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Entropy production (EP) is a central measure in nonequilibrium thermodynamics, as it can quantify the irreversibility of a process as well as its energy dissipation in special cases. Using the time-reversal asymmetry in a system's path…

统计力学 · 物理学 2022-04-26 Dong-Kyum Kim , Sangyun Lee , Hawoong Jeong

Entropy might be a not well defined concept if the system can undergo transformations involving stationary nonequilibria. It might be analogous to the heat content (once called ``caloric'') in transformations that are not isochoric (i.e.…

统计力学 · 物理学 2007-05-23 Giovanni Gallavotti

Many non-equilibrium, active processes are observed at a coarse-grained level, where different microscopic configurations are projected onto the same observable state. Such "lumped" observables display memory, and in many cases the…

统计力学 · 物理学 2024-04-29 Kristian Blom , Kevin Song , Etienne Vouga , Aljaž Godec , Dmitrii E. Makarov

We derive a functional for the entropy contributed by any microscopic degrees of freedom as arising from their measurable pair correlations. Applicable both in and out of equilibrium, this functional yields the maximum entropy which a…

统计力学 · 物理学 2023-02-17 Benjamin Sorkin , Joshua Ricouvier , Haim Diamant , Gil Ariel

The thermodynamic uncertainty relation originally proven for systems driven into a non-equilibrium steady state (NESS) allows one to infer the total entropy production rate by observing any current in the system. This kind of inference…

统计力学 · 物理学 2021-09-23 Timur Koyuk , Udo Seifert

Time-reversal symmetry breaking and entropy production are universal features of nonequilibrium phenomena. Despite its importance in the physics of active and living systems, the entropy production of systems with many degrees of freedom…

The fidelity-based smooth min-relative entropy is a distinguishability measure that has appeared in a variety of contexts in prior work on quantum information, including resource theories like thermodynamics and coherence. Here we provide a…

量子物理 · 物理学 2024-05-29 Theshani Nuradha , Mark M. Wilde

A quantum statistical expression for the entropy of a nonequilibrium system is defined so as to be consistent with Gibbs' relation, and is shown to corresponds to dynamical variable by introducing analogous to the Heisenberg picture in…

统计力学 · 物理学 2013-05-29 Hiroki Majima , Akira Suzuki

In view of the relation between information and thermodynamics we investigate how much information about an external protocol can be stored in the memory of a stochastic measurement device given an energy budget. We consider a layered…

定量方法 · 定量生物学 2015-07-28 Stefano Bo , Marco Del Giudice , Antonio Celani

We present a general formalism for the construction of thermodynamically consistent stochastic models of non-linear electronic circuits. The devices constituting the circuit can have arbitrary I-V curves and may include tunnel junctions,…

统计力学 · 物理学 2021-09-29 Nahuel Freitas , Jean-Charles Delvenne , Massimiliano Esposito

The clean world of digital information is based on noisy physical devices. Landauer's principle provides a deep connection between information processing and the underlying thermodynamics by setting a lower limit on the energy consumption…

In data-based control, dissipativity can be a powerful tool for attaining stability guarantees for nonlinear systems if that dissipativity can be inferred from data. This work provides a tutorial on several existing methods for data-based…

系统与控制 · 电气工程与系统科学 2024-11-21 Ethan LoCicero , Alex Penne , Leila Bridgeman

For a closed-loop control system with a digital channel between the sensor and the controller, the notion of invariance entropy quantifies the smallest average rate of information transmission above which a given compact subset of the state…

系统与控制 · 电气工程与系统科学 2020-04-13 Mahendra Singh Tomar , Christoph Kawan , Pushpak Jagtap , Majid Zamani

The stability of stationary solutions of first-order systems of PDE's are considered. They may include some singular geometric terms, leading to discontinuous flux and non-conservative products. Based on several examples in Fluid Mechanics,…

偏微分方程分析 · 数学 2017-09-15 Nicolas Seguin

Neural networks (NNs) can achieved high performance in various fields such as computer vision, and natural language processing. However, deploying NNs in resource-constrained safety-critical systems has challenges due to uncertainty in the…

机器学习 · 计算机科学 2024-01-17 Soyed Tuhin Ahmed

Fluctuation theorems impose constraints on the probability of observing negative entropy production in small systems driven out of equilibrium. The range of validity of fluctuation theorems has been extensively tested for transitions…

统计力学 · 物理学 2015-04-21 Léo Granger , Jumna Mehlis , Édgar Roldán , Sergio Ciliberto , Holger Kantz

The paper is concerned with a dissipativity theory and robust performance analysis of discrete-time stochastic systems driven by a statistically uncertain random noise. The uncertainty is quantified by the conditional relative entropy of…

系统与控制 · 计算机科学 2012-08-21 Igor G. Vladimirov , Ian R. Petersen

A non-vanishing entropy production rate is one of the defining characteristics of any non-equilibrium system, and several techniques exist to determine this quantity directly from experimental data. The short-time inference scheme, derived…

统计力学 · 物理学 2022-11-29 Biswajit Das , Sreekanth K Manikandan , Ayan Banerjee

We present a method of estimating the rate of entropy production in underdamped dynamics by decomposing it into contributions originating in different non-equilibrium effects. Specifically, a non-zero average velocity, a non-thermal width…

统计力学 · 物理学 2025-12-01 Mario A. Ciampini , Jakob Rieser , Nikolai Kiesel , Andreas Dechant

Entropy production plays an important role in the regulation and stability of active matter systems, and its rate quantifies the nonequilibrium nature of these systems. However, entropy production is hard to be experimentally estimated even…

统计力学 · 物理学 2024-10-23 Ruicheng Bao , Zhonghuai Hou