport, which bounds the total rate of entropy production in terms of the mean and fluctuations of a single particle current. This bound holds for any…

统计力学 · 物理学 2025-07-29 Kay Brandner , Keiji Saito

The intuition that the precision of observables is constrained by thermodynamic costs has recently been formalized through thermodynamic and kinetic uncertainty relations. While such trade-offs have been extensively studied in Markovian…

量子物理 · 物理学 2026-05-13 Tan Van Vu , Ryotaro Honma , Keiji Saito

Thermodynamic uncertainty relations have emerged as universal bounds on current fluctuations in non-equilibrium systems. Here we derive a new bound for a particular class of run-and-tumble type processes using the mathematical framework of…

统计力学 · 物理学 2019-07-02 Mayank Shreshtha , Rosemary J. Harris

As a fundamental measure of stability in nonequilibrium thermodynamics, fluctuations provide critical insight into the performance and reliability of heat engines. In this work, we establish universal fluctuation-dissipation bounds that…

统计力学 · 物理学 2026-01-13 Ousi Pan , Zhiqiang Fan , Shunjie Zhang , Jie Li , Jincan Chen , Shanhe Su

We study universal aspects of fluctuations in an ensemble of noninteracting continuous quantum thermal machines in the steady state limit. Considering an individual machine, such as a refrigerator, in which relative fluctuations (and high…

统计力学 · 物理学 2022-03-02 Matthew Gerry , Na'im Kalantar , Dvira Segal

The efficiency of any heat engine, defined as the ratio of average work output to heat input, is bounded by Carnot's celebrated result. However, this measure is insufficient to characterize the properties of miniaturized heat engines…

We derive a universal bound on the large-deviation functions of particle currents in coherent conductors. This bound depends only on the mean value of the relevant current and the total rate of entropy production required to maintain a…

统计力学 · 物理学 2025-10-24 Kay Brandner , Keiji Saito

Giving a universal upper bound on the power output of heat engines is a long-standing open problem. We tackle this problem for generic quantum machines in self-contained formulation by carefully including the switching process of the…

量子物理 · 物理学 2018-01-03 Kosuke Ito , Takayuki Miyadera

For finite-time quantum Otto heat engine with working fluid consisting of either a (i) qubit or (ii) a harmonic oscillator, we show that the relative fluctuation of output work is always greater than the corresponding relative fluctuation…

统计力学 · 物理学 2021-06-30 Sushant Saryal , Bijay Kumar Agarwalla

A Brownian Motor is a nanoscale or molecular device that combines the effects of thermal noise, spatial or temporal asymmetry, and directionless input energy to drive directed motion. Because of the input energy, Brownian motors function…

统计力学 · 物理学 2009-11-13 R. Dean Astumian

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 steady-state autonomous absorption refrigerators operating in the linear response regime, we show that there exists a hierarchy between the relative fluctuation of currents for cold, hot, and work terminals. Our proof requires the…

统计力学 · 物理学 2022-04-06 Sandipan Mohanta , Sushant Saryal , Bijay Kumar Agarwalla

In nonequilibrium systems, the relative fluctuation of a current has a universal trade-off relation with the entropy production, called the thermodynamic uncertainty relation (TUR). For systems with broken time reversal symmetry, its…

统计力学 · 物理学 2021-10-04 Jong-Min Park , Hyunggyu Park

According to Thermodynamics, the efficiency of a heat engine is upper bounded by Carnot efficiency. For macroscopic systems, the Carnot efficiency is, however, achieved only for quasi static processes. And, considerable attention has been…

统计力学 · 物理学 2023-05-03 Takaaki Monnai

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
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