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Inspired by the available examples of Microcanonical Szil\'ard Engines and by the original Szil\'ard Engine, we devise a system with two degrees of freedom whose ensemble average energy, starting with a microcanical ensemble, decreases…

Statistical Mechanics · Physics 2019-08-23 Artur Soriani , Marcus V. S. Bonança

We discuss the possibility of extraction of energy from a single heat bath in a cyclic process, under some special initial conditions. We give an explicit example in which a system initially prepared in a microcanonical ensemble, is able to…

Statistical Mechanics · Physics 2012-09-11 Rahul Marathe , J. M. R. Parrondo

Although there is not a complete "proof" of the second law of thermo- dynamics based on microscopic dynamics, two properties of Hamiltonian systems have been used to prove the impossibility of work extraction from a single thermal…

Statistical Mechanics · Physics 2015-04-22 Juan M. R. Parrondo , Léo Granger

In the Second Law of Thermodynamics which is a macroscopic physical law that states that in any isolated system, entropy can only increase and order, or organization, can only decrease. This means that in the long run, energy will always…

Classical Physics · Physics 2021-11-25 Srinivasa Rao. P

We discuss the possibility of extracting energy from a single thermal bath using microcanonical Szil\'ard engines operating in finite time. This extends previous works on the topic which are restricted to the quasistatic regime. The…

Statistical Mechanics · Physics 2017-12-27 Thiago V. Acconcia , Marcus V. S. Bonança

We present a complete-quantum description of multi-particle Szilard engine which consists of a working substance and a Maxwell's demon. The demon is modeled as a multi-level quantum system with specific quantum control and the working…

Quantum Physics · Physics 2012-03-20 C. Y. Cai , H. Dong , C. P. Sun

We introduce a deterministic chaotic system---the Szilard Map---that encapsulates the measurement, control, and erasure protocol by which Maxwellian Demons extract work from a heat reservoir. Implementing the Demon's control function in a…

Statistical Mechanics · Physics 2016-05-18 Alexander B. Boyd , James P. Crutchfield

We study the physical mechanism of Maxwell's Demon (MD) helping to do extra work in thermodynamic cycles, by describing measurement of position, insertion of wall and information erasing of MD in a quantum mechanical fashion. The heat…

Quantum Physics · Physics 2015-05-19 H. Dong , D. Z. Xu , C. P. Sun

Szilard's now-famous single-molecule engine was only the first of three constructions he introduced in 1929 to resolve several paradoxes arising from Maxwell's demon. We analyze Szilard's remaining two demon models. We show that the second…

Statistical Mechanics · Physics 2020-03-24 Kyle J. Ray , James P. Crutchfield

We study the reduction in total entropy, and associated conversion of environmental heat into work, arising from the coupling and decoupling of two systems followed by processing determined by suitable mutual feedback. The scheme is based…

Statistical Mechanics · Physics 2016-05-10 Ian J. Ford , Michael Maitland

The relation between entropy and information dates back to the classical Maxwell demon (MD) paradox, a thought experiment proposed in 1867 by J. C. Maxwell to violate the second law of thermodynamics. A variant of the classical MD is the…

Statistical Mechanics · Physics 2020-06-03 Marco Ribezzi-Crivellari , Felix Ritort

We propose a new thermodynamic equality and several inequalities concerning the relationship between work and information for an isothermal process with Maxwell's demon. Our approach is based on the formulation a la Jarzynski of the…

Statistical Mechanics · Physics 2007-05-23 Takahiro Sagawa , Masahito Ueda

With a class of quantum heat engines which consists of two-energy-eigenstate systems undergoing, respectively, quantum adiabatic processes and energy exchanges with heat baths at different stages of a cycle, we are able to clarify some…

Quantum Physics · Physics 2007-05-23 Tien D. Kieu

In mathematical physical analyses of Szilard's engine and Maxwell's demon, a general assumption (explicit or implicit) is that one can neglect the energy needed for relocating the piston in Szilard's engine and for driving the trap door in…

General Physics · Physics 2012-06-26 Laszlo B. Kish , Claes G. Granqvist

We propose a setup based on two coupled quantum dots where thermodynamics of a measurement can be quantitatively characterized. The information obtained in the measurement can be utilized by performing feedback in a manner apparently…

Statistical Mechanics · Physics 2016-04-06 Aki Kutvonen , Takahiro Sagawa , Tapio Ala-Nissilä

In an asymmetric Szilard engine model of Maxwell's demon, we show the equivalence between information theoretical and thermodynamic entropies when the demon erases information optimally. The work gain by the engine can be exactly canceled…

Classical Physics · Physics 2011-12-13 Akio Hosoya , Koji Maruyama , Yutaka Shikano

We analyze an engine whose working fluid consists of a single quantum particle, paralleling Szilard's construction of a classical single-particle engine. Following his resolution of Maxwell's Second Law paradox using the latter, which…

Quantum Physics · Physics 2022-12-07 Maryam Ashrafi , Kyle J. Ray , Fabio Anza , James P. Crutchfield

In Szilard's engine, a demon measures a one-particle gas and applies feedback to extract work from thermal fluctuations, embodying Maxwell's notion that information reduces thermodynamic entropy - an apparent second-law violation. The…

Statistical Mechanics · Physics 2025-08-26 Xiangjun Xing

It is nearly 150 years since Maxwell challenged the validity of the second law of thermodynamics by imagining a tiny creature who could sort the molecules of a gas in such a way that would decrease entropy without exerting any work. The…

Statistical Mechanics · Physics 2016-08-24 Ian J. Ford

The interplay between thermal machines and quantum correlations is of great interest in both quantum thermodynamics and quantum information science. Recently, a quantum Szil\'ard engine has been proposed, showing that the quantum…

Quantum Physics · Physics 2022-11-03 Feng-Jui Chan , Yi-Te Huang , Jhen-Dong Lin , Huan-Yu Ku , Jui-Sheng Chen , Hong-Bin Chen , Yueh-Nan Chen
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