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The past twenty years have seen a resurgence of interest in nonequilibrium thermodynamics, thanks to advances in the theory of stochastic processes and in their thermodynamic interpretation. Fluctuation theorems provide fundamental…

统计力学 · 物理学 2017-11-16 Robert Marsland , Jeremy England

A deeper understanding of the differences between quantum and classical dynamics promises great potential for emerging technologies. Nevertheless, some aspects remain poorly understood, particularly concerning the role of quantum coherence…

介观与纳米尺度物理 · 物理学 2023-06-09 Kacper Prech , Philip Johansson , Elias Nyholm , Gabriel T. Landi , Claudio Verdozzi , Peter Samuelsson , Patrick P. Potts

A general nonequilibrium thermodynamic theory is developed for time-dependent Langevin dynamics, starting from the common definition of nonequilibrium Gibbs entropy. It is shown that the notations appearing in the First and the Second Law…

统计力学 · 物理学 2009-04-15 Hao Ge

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

Thermodynamic tradeoff relations quantify the fundamental concept of ``no free lunch'' in the physical world, suggesting that faster and more precise physical processes come at a higher thermodynamic cost. The key elements in these tradeoff…

统计力学 · 物理学 2024-12-11 Yoshihiko Hasegawa , Tomohiro Nishiyama

The precision of currents in Markov networks is bounded by dissipation via the so-called thermodynamic uncertainty relation (TUR). In our work, we demonstrate a similar inequality that bounds the precision of the static current response to…

统计力学 · 物理学 2024-11-26 Krzysztof Ptaszynski , Timur Aslyamov , Massimiliano Esposito

We present a new approach to response around arbitrary out-of-equilibrium states in the form of a fluctuation-response inequality (FRI). We study the response of an observable to a perturbation of the underlying stochastic dynamics. We find…

统计力学 · 物理学 2019-10-22 Andreas Dechant , Shin-ichi Sasa

Thermodynamic uncertainty relations (TURs) relate precision to the dissipation rate, yet the inequalities can be far from saturation. Indeed, in catenane molecular motor simulations, we record precision far below the TUR limit. We further…

统计力学 · 物理学 2026-01-14 Alex Albaugh , Rueih-Sheng Fu , Geyao Gu , Todd R. Gingrich

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

Using Brownian motion in periodic potentials $V(x)$ tilted by a force $f$, we provide physical insight into the thermodynamic uncertainty relation, a recently conjectured principle for statistical errors and irreversible heat dissipation in…

统计力学 · 物理学 2017-08-09 Changbong Hyeon , Wonseok Hwang

We study a model of isothermal steady-state work-to-work converter, where a single quantum two-level system (TLS) driven by time-dependent periodic external fields acts as the working medium and is permanently put in contact with a thermal…

Periodic driving is used to operate machines that go from standard macroscopic engines to small non-equilibrium micro-sized systems. Two classes of such systems are small heat engines driven by periodic temperature variations and molecular…

统计力学 · 物理学 2017-11-16 Somrita Ray , Andre C. Barato

Thermodynamic uncertainty relations elucidate the intricate balance between the precision of current and the thermodynamic costs or dissipation, marking a recent and enthralling advancement at the confluence of statistical mechanics,…

统计力学 · 物理学 2024-06-04 Ryohei Yuno , Katsuaki Tanabe

We consider heat transfer between two thermal reservoirs mediated by a quantum system using the generalized quantum Langevin equation. The thermal reservoirs are treated as ensembles of oscillators within the framework of the Drude-Ullersma…

介观与纳米尺度物理 · 物理学 2015-06-11 George Y. Panasyuk , George A. Levin , Kirk L. Yerkes

We present a general framework for determining the power-efficiency trade-off relations across arbitrary thermal machines, addressing the lack of unified optimization results stemming from their diverse functionalities (e.g., heat engines,…

统计力学 · 物理学 2025-11-20 Yu-Han Ma , Cong Fu

A framework for defining stochastic currents associated with diffusion processes on curved Riemannian manifolds is presented. This is achieved by introducing an overdamped Stratonovich-Langevin equation that remains fully covariant under…

统计力学 · 物理学 2024-07-23 Harry J. D. Miller

We analytically study the role of nonconservative forces, namely viscous couplings, on the statistical properties of the energy flux between two Brownian particles kept at different temperatures. From the dynamical model describing the…

统计力学 · 物理学 2016-12-01 Antoine Bérut , Alberto Imparato , Artyom Petrosyan , Sergio Ciliberto

The fluctuation-dissipation relation (FDR) links thermal fluctuations and dissipation at thermal equilibrium through temperature. Extending it beyond equilibrium conditions in pursuit of broadening thermodynamics is often feasible, albeit…

统计力学 · 物理学 2025-02-04 Dima Boriskovsky , Benjamin Lindner , Yael Roichman

Time-energy uncertainty relation (TEUR) plays a fundamental role in quantum mechanics, as it allows to grasp peculiar aspects of a variety of phenomena based on very general principles and symmetries of the theory. Using the Mandelstam-Tamm…

高能物理 - 理论 · 物理学 2023-11-10 Giuseppe Gaetano Luciano , Luca Smaldone

The paper studies the evolution of the thermomechanical and electric state of a thermoviscoelastic thermistor that is in frictional contact with a reactive foundation. The mechanical process is dynamic, while the electric process is…

数学物理 · 物理学 2019-01-28 Krzysztof Bartosz , Tomasz Janiczko , Paweł Szafraniec , Meir Shillor