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The detailed fluctuation theorem (DFT) is a statement about the asymmetry in the statistics of the entropy production. Consequences of the DFT are the second law of thermodynamics and the thermodynamics uncertainty relation (TUR), which…

统计力学 · 物理学 2022-10-19 Domingos S. P. Salazar

Indirect measurement can be used to read out the outcome of a quantum system without resorting to a straightforward approach, and it is the foundation of the measurement uncertainty relations that explain the incompatibility of conjugate…

量子物理 · 物理学 2022-08-09 Ryo Mihashi , Yoshihiko Hasegawa

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…

统计力学 · 物理学 2022-02-02 Gianluca Francica

We outline the construction of a molecular system that could, in principle, implement a thermodynamically reversible Universal Turing Machine (UTM). By proposing a concrete-albeit idealised-design and operational protocol, we reveal…

统计力学 · 物理学 2021-02-09 Rory A. Brittain , Nick S. Jones , Thomas E. Ouldridge

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

For fluctuating currents in non-equilibrium steady states, the recently discovered thermodynamic uncertainty relation expresses a fundamental relation between their variance and the overall entropic cost associated with the driving. We show…

统计力学 · 物理学 2017-07-12 Patrick Pietzonka , Felix Ritort , Udo Seifert

The fluctuation theorem is the fundamental equality in nonequilibrium thermodynamics that is used to derive many important thermodynamic relations, such as the second law of thermodynamics and the Jarzynski equality. Recently, the…

统计力学 · 物理学 2019-09-16 Yoshihiko Hasegawa , Tan Van Vu

Fluctuations of thermodynamic quantities become non-negligible and play an important role when the system size is small. We develop finite-time thermodynamics of fluctuations in microscopic heat engines whose environmental temperature and…

统计力学 · 物理学 2022-02-16 Gentaro Watanabe , Yuki Minami

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

We investigate the thermodynamic uncertainty relation for the $(1+1)$ dimensional Kardar-Parisi-Zhang equation on a finite spatial interval. In particular, we extend the results for small coupling strengths obtained previously to large…

统计力学 · 物理学 2021-12-30 Oliver Niggemann , Udo Seifert

Although the laws of classical physics are deterministic, thermodynamics gives rise to an arrow of time through irreversible processes. In quantum mechanics the unitary nature of the time evolution makes it intrinsically reversible, however…

Accurately simulating coupled physical processes under uncertainty is essential for reliable modeling and design in performance-critical applications such as combustion systems. Ablative heat shield design, as a specific example of this…

计算物理 · 物理学 2025-10-07 Diba Behnoudfar , Kyle E. Niemeyer

Stochastic thermodynamics is the field of study relating fluctuations in stochastic systems to thermodynamic quantities. The total entropy production (EP), is central to the thermodynamic classification of systems. Non-equilibrium systems…

统计力学 · 物理学 2025-08-05 Lars Torbjørn Stutzer

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…

统计力学 · 物理学 2021-10-12 Sushant Saryal , Sandipan Mohanta , Bijay Kumar Agarwalla

The energy conversion efficiency of far-from-equilibrium systems is generally limited by irreversible thermodynamic fluxes that make contact with different heat baths. For complex systems, the states of the maximum efficiency and the…

量子物理 · 物理学 2019-04-09 Shanhe Su , Wei Shen , Jianying Du , Jincan Chen

When a system deviates from equilibrium, it is possible to manipulate and control it to drive it towards equilibrium within a finite time $t_f$, even reducing its natural relaxation time scale $\tau_{relax}$. Although numerous theoretical…

统计力学 · 物理学 2024-02-26 Diego Rengifo , Gabriel Téllez

Optimal (reversible) processes in thermodynamics can be modelled as step-by-step processes, where the system is successively thermalized with respect to different Hamiltonians by an external thermal bath. However, in practice interactions…

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…

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…

最优化与控制 · 数学 2022-04-06 Olga Movilla Miangolarra , Rui Fu , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

One of the key objectives in investigating small stochastic systems is the development of micrometer-sized engines and the understanding of their thermodynamics. However, the primary mathematical tool used for this purpose, the overdamped…

统计力学 · 物理学 2025-03-31 Shakul Awasthi , Hyunggyu Park , Jae Sung Lee