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Related papers: Irreversibility in Non-reciprocal Chaotic Systems

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Active systems evade the rules of equilibrium thermodynamics by constantly dissipating energy at the level of their microscopic components. This energy flux stems from the conversion of a fuel, present in the environment, into sustained…

Soft Condensed Matter · Physics 2022-03-15 Étienne Fodor , Robert L. Jack , Michael E. Cates

The established thermodynamic formalism of chaotic dynamics, valid at statistical equilibrium, is here generalized to systems out of equilibrium, that have yet to relax to a steady state. A relation between information, escape rate, and the…

Chaotic Dynamics · Physics 2024-08-28 Domenico Lippolis

It is shown that a periodic perturbation of the quantum pendulum (similarly to the classical one) in the neighbourhood of the separatrix can bring about irreversible phenomena. As a result of recurrent passages between degenerate states,…

Chaotic Dynamics · Physics 2007-05-23 A. Ugulava , L. Chotorlishvili , K. Nickoladze

Systems coupled to multiple thermodynamic reservoirs can exhibit nonequilibrium dynamics, breaking detailed balance to generate currents. To power these currents, the entropy of the reservoirs increases. The rate of entropy production, or…

Statistical Mechanics · Physics 2019-04-16 Junang Li , Jordan M. Horowitz , Todd R. Gingrich , Nikta Fakhri

The entropy production rate (EPR), a key measure of thermodynamic irreversibility in stochastic thermodynamics, is difficult to determine directly in experiments, motivating lower-bound-based estimation from observations. However, a…

Statistical Mechanics · Physics 2026-05-19 Yijia Cheng , Ruicheng Bao , Zhonghuai Hou

Thermodynamic irreversibility is a fundamental concept in statistical physics, yet its experimental measurement remains challenging, especially for complex systems. We introduce a novel random coarse-graining framework to identify…

Statistical Mechanics · Physics 2025-09-25 Ruicheng Bao , Naruo Ohga , Sosuke Ito

The paper is focused on the discussion of the phenomenon of transitional chaos in dynamic autonomous and non-autonomous systems. This phenomenon involves the disappearance of chaotic oscillations in specific time periods and the system…

Chaotic Dynamics · Physics 2026-02-10 Marek Berezowski

Exploiting the relative entropy of coherence, we isolate the coherent contribution in the energetics of a driven non-equilibrium quantum system. We prove that a division of the irreversible work can be made into a coherent and incoherent…

Quantum Physics · Physics 2019-04-10 G. Francica , J. Goold , F. Plastina

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

Self-sustained order can emerge in complex systems due to internal feedback between coupled subsystems. Here, we present our discovery of a non-monotonic emergence of order amidst chaos in a turbulent thermo-acoustic fluid system.…

Fluid Dynamics · Physics 2025-02-19 Aswin Balaji , Shruti Tandon , Norbert Marwan , Jürgen Kurths , R. I. Sujith

Unraveling the mechanisms of ergodicity breaking in complex quantum systems is a central pursuit in nonequilibrium physics. In this work, we investigate a one-dimensional spin model featuring a tunable long-range hopping term, $H_{n}$,…

Quantum Physics · Physics 2025-12-17 Y. S. Liu , X. Z. Zhang

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

We assume that markovian dynamics on a finite graph enjoys a gauge symmetry under local scalings of the probability density, derive the transformation law for the transition rates and interpret the thermodynamic force as a gauge potential.…

Statistical Mechanics · Physics 2015-05-30 Matteo Polettini

This paper presents an {\it ab initio} derivation of the expression given by irreversible thermodynamics for the rate of entropy production for different classes of diffusive processes. The first class are Lorentz gases, where…

Chaotic Dynamics · Physics 2009-11-07 J. R. Dorfman , P. Gaspard , T. Gilbert

In this paper, we introduce the notion of distributional chaos and the measure of chaos for random dynamical systems generated by two interval maps. We give some sufficient conditions for a zero measure of chaos and examples of chaotic…

Dynamical Systems · Mathematics 2018-08-09 Jozef Kováč , Katarína Janková

A set of core features is set forth as the essence of a thermodynamic description, which derive from large-deviation properties in systems with hierarchies of timescales, but which are \emph{not} dependent upon conservation laws or…

Statistical Mechanics · Physics 2020-10-28 Eric Smith

We propose an entropy measure for the analysis of chaotic attractors through recurrence networks which are un-weighted and un-directed complex networks constructed from time series of dynamical systems using specific criteria. We show that…

Physics and Society · Physics 2019-10-02 K. P. Harikrishnan , R. Misra , G. Ambika

Chaotic behavior in dynamical systems poses a significant challenge in trajectory control, traditionally relying on computationally intensive physical models. We present a machine learning-based algorithm to compute the minimum control…

Chaotic Dynamics · Physics 2025-06-18 David Valle , Rubén Capeáns , Alexandre Wagemakers , Miguel A. F. Sanjuán

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…

Systems and Control · Electrical Eng. & Systems 2020-04-13 Mahendra Singh Tomar , Christoph Kawan , Pushpak Jagtap , Majid Zamani

Quantum chaos is presented as a paradigm of information processing by dynamical systems at the bottom of the range of phase-space scales. Starting with a brief review of classical chaos as entropy flow from micro- to macro-scales, I argue…

Quantum Physics · Physics 2019-05-01 Thomas Dittrich