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The optimal protocols for the irreversible work achieve their maximum usefulness if their work fluctuations are the smallest ones. In this work, for classical and isothermal processes subjected to finite-time and weak drivings, I show that…

Statistical Mechanics · Physics 2023-11-14 Pierre Nazé

Power and efficiency are fundamental criteria for evaluating the performance of thermodynamic cycles. However, it is generally impossible to maximize both simultaneously. In particular, achieving maximum efficiency inevitably leads to…

Statistical Mechanics · Physics 2026-01-28 R. X. Zhai , Xin Yue , C. P. Sun

Reducing work fluctuation and dissipation in heat engines or, more generally, information heat engines that perform feedback control is vital to maximize their efficiency. The same problem arises when we attempt to maximize the efficiency…

Statistical Mechanics · Physics 2016-01-06 Ken Funo , Masahito Ueda

We study the ratio between the variances of work output and heat input, $\eta^{(2)}$, for a class of four-stroke heat engines which covers various typical cycles. Recent studies on the upper and lower bounds of $\eta^{(2)}$ are based on the…

Statistical Mechanics · Physics 2022-12-01 Guo-Hua Xu , Chao Jiang , Yuki Minami , Gentaro Watanabe

For a generic class of machines with broken time-reversal symmetry we show that in the linear response regime the relative fluctuation of the sum of output currents for time-forward and time-reversed processes is always lower bounded by the…

Statistical Mechanics · Physics 2021-10-12 Sushant Saryal , Sandipan Mohanta , Bijay Kumar Agarwalla

Two recent topics on a formal thermodynamic analogy of intracellular diffusivity fluctuations observed experimentally in normal/anomalous diffusion are reported. Not only the analogs of the quantity of heat and work as well as the internal…

Statistical Mechanics · Physics 2026-04-22 Yuichi Itto

The growing amount of fluctuating renewable infeeds and market liberalization increases uncertainty in power system operation. To capture the influence of fluctuations in operational planning, we model the forecast errors of the uncertain…

Optimization and Control · Mathematics 2015-08-26 Line Roald , Frauke Oldewurtel , Bart Van Parys , Göran Andersson

We quantify the prior information to infer the optimal characteristics for a constrained thermodynamic process of maximum work extraction for a pair of non-identical finite systems. The total entropy of the whole system remains conserved.…

Statistical Mechanics · Physics 2016-01-20 Preety Aneja , Harsh Katyayan , Ramandeep S. Johal

We investigate the efficiency of an isothermal Brownian work-to-work converter engine, composed of a Brownian particle coupled to a heat bath at a constant temperature. The system is maintained out of equilibrium by using two external…

Statistical Mechanics · Physics 2021-03-25 Deepak Gupta , Sanjib Sabhapandit

We experimentally demonstrate that highly structured distributions of work emerge during even the simple task of erasing a single bit. These are signatures of a refined suite of time-reversal symmetries in distinct functional classes of…

We introduce heat engines working in the nano-regime that allow to extract a finite amount of deterministic work. We show that the efficiency of these cycles is strictly smaller than Carnot's, and we associate this difference with a…

Quantum Physics · Physics 2024-06-11 Federico Cerisola , Facundo Sapienza , Augusto Roncaglia

We investigate a stochastic heat engine based on an over-damped particle diffusing on the positive real axis in an externally driven time-periodic log-harmonic potential. The periodic driving is composed of two isothermal and two adiabatic…

Statistical Mechanics · Physics 2014-05-28 Viktor Holubec

We study temperature fluctuations in mesoscopic $N$-body systems undergoing non-equilibrium processes from the perspective of stochastic thermodynamics. By introducing a stochastic differential equation, we describe the evolution of the…

Statistical Mechanics · Physics 2026-05-19 Zhaoyu Fei , Yu-Han Ma

The efficiency of microscopic heat engines in a thermally heterogenous environment is considered. We show that, as a consequence of the recently discovered entropic anomaly, quasi-static engines, whose efficiency is maximal in a fluid at…

Statistical Mechanics · Physics 2015-06-12 Stefano Bo , Antonio Celani

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

Statistical Mechanics · Physics 2015-06-05 Udo Seifert

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…

Statistical Mechanics · Physics 2026-04-09 Ousi Pan , Zhiqiang Fan , Shunjie Zhang , Liwei Chen , Jincan Chen , Shanhe Su

Molecular motors are known to have the high efficiency of energy transformation in the presence of thermal fluctuation. Motivated by the surprising fact, recent studies of thermal ratchet models are showing how and when work should be…

Soft Condensed Matter · Physics 2009-10-31 Hideki Kamegawa , Tsuyoshi Hondou , Fumiko Takagi

Active matter generates order or patterns through nonequilibrium dynamics. An open research challenge is to determine how efficiently a nonequilibrium self-organising system can convert consumed energy into macroscopic order. We study an…

Adaptation and Self-Organizing Systems · Physics 2026-05-07 Qianyang Chen , Mikhail Prokopenko

The recently established connection between stochastic thermodynamics and fluctuating hydrodynamics is applied to a study of efficiencies in the coupled transport of heat and matter on a small scale. A stochastic model for a mesoscopic cell…

Statistical Mechanics · Physics 2019-04-01 Jean-François Derivaux , Yannick De Decker

Microscopic biological systems operate far from equilibrium, are subject to strong fluctuations, and are composed of many coupled components with interactions varying in nature and strength. Researchers are actively investigating the…

Statistical Mechanics · Physics 2023-12-25 Emma Lathouwers , David A. Sivak