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Fluctuation theorems are fundamental results in non-equilibrium thermodynamics. Considering the fluctuation theorem with respect to the entropy production and an observable, we derive a new thermodynamic uncertainty relation which also…

Statistical Mechanics · Physics 2022-02-02 Gianluca Francica

For cyclic heat engines operating in a finite cycle period, thermodynamic quantities have intercycle and intracycle correlations. By tuning the driving protocol appropriately, we can get the negative intercycle correlation to reduce the…

Statistical Mechanics · Physics 2022-08-05 Guo-Hua Xu , Gentaro Watanabe

Macroscopic thermodynamics, via the weak coupling approximation, assumes that the equi?librium properties of a system are not affected by interactions with its environment. However, this assumption may not hold for quantum systems, where…

Quantum Physics · Physics 2023-05-23 Z. Abuali , F. H. Kamin , R. J. S. Afonso , D. O. Soares-Pinto , S. Salimi

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

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…

Quantum Physics · Physics 2026-03-31 Kohei Yoshimura , Ryusuke Hamazaki

The performance of endoreversible thermal machines operating at finite power constitutes one of the main challenges of nonequilibrium classical and quantum thermodynamics, engineering and others. We introduce the idea of adjusting the…

Statistical Mechanics · Physics 2021-06-16 Pedro E. Harunari , Fernando S. Filho , Carlos E. Fiore , Alexandre Rosas

We study thermodynamic processes in contact with a heat bath that may have an arbitrary time-varying periodic temperature profile. Within the framework of stochastic thermodynamics, and for models of thermo-dynamic engines in the idealized…

Optimization and Control · Mathematics 2022-04-06 Olga Movilla Miangolarra , Rui Fu , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

We analytically derive universal bounds that describe the trade-off between thermodynamic cost and precision in a sequence of events related to some internal changes of an otherwise hidden physical system. The precision is quantified by the…

Statistical Mechanics · Physics 2024-06-18 Patrick Pietzonka , Francesco Coghi

Machine learning models have emerged as a very effective strategy to sidestep time-consuming electronic-structure calculations, enabling accurate simulations of greater size, time scale and complexity. Given the interpolative nature of…

Uncertainty relations in quantum mechanics express bounds on our ability to simultaneously obtain knowledge about expectation values of non-commuting observables of a quantum system. They quantify trade-offs in accuracy between…

Quantum Physics · Physics 2020-03-16 Ilya Kull , Philippe Allard Guérin , Frank Verstraete

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…

Statistical Mechanics · Physics 2024-12-11 Yoshihiko Hasegawa , Tomohiro Nishiyama

A novel geometric formalism for statistical estimation is applied here to the canonical distribution of classical statistical mechanics. In this scheme thermodynamic states, or equivalently, statistical mechanical states, can be…

Quantum Physics · Physics 2009-10-30 Dorje C. Brody , Lane P. Hughston

We study the non-equilibrium thermodynamics of a heat engine operating between two finite-sized reservoirs with well-defined temperatures. Within the linear response regime, it is found that the uniform temperature of the two reservoirs at…

Statistical Mechanics · Physics 2022-03-03 Hong Yuan , Yu-Han Ma , C. P. Sun

Phase fractions, compositions and energies of the stable phases as a function of macroscopic composition, temperature, and pressure (X-T-P) are the principle correlations needed for the design of new materials and improvement of existing…

Materials Science · Physics 2020-02-04 Noah H Paulson , Brandon J Bocklund , Richard A Otis , Zi-Kui Liu , Marius Stan

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

Understanding how coherence of quantum systems affects thermodynamic quantities, such as work and heat, is essential for harnessing quantumness effectively in thermal quantum technologies. Here, we study the unique contributions of quantum…

Quantum Physics · Physics 2025-02-07 Rui Huang , Q. Y. Cai , Farzam Nosrati , Rosario Lo Franco , Zhong-Xiao Man

Thermodynamic uncertainty relations (TURs) and kinetic uncertainty relations (KURs) provide tradeoff relations between measurement precision and thermodynamic cost such as entropy production and activity. Conventionally, these relations are…

Statistical Mechanics · Physics 2024-12-16 Euijoon Kwon , Jae Sung Lee

We propose a machine learning approach based on artificial neural network to gain faster insights on the role of geometric contributions to the nonequilibrium fluctuations of an adiabatically temperature-driven quantum heat engine coupled…

Quantum Physics · Physics 2019-02-06 Sajal Kumar Giri , Himangshu Prabal Goswami

Thermodynamic uncertainty relations (TURs) arise from the bounds on fluctuations of thermodynamics quantities during a non-equilibrium process and they impose constraints on the corresponding process. We experimentally implement a quantum…

Quantum Physics · Physics 2024-12-30 Krishna Shende , Arvind , Kavita Dorai

The nonequilibrium thermodynamics feature of a Brownian motor is investigated by obtaining exact time-dependent solutions. This in turn enables us to investigate not only the long time property (steady-state) but also the short time the…

Statistical Mechanics · Physics 2022-05-23 Mesfin Taye