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The rate of entropy production provides a useful quantitative measure of a non-equilibrium system and estimating it directly from time-series data from experiments is highly desirable. Several approaches have been considered for stationary…

统计力学 · 物理学 2022-02-21 Shun Otsubo , Sreekanth K Manikandan , Takahiro Sagawa , Supriya Krishnamurthy

We study the entropy production rate in systems described by linear Langevin equations, containing mixed even and odd variables under time reversal. Exact formulas are derived for several important quantities in terms only of the means and…

统计力学 · 物理学 2015-07-02 Gabriel T. Landi , Tânia Tomé , Mario J. de Oliveira

For a network of discrete states with a periodically driven Markovian dynamics, we develop an inference scheme for an external observer who has access to some transitions. Based on waiting-time distributions between these transitions, the…

统计力学 · 物理学 2024-09-12 Alexander M. Maier , Julius Degünther , Jann van der Meer , Udo Seifert

Estimating entropy production in continuous systems that can only be observed with a limited resolution remains an open problem in stochastic thermodynamics. Extant estimators based on the measurement of waiting-time distributions require…

统计力学 · 物理学 2026-03-06 Jonas H. Fritz , Udo Seifert

Observing stochastic trajectories with rare transitions between states, practically undetectable on time scales accessible to experiments, makes it impossible to directly quantify the entropy production and thus infer whether and how far…

统计力学 · 物理学 2025-12-15 Marco Baiesi , Tomohiro Nishiyama , Gianmaria Falasco

Entropy production (EP) is a key quantity in thermodynamics, and yet measuring EP has remained a challenging task. Here we introduce an EP estimator, called multidimensional entropic bound (MEB), utilizing an ensemble of trajectories…

统计力学 · 物理学 2024-09-06 Sangyun Lee , Dong-Kyum Kim , Jong-Min Park , Won Kyu Kim , Hyunggyu Park , Jae Sung Lee

Entropy production characterizes the thermodynamic irreversibility and reflects the amount of heat dissipated into the environment and free energy lost in nonequilibrium systems. According to the thermodynamic uncertainty relation, we…

统计力学 · 物理学 2020-05-01 Tan Van Vu , Van Tuan Vo , Yoshihiko Hasegawa

Estimating entropy production from real observation data can be difficult due to finite resolution in both space and time and finite measurement statistics. We characterize the statistical error introduced by finite sample size and compare…

统计力学 · 物理学 2025-04-09 Jonas H. Fritz , Benjamin Ertel , Udo Seifert

We study irreversible processes for nonlinear oscillators networks described by complex-valued Langevin equations that account for coupling to different thermo-chemical baths. Dissipation is introduced via non-Hermitian terms in the…

统计力学 · 物理学 2017-08-02 Simone Borlenghi , Stefano Iubini , Stefano Lepri , Jonas Fransson

Continuous feedback control of Langevin processes may be non-Markovian due to a time lag between the measurement and the control action. We show that this requires to modify the basic relation between dissipation and time-reversal and to…

统计力学 · 物理学 2015-06-18 T. Munakata , M. L. Rosinberg

For stochastic non-equilibrium dynamics like a Langevin equation for a colloidal particle or a master equation for discrete states, entropy production along a single trajectory is studied. It involves both genuine particle entropy and…

统计力学 · 物理学 2012-05-21 Udo Seifert

The entropy production rate is central to the study of non-equilibrium systems. This parameter is closely connected to violation of time-reversal symmetry, energy consumption, efficiency, and other properties of interest; in short, it…

统计力学 · 物理学 2026-05-28 John W. Biddle

Entropy production (EP) is a central quantity in nonequilibrium physics as it monitors energy dissipation, irreversibility, and free energy differences during thermodynamic transformations. Estimating EP, however, is challenging both…

统计力学 · 物理学 2024-06-26 Jinghao Lyu , Kyle J. Ray , James P. Crutchfield

A central task in stochastic thermodynamics is the estimation of entropy production for partially accessible Markov networks. We establish an effective transition-based description for such networks with transitions that are not…

统计力学 · 物理学 2024-05-20 Benjamin Ertel , Udo Seifert

The appealing theoretical measure of irreversibility in a stochastic process, as the ratio of the probabilities of a trajectory and its time reversal, cannot be accessed directly in experiment since the probability of a single trajectory is…

统计力学 · 物理学 2022-04-14 Julian Kappler , Ronojoy Adhikari

The problem of estimating entropy production from incomplete information in stochastic thermodynamics is essential for theory and experiments. Whereas a considerable amount of work has been done on this topic, arguably, most of it is…

统计力学 · 物理学 2024-12-17 Pedro E. Harunari , Carlos E. Fiore , Andre C. Barato

The inference of thermodynamic quantities from the description of an only partially accessible physical system is a central challenge in stochastic thermodynamics. A common approach is coarse-graining, which maps the dynamics of such a…

统计力学 · 物理学 2022-08-19 Jann van der Meer , Benjamin Ertel , Udo Seifert

We consider a protocol for the two-time measurement of entropic observables in quantum open systems driven out of thermal equilibrium by coupling to several heat baths. We concentrate on the Markovian approximation of the time-evolution and…

数学物理 · 物理学 2024-12-04 A. Joye , C. -A. Pillet

The stochastic entropy generated during the evolution of a system interacting with an environment may be separated into three components, but only two of these have a non-negative mean. The third component of entropy production is…

统计力学 · 物理学 2013-05-30 Ian J. Ford , Richard E. Spinney

When analyzing the equilibrium properties of a stochastic process, identifying the parity of the variables under time-reversal is imperative. This initial step is required to assess the presence of detailed balance, and to compute the…

统计力学 · 物理学 2025-04-09 Dario Lucente , Marco Baldovin , Massimiliano Viale , Angelo Vulpiani
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