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Thermodynamics teaches that if a system initially off-equilibrium is coupled to work sources, the maximum work that it may yield is governed by its energy and entropy. For finite systems this bound is usually not reachable. The maximum…

Statistical Mechanics · Physics 2009-11-10 A. E. Allahverdyan , R. Balian , Th. M. Nieuwenhuizen

In this theoretical study, we determine the maximum amount of work extractable in finite time by a demon performing continuous measurements on a quadratic Hamiltonian system subjected to thermal fluctuations, in terms of the information…

Statistical Mechanics · Physics 2014-10-21 Henrik Sandberg , Jean-Charles Delvenne , Nigel J. Newton , Sanjoy K. Mitter

The mass--energy formula of black holes implies that up to 50% of the energy can be extracted from a static black hole. Such a result is reexamined using the recently established analytic formulas for the collapse of a shell and expression…

Astrophysics · Physics 2009-11-07 Remo Ruffini , Luca Vitagliano

We study the maximal amount of energy that can be extracted from a finite quantum system by means of projective measurements. For this quantity we coin the expression "metrotropy" $\mathcal{M}$, in analogy with "ergotropy" $\mathcal{W}$,…

Quantum Physics · Physics 2019-09-10 Andrea Solfanelli , Lorenzo Buffoni , Alessandro Cuccoli , Michele Campisi

We derive the optimal estimates of the free energies of an arbitrary number of thermodynamic states from nonequilibrium work measurements; the work data are collected from forward and reverse switching processes and obey a fluctuation…

Statistical Mechanics · Physics 2009-11-11 Paul Maragakis , Martin Spichty , Martin Karplus

The mass-energy formula for a black hole endowed with electromagnetic structure (EMBH) is clarified for the nonrotating case. The irreducible mass $M_{\mathrm{irr}}$ is found to be independent of the electromagnetic field and explicitly…

Astrophysics · Physics 2009-11-07 Remo Ruffini , Luca Vitagliano

Evaluating the maximum amount of work extractable from a nanoscale quantum system is one of the central problems in quantum thermodynamics. Previous works identified the free energy of the input state as the optimal rate of extractable work…

Quantum Physics · Physics 2026-03-06 Kaito Watanabe , Ryuji Takagi

Measurement and feedback allows an external agent to extract work from a system in contact with a single thermal bath. The maximum amount of work that can be extracted in a single measurement and the corresponding feedback loop is given by…

Statistical Mechanics · Physics 2024-01-19 L. Dinis , J. M. R. Parrondo

Energy extraction is a central task in thermodynamics. In quantum physics, ergotropy measures the amount of work extractable under cyclic Hamiltonian control. As its full extraction requires perfect knowledge of the initial state, however,…

Quantum Physics · Physics 2023-05-31 Dominik Šafránek , Dario Rosa , Felix Binder

Black hole thermodynamics is the area of study that seeks to reconcile the laws of thermodynamics with the existence of black hole event horizons. Here we calculate the entropy corresponding to the interior of a Schwarzschild black hole for…

General Physics · Physics 2019-02-28 Sandip Dutta , Ritabrata Biswas

Spinning black holes store rotational energy that can be extracted. When a black hole is immersed in an externally supplied magnetic field, reconnection of magnetic field lines within the ergosphere can generate negative energy (relative to…

High Energy Astrophysical Phenomena · Physics 2021-01-14 Luca Comisso , Felipe A. Asenjo

Work can be extracted from a single heat bath if additional information is available. For the paradigmatic case of a Brownian particle in a harmonic potential, whose position has been measured with finite precision, we determine the optimal…

Statistical Mechanics · Physics 2011-03-24 D. Abreu , U. Seifert

The energy extraction from an electrostatic black hole by the decay or splitting of electrically charged particles is analyzed. We determine the energetic conditions that make the extraction process viable and present a general expression…

General Relativity and Quantum Cosmology · Physics 2024-09-27 A. Baez , Nora Breton , I. Cabrera-Munguia

A sudden change in the macroscopic parameters of a system will cause it to depart from equilibrium. In this paper we study how a lack of change can also inform of such a departure, and allow for work extraction. Potential events that are…

Statistical Mechanics · Physics 2022-02-03 Sushrut Ghonge , Dervis Can Vural

Statistical mechanics explains thermodynamics in terms of (quantum) mechanics by equating the entropy of a microstate of a closed system with the logarithm of the number of microstates in the macrostate to which it belongs, but the question…

High Energy Physics - Theory · Physics 2007-05-23 Bernard S. Kay

In classical thermodynamics, irreversible processes are accomplished with an increase of entropy and a release of heat into the environment. In the case of black hole thermodynamics, instead, the increase of entropy is related with the…

General Relativity and Quantum Cosmology · Physics 2017-12-08 Arturo J. Gomez , Carlos Paiva

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

Finite-time thermodynamics provides the means to revisit ideal thermodynamic equilibrium processes in the light of reality and investigate the energetic "price of haste", i.e. the consequences of carrying out a process in finite time, when…

General Relativity and Quantum Cosmology · Physics 2016-01-05 Christine Gruber

Ergotropy, as a measure for extractable work from a quantum system, has garnered significant attention due to its relevance in quantum thermodynamics and information processing. In this work, the dynamics of ergotropy will be investigated…

Quantum Physics · Physics 2024-06-04 Maryam Hadipour , Soroush Haseli

The universal bound on specific entropy was originally inferred from black hole thermodynamics. We here show from classical thermodynamics alone that for a system at fixed volume or fixed pressure, the ratio of entropy to nonrelativistic…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Jacob D. Bekenstein
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