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We present a critical examination of the difficulties with the quantum versions of a lifted weight that are widely used as work storage systems in quantum thermodynamics. To overcome those difficulties, we turn to the strong connections…

Quantum Physics · Physics 2019-06-05 Shang-Yung Wang

In an Information machine system's dynamics gets affected by the attached information reservoir. Second law of thermodynamics can be apparently violated for this case. In this article we have derived second law for an information machine,…

Statistical Mechanics · Physics 2018-06-27 Shubhashis Rana

We identify that quantum coherence is a valuable resource in the quantum heat engine, which is designed in a quantum thermodynamic cycle assisted by a quantum Maxwell's demon. This demon is in a superposed state. The quantum work and heat…

Quantum Physics · Physics 2025-09-09 Yun-Hao Shi , Hai-Long Shi , Xiao-Hui Wang , Ming-Liang Hu , Si-Yuan Liu , Wen-Li Yang , Heng Fan

A new scenario for energy distribution, security and shareability is presented that assumes the availability of quantum information heat engines and a thermal bath. It is based on the convertibility between entropy and work in the presence…

Quantum Physics · Physics 2016-08-02 J. M. Diaz de la Cruz , M. A. Martin-Delgado

We study a two-level system controlled in a discrete feedback loop, modeling both the system and the controller in terms of stochastic Markov processes. We find that the extracted work, which is known to be bounded from above by the mutual…

Statistical Mechanics · Physics 2015-09-02 Jaegon Um , Haye Hinrichsen , Chulan Kwon , Hyunggyu Park

This paper is organized into four chapters. The first chapter observes how decoupling labor from ownership of the output produced by that labor is equivalent to building an engine that is incentivized to generate the maximum energy output,…

Physics and Society · Physics 2023-01-18 Stephen Casey

Entropy production is one of the most important characteristics of non-equilibrium steady states. We study here the steady-state entropy production, both at short times as well as in the long-time limit, of two important classes of…

Statistical Mechanics · Physics 2015-05-27 Sven Dorosz , Michel Pleimling

In the context of energy transition, industrial plants that heavily rely on electricity face more and more price volatility. To continue operating in these conditions, the directors become continually more willing to increase their…

Optimization and Control · Mathematics 2021-04-20 Thibaut Cuvelier

Here we deconstruct, and then in a reasoned way reconstruct, the concept of "entropy of a system," paying particular attention to where the randomness may be coming from. We start with the core concept of entropy as a COUNT associated with…

General Physics · Physics 2017-05-10 Tommaso Toffoli

We propose a method for inferring entropy production (EP) in high-dimensional stochastic systems, including many-body systems and non-Markovian systems with long memory. Standard techniques for estimating EP become intractable in such…

Statistical Mechanics · Physics 2026-02-20 Miguel Aguilera , Sosuke Ito , Artemy Kolchinsky

We show that connectivity within the high-dimensional recurrent layer of a reservoir network is crucial for its performance. To this end, we systematically investigate the impact of network connectivity on its performance, i.e., we examine…

Neural and Evolutionary Computing · Computer Science 2025-12-01 Shailendra K. Rathor , Martin Ziegler , Jörg Schumacher

This paper explores the conditions under which global contraction manifests in the leaky continuous time reservoirs, thus guaranteeing generalized synchronization. Results on continuous time reservoirs make use of the logarithmic norm of…

Chaotic Dynamics · Physics 2025-01-06 Adrian S. Wong , Robert S. Martin , Daniel Q. Eckhardt

This is a short review of the statistical mechanical definition of entropy production for systems composed of a large number of interacting components. Emphasis is on open systems driven away from equilibrium where the entropy production…

Statistical Mechanics · Physics 2015-06-02 Christian Maes

Entropy production is a universal measure of irreversibility and energy dissipation in physical, chemical, and biological systems operating far from equilibrium. However, quantifying and spatiotemporally localising it in complex processes…

Statistical Mechanics · Physics 2026-05-18 Biswajit Das , Sreekanth K Manikandan

Reservoir computing is a recent trend in neural networks which uses the dynamical perturbations on the phase space of a system to compute a desired target function. We present how one can formulate an expectation of system performance in a…

Neural and Evolutionary Computing · Computer Science 2014-09-02 Alireza Goudarzi , Darko Stefanovic

The work content of non-equilibrium systems in relation to a heat bath is often analyzed in terms of expectation values of an underlying random work variable. However, we show that when optimizing the expectation value of the extracted…

Quantum Physics · Physics 2015-03-19 Johan Aberg

We propose a new form of the Second Law inequality that defines a tight bound for extractable work from the non-equilibrium quantum state. In classical thermodynamics, the optimal work is given by the difference of free energy, what…

Quantum Physics · Physics 2023-02-14 Marcin Łobejko

We theoretically derive and experimentally compare several different ways to access entropy production in a quantum process under feedback control. We focus on a bipartite quantum system realizing an autonomous Maxwell's demon scheme…

For sensory networks, we determine the rate with which they acquire information about the changing external conditions. Comparing this rate with the thermodynamic entropy production that quantifies the cost of maintaining the network, we…

Statistical Mechanics · Physics 2013-04-08 A. C. Barato , D Hartich , U. Seifert

Environmental fluctuations can shape replicator dynamics, with important consequences for both prebiotic and modern ecosystems. However, it remains unclear how simple replicators can acquire and use information about fluctuating…

Biological Physics · Physics 2026-05-25 Jordi Piñero , Damian R. Sowinski , Gourab Ghoshal , Adam Frank , Artemy Kolchinsky
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