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We treat a quantum mechanical system with certain general properties which are expected to be common in macroscopic quantum systems. Starting from a PURE initial state (which may not describe an equilibrium) in which energy is mildly…

Statistical Mechanics · Physics 2007-05-23 Hal Tasaki

Maxwell refrigerator as a device that can transfer heat from a cold to hot temperature reservoir making use of information reservoir was introduced by Mandal et al. \cite{Mandal2013a}. The model has a two state demon and a bit stream…

Statistical Mechanics · Physics 2021-02-24 Toby Joseph , Kiran V

Information engines can convert thermal fluctuations of a bath at temperature $T$ into work at rates of order $k_\mathrm{B}T$ per relaxation time of the system. We show experimentally that such engines, when in contact with a bath that is…

Statistical Mechanics · Physics 2023-12-25 Tushar K. Saha , Jannik Ehrich , Momčilo Gavrilov , Susanne Still , David A. Sivak , John Bechhoefer

We provide a unified thermodynamic formalism describing information transfers in autonomous as well as nonautonomous systems described by stochastic thermodynamics. We demonstrate how information is continuously generated in an auxiliary…

Statistical Mechanics · Physics 2014-08-06 Jordan M. Horowitz , Massimiliano Esposito

The relation between the theory of entanglement and thermodynamics is very tight: a thermodynamic theory of quantum entanglement, as well as the establishment of rigorous formal connections between the laws of thermodynamics and the…

We study the Hamiltonian Mean Field (HMF) model, a system of $N$ fully coupled particles, in the microcanonical ensemble. We use the previously obtained free energy in the canonical ensemble to derive entropy as a function of energy, using…

Condensed Matter · Physics 2007-05-23 Mickael Antoni , Haye Hinrichsen , Stefano Ruffo

We investigate the role of chirality on the performance of a Maxwell demon implemented in a quantum Hall bar with a localized impurity. Within a stochastic thermodynamics description we investigate the ability of such a demon to drive a…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Guillem Rosselló , Rosa López , Gloria Platero

I dispute the conventional claim that the second law of thermodynamics is saved from a "Maxwell's Demon" by the entropy cost of information erasure, and show that instead it is measurement that incurs the entropy cost. Thus Brillouin, who…

Quantum Physics · Physics 2025-07-22 R. E. Kastner

The Second Law of Thermodynamics states that the entropy of a closed system is non-decreasing. Discussing the Second Law in the quantum world poses new challenges and provides new opportunities, involving fundamental…

Quantum Physics · Physics 2016-12-01 A. V. Lebedev , D. Oehri , G. B. Lesovik , G. Blatter

The limits of the Second Law of Thermodynamics, which reigns undisputed in the macroscopic world, are investigated at the mesoscopic level, corresponding to spatial dimensions of a few microns. An extremely simple isolated system, modeled…

Classical Physics · Physics 2007-05-23 Bruno Crosignani , Paolo Di Porto , Claudio Conti

We study the coupled particle and energy transport in a prototype model of interacting one-dimensional system: the disordered hard-point gas, for which numerical data suggest that the thermoelectric figure of merit ZT diverges with the…

Statistical Mechanics · Physics 2010-10-26 Keiji Saito , Giuliano Benenti , Giulio Casati

We generalize the second law of thermodynamics in its maximum work formulation for a nonequilibrium initial distribution. It is found that in an isothermal process, the Boltzmann relative entropy (H-function) is not just a Lyapunov function…

Statistical Mechanics · Physics 2015-05-13 H. -H. Hasegawa , J. Ishikawa , K. Takara , D. J. Driebe

We determine the statistics of work in isothermal volume changes of a classical ideal gas consisting of a single particle. Combining our results with the findings of Lua and Grosberg [J. Chem. Phys. B 109, 6805 (2005)] on adiabatic…

Statistical Mechanics · Physics 2015-06-15 Johannes Hoppenau , Markus Niemann , Andreas Engel

Work is one of the most basic notion in statistical mechanics, with work fluctuation theorems being one central topic in nanoscale thermodynamics. With Hamiltonian chaos commonly thought to provide a foundation for classical statistical…

Statistical Mechanics · Physics 2017-02-01 Jiawen Deng , Alvis Mazon Tan , Peter Hanggi , Jiangbin Gong

We consider an autonomous implementation of Maxwell's demon in a quantum dot architecture. As in the original thought experiment, only the second law of thermodynamics is seemingly violated when disregarding the demon. The autonomous…

Mesoscale and Nanoscale Physics · Physics 2022-11-08 Rafael Sánchez , Peter Samuelsson , Patrick P. Potts

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…

Almost all processes -- highly correlated, weakly correlated, or correlated not at all---exhibit statistical fluctuations. Often physical laws, such as the Second Law of Thermodynamics, address only typical realizations -- as highlighted by…

Statistical Mechanics · Physics 2016-09-09 James P. Crutchfield , Cina Aghamohammadi

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 thermodynamical costs imposed by computational resource limitations like memory and time have been investigated before. We focus on a new computational limitation, namely, the machine being allowed to scan the input only once, and prove…

Information Theory · Computer Science 2023-04-25 Fırat Kıyak , A. C. Cem Say

We study the stochastic dynamics of Brownian particles in a heat bath and subject to an active feedback control by an external, Maxwell's demon-like agent. The agent uses the information of the velocity of a particle and reduces its thermal…

Classical Physics · Physics 2007-05-23 Kyung Hyuk Kim , Hong Qian