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Thermodynamic relations are derived from first principles of mechanics for non-equilibrium processes. Since the key role herein is played by the law of increase of entropy, the latter is analyzed at first. It is shown that its derivation…

chao-dyn · 物理学 2008-02-03 J. Kumicak , X. de Hemptinne

To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter - the lifetime of a system. The statistical distributions which can be obtained out of the mesoscopic description characterizing the behaviour of a…

统计力学 · 物理学 2007-05-23 V. V. Ryazanov , S. G. Shpyrko

Stochastic thermodynamics is formulated under the assumption of perfect knowledge of all thermodynamic parameters. However, in any real-world experiment, there is non-zero uncertainty about the precise value of temperatures, chemical…

统计力学 · 物理学 2024-01-11 Jan Korbel , David H. Wolpert

The resource-theoretic approach to quantum thermodynamics assumes complete knowledge of the thermal equilibrium against which thermodynamic resources are defined. In practice, however, this state is determined by the system Hamiltonian and…

量子物理 · 物理学 2026-04-16 Munan Zhang , Kun Fang

The second law of thermodynamics implies a relationship between the net entropy export by the Earth and its internal irreversible entropy production. The application of this constraint for the purpose of understanding Earth's climate is…

大气与海洋物理 · 物理学 2022-01-19 Martin S. Singh , Morgan E O'Neill

Recently, a thermodynamic definition of time has been introduced. This definition is useful to find approach some open problems in physics. But, it was obtained by a phenomenological approach and a logical inconsistency appears in the…

统计力学 · 物理学 2023-11-14 Umberto Lucia

We derive bounds to the thermodynamic uncertainty relations in the linear-response regime for steady-state transport in two-terminal systems when time reversal symmetry is broken. We find that such bounds are different for charge and heat…

介观与纳米尺度物理 · 物理学 2023-09-26 Fabio Taddei , Rosario Fazio

We propose an $f$-divergence extension of the Hasegawa-Nishiyama thermodynamic uncertainty relation. More precisely, we introduce the stochastic thermodynamic entropy production based on generalised $f$-divergences and derive corresponding…

统计力学 · 物理学 2025-04-17 Yi C. Huang , Xinhang Tong

The variational method is very important in mathematical and theoretical physics because it allows us to describe the natural systems by physical quantities independently from the frame of reference used. A global and statistical approach…

数学物理 · 物理学 2011-01-10 Umberto Lucia

The thermodynamic behavior of Markovian open quantum systems can be described at the level of fluctuations by using continuous monitoring approaches. However, practical applications require assessing imperfect detection schemes, where the…

The stochastic thermodynamics provides a framework for the description of systems that are out of thermodynamic equilibrium. It is based on the assumption that the elementary constituents are acted by random forces that generate a…

统计力学 · 物理学 2020-06-26 Mário J. de Oliveira

According to the second law of thermodynamics the total entropy of a system is increased during almost any dynamical process. The positivity of the specific heat implies that the entropy increase is associated with heating. This is…

统计力学 · 物理学 2015-06-11 Luca D'Alessio , Anatoli Polkovnikov

Thermodynamics is commonly presented as a theory of macroscopic systems in stable equilibrium, built upon assumptions of extensivity and scaling with system size. In this paper, we present a universal formulation of the elementary…

量子物理 · 物理学 2026-03-26 Gian Paolo Beretta

Several results of black holes thermodynamics can be considered as firmly founded and formulated in a very general manner. From this starting point we analyse in which way these results may give us the opportunity to gain a better…

广义相对论与量子宇宙学 · 物理学 2009-11-11 J. P. Badiali

The accurate determination of transport coefficients in numerical simulations is becoming increasingly important in a wide range of applications. Here we consider the linear response in systems driven away from thermal equilibrium into a…

统计力学 · 物理学 2016-08-24 Thomas Speck

Energy-time uncertainty plays an important role in quantum foundations and technologies, and it was even discussed by the founders of quantum mechanics. However, standard approaches (e.g., Robertson's uncertainty relation) do not apply to…

量子物理 · 物理学 2019-03-19 Patrick J. Coles , Vishal Katariya , Seth Lloyd , Iman Marvian , Mark M. Wilde

We generalize the link between fluctuation theorems and thermodynamic uncertainty relations by deriving a bound on the variance of fluxes that satisfy an isometric fluctuation theorem. The resulting bound, which depends on the system's…

统计力学 · 物理学 2020-02-11 Hadrien Vroylandt , Karel Proesmans , Todd R. Gingrich

The Heisenberg uncertainty relation, which links the uncertainties of the position and momentum of a particle, has an important footprint on the quantum behavior of a physical system. Analogous to this principle, we propose that…

量子物理 · 物理学 2026-02-18 Pratik Sathe , Luis Pedro García-Pintos , Francesco Caravelli

We derive a thermodynamic uncertainty relation (TUR) for first-passage times (FPTs) on continuous time Markov chains. The TUR utilizes the entropy production coming from bidirectional transitions, and the net flux coming from unidirectional…

统计力学 · 物理学 2021-08-11 Arnab Pal , Shlomi Reuveni , Saar Rahav

Thermodynamic uncertainty relation (TUR) provides a stricter bound for entropy production (EP) than that of the thermodynamic second law. This stricter bound can be utilized to infer the EP and derive other trade-off relations. Though the…

统计力学 · 物理学 2021-11-24 Jae Sung Lee , Jong-Min Park , Hyunggyu Park