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In many real-world situations, there are constraints on the ways in which a physical system can be manipulated. We investigate the entropy production (EP) and extractable work involved in bringing a system from some initial distribution $p$…

Statistical Mechanics · Physics 2022-11-22 Artemy Kolchinsky , David H. Wolpert

Thermodynamic cycles are idealized processes that can convert heat into work or produce heat flow against a temperature gradient with the input of work. They remain an active area of research in modern stochastic thermodynamics. In…

Statistical Mechanics · Physics 2026-02-12 S. Liu , A. Datta , A. C. Barato

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

Understanding the connections between information and thermodynamics has been among the most visible applications of stochastic thermodynamics. While recent theoretical advances have established that the second law of thermodynamics sets…

Statistical Mechanics · Physics 2021-10-22 Joseph N. E. Lucero , Jannik Ehrich , John Bechhoefer , David A. Sivak

Maxwell's demon elucidates the value of information in thermodynamics, using measurement and feedback: he evolves an equilibrated gas into a nonequilibrium state, from which one might extract work. The demon can evolve the system farther…

An autonomous out of equilibrium Maxwell's demon is used to reverse the natural direction of the heat flux between two electric circuits kept at different temperatures and coupled by the electric thermal noise. The demon does not process…

Statistical Mechanics · Physics 2020-12-30 Sergio Ciliberto

Information ratchets extract work from heat baths using low entropy information reservoirs. We find that the structure of the reservoirs affects both their performance and phase diagram. By deriving exact probabilities of recurrence in…

Statistical Mechanics · Physics 2018-08-29 Richard E. Spinney , Mikhail Prokopenko , Dominique Chu

The resolution of the Maxwell's demon paradox linked thermodynamics with information theory through information erasure principle. By considering a demon endowed with a Turing-machine consisting of a memory tape and a processor, we attempt…

Statistical Mechanics · Physics 2015-11-30 Akio Hosoya , Koji Maruyama , Yutaka Shikano

We review recent work on the foundations of thermodynamics in the light of quantum information theory. We adopt a resource-theoretic perspective, wherein thermodynamics is formulated as a theory of what agents can achieve under a particular…

With the help of a general expression of the entropies in extensive and nonextensive systems, some important relations between thermodynamics and statistical mechanics are revealed through the views of thermodynamics and statistic physics.…

Statistical Mechanics · Physics 2009-11-13 Zhifu Huang , Congjie Ou , A. Le Mehaute , Qiuping A. Wang , Jincan Chen

We show that non-Markovian effects of the reservoirs can be used as a resource to extract work from an Otto cycle. The state transformation under non-Markovian dynamics is achieved via a two-step process, namely an isothermal process using…

Quantum Physics · Physics 2018-06-07 George Thomas , Nana Siddharth , Subhashish Banerjee , Sibasish Ghosh

In the present paper, several issues concerning the second law of thermodynamics, Maxwell's demon and Landauer's principle are dealt with. I argue that if the demon and the system on which it operates without dissipation of external energy…

Classical Physics · Physics 2013-06-04 Germano D'Abramo

Information plays a pivotal role in the thermodynamics of nonequilibrium processes with feedback. However, much remains to be learned about the nature of information fluctuations in small scale devices and their relation with fluctuations…

Statistical Mechanics · Physics 2016-12-21 Martin Luc Rosinberg , Jordan M. Horowitz

The Second Law of Thermodynamics states that temporal evolution of an isolated system occurs with non-diminishing entropy. In quantum realm, this holds for energy-isolated systems the evolution of which is described by the so-called unital…

We study a feedback control version of the flashing Brownian ratchet, in which the application of the flashing potential depends on the state of the particles to be controlled. Taking the view that the ratchet acts as a Maxwell's demon, we…

Statistical Mechanics · Physics 2008-12-02 F. J. Cao , M. Feito , H. Touchette

A microscopic definition of the thermodynamic entropy in an isolated quantum system must satisfy (i) additivity, (ii) extensivity and (iii) the second law of thermodynamics. We show that the diagonal entropy, which is the Shannon entropy in…

Statistical Mechanics · Physics 2015-03-30 Tatsuhiko N. Ikeda , Naoyuki Sakumichi , Anatoli Polkovnikov , Masahito Ueda

I study an autonomous quantum Maxwell's demon based on two exchange-coupled quantum dots attached to the spin-polarized leads. The principle of operation of the demon is based on the coherent oscillations between the spin states of the…

Statistical Mechanics · Physics 2018-01-24 Krzysztof Ptaszynski

The relation between the work performed to a system and the change of its free energy during a certain process is important in nonequilibrium statistical mechanics. In particular, the work relation with measurement and feedback control has…

Statistical Mechanics · Physics 2018-11-26 Hideyuki Miyahara , Kazuyuki Aihara

Engineered dynamical maps combining coherent and dissipative transformations of quantum states with quantum measurements, have demonstrated a number of technological applications, and promise to be a crucial tool in quantum thermodynamic…

We explore the properties of run-and-tumble particles moving in a piecewise-linear "ratchet" potential by deriving analytic results for the system's steady-state probability density, current, entropy production rate, extractable power, and…

Statistical Mechanics · Physics 2023-08-01 Connor Roberts , Zigan Zhen