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The quasipotential function allows for comprehension and prediction of the escape mechanisms from metastable states in nonlinear dynamical systems. This function acts as a natural extension of the potential function for non-gradient systems…

Dynamical Systems · Mathematics 2026-01-26 Bo Lin , Pierpaolo Belardinelli

We formulate a minimal model of a quantum particle detector as an autonomous quantum thermal machine. Our goal is to establish how entropy production, which is needed to maintain the detector out of equilibrium, is linked to the quality of…

In the context of state estimation under communication constraints, several notions of dynamical entropy play a fundamental role, among them: topological entropy and restoration entropy. In this paper, we present a theorem which…

Optimization and Control · Mathematics 2019-01-30 Christoph Kawan

In two preceding papers we have shown that, when reaction networks are well-removed from equilibrium, explicit asymptotic and quasi-steady-state approximations can give algebraically-stabilized integration schemes that rival standard…

Solar and Stellar Astrophysics · Physics 2016-08-01 M. W. Guidry , J. J. Billings , W. R. Hix

Entropy production is a fundamental concept in nonequilibrium thermodynamics, providing a direct measure of the irreversibility inherent in any physical process. In this work, we investigate in steady-state the enhancement of…

Quantum Physics · Physics 2025-12-16 Hamza Harraf , Mohamed Amazioug , Rachid Ahl Laamara

Information theory allows us to investigate information processing in neural systems in terms of information transfer, storage and modification. Especially the measure of information transfer, transfer entropy, has seen a dramatic surge of…

Information Theory · Computer Science 2015-11-24 Patricia Wollstadt , Mario Martínez-Zarzuela , Raul Vicente , Francisco J. Díaz-Pernas , Michael Wibral

The exponential stability, in both mean square and almost sure senses, for energy solutions to a class of nonlinear and non-autonomous stochastic PDEs with finite memory is investigated. Various criteria for stability are obtained. An…

Dynamical Systems · Mathematics 2007-10-11 Li Wan , Jinqiao Duan

The excess work required to drive a stochastic system out of thermodynamic equilibrium through a time-dependent external perturbation is directly related to the amount of entropy produced during the driving process, allowing excess work and…

Statistical Mechanics · Physics 2021-03-15 Steven J Large , Jannik Ehrich , David A Sivak

During a spontaneous change, a macroscopic physical system will evolve towards a macro-state with more realizations. This observation is at the basis of the Statistical Mechanical version of the Second Law of Thermodynamics, and it provides…

Statistical Mechanics · Physics 2020-04-22 Mengjie Zu , Arunkumar Bupathy , Daan Frenkel , Srikanth Sastry

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…

Statistical Mechanics · Physics 2007-05-23 V. V. Ryazanov , S. G. Shpyrko

Entropy is a central concept in physics, but can be challenging to calculate even for systems that are easily simulated. This is exacerbated out of equilibrium, where generally little is known about the distribution characterizing simulated…

Statistical Mechanics · Physics 2024-05-09 Samuel D. Gelman , Guy Cohen

This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we have established the stability theory and proposed stability conditions based on the delta dissipativity. In Part…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Peng Yang , Yifan Su , Xiaoyu Peng , Hua Geng , Feng Liu

Landauer principle describes the minimum heat produced by an information-processing device. Recently a new term has been included in the minimum heat production: it's called conditional entropy and takes into account the microstates content…

Statistical Mechanics · Physics 2016-10-06 D. Chiuchiú , M. C. Diamantini , L. Gammaitoni

Entropy production quantifies the amount of irreversibility of a physical process, leading to fundamental bounds for thermodynamic quantities. It captures the inability to run a physical system forward and then backward, bringing it to the…

Stochastic processes that are randomly reset to an initial condition serve as a showcase to investigate non-equilibrium steady states. However, all existing results have been restricted to the special case of memoryless resetting protocols.…

Statistical Mechanics · Physics 2016-03-23 Stephan Eule , Jakob Metzger

This paper contains two parts: the description of a real electrical system, with many redundancies, reconfigurations and repairs, then the description of a reliability model of this system, based on the BDMP (Boolean logic Driven Markov…

Software Engineering · Computer Science 2017-03-21 Marc Bouissou

It is known that the equilibrium properties of open classical systems that are strongly coupled to a heat bath are described by a set of thermodynamic potentials related to the system's Hamiltonian of mean force. By adapting this framework…

Statistical Mechanics · Physics 2017-06-28 Harry J. D. Miller , Janet Anders

Multistability-induced hysteresis has been widely studied in mechanical systems, but such behavior has proven more difficult to reproduce experimentally in flow networks. Natural flow networks like animal and plant vasculature can exhibit…

Soft Condensed Matter · Physics 2025-12-03 Lauren E. Altman , Nadia Aguilar , Douglas J. Durian , Miguel Ruiz-Garcia , Eleni Katifori

The ability to monitor nutrient and other environmental conditions with high sensitivity is crucial for cell growth and survival. Sensory adaptation allows a cell to recover its sensitivity after a transient response to a shift in the…

Subcellular Processes · Quantitative Biology 2016-01-07 Shou-Wen Wang , Yueheng Lan , Lei-Han Tang

Any coarse-grained description of a nonequilibrium system should faithfully represent its latent irreversible degrees of freedom. However, standard dimensionality reduction methods typically prioritize accurate reconstruction over physical…

Statistical Mechanics · Physics 2025-08-18 Catherine Ji , Ravin Raj , Benjamin Eysenbach , Gautam Reddy