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This paper addresses two seemingly unrelated problems, (a) What is the entropy and energy accounting in the Maxwell Demon problem? and (b) How can the efficiency of markets be measured? Here we show, in a simple model for the Maxwell Demon,…

Classical Physics · Physics 2008-12-02 Roger D. Jones , Sven G. Redsun , Roger E. Frye , Kelly D. Myers

This paper provides an overview of the first experimental realizations of quantum-mechanical Maxwell's demons based on superconducting circuits. The principal results of these experiments are recalled and put into context. We highlight the…

Quantum Physics · Physics 2019-05-01 Nathanaël Cottet , Benjamin Huard

This chapter provides an overview of the methods and results for quantum thermodynamic experiments with single-electron devices. The experiments with a single-electron box on Jarzynski equality and Crooks relation, two-temperature…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Jonne V. Koski , Jukka P. Pekola

Here we study the operation efficiency of a finite-size finite-response-time Maxwell's demon, who can make future predictions. We compare the heat and mass transport rate of predictive demons to non-predictive ones and find that predictive…

Statistical Mechanics · Physics 2021-01-04 Nathaniel Rupprecht , Dervis Vural

We implemented an optical one-way potential barrier that allows ultracold $^{87}$Rb atoms to transmit through when incident on one side of the barrier but reflect from the other. This asymmetric barrier is a realization of Maxwell's demon,…

Atomic Physics · Physics 2009-06-20 Jeremy J. Thorn , Elizabeth A. Schoene , Tao Li , Daniel A. Steck

We develop non-equilibrium theory by using averages in time and space as a generalized way to upscale thermodynamics in non-ergodic systems. The approach offers a classical perspective on the energy dynamics in fluctuating systems. The rate…

Soft Condensed Matter · Physics 2021-09-29 James E. McClure , Steffen Berg , Ryan T. Armstrong

We study how correlations affect the performance of the simulator of a Maxwell's demon demonstrated in a recent optical experiment [Vidrighin et al., Phys. Rev. Lett. 116, 050401 (2016)]. The power of the demon is found to be enhanced or…

Quantum Physics · Physics 2017-02-28 Angeline Shu , Jibo Dai , Valerio Scarani

Classical and quantum electronic circuits provide ideal platforms to investigate stochastic thermodynamics and they have served as a stepping stone to realize Maxwell's demons with highly controllable protocols. In this article we first…

Statistical Mechanics · Physics 2024-01-24 J. P. Pekola , I. M. Khaymovich

A system in equilibrium does not evolve -- time independence is its telltale characteristic. However, in Newtonian physics the microstate of an individual system (a point in its phase space) evolves incessantly in accord with its equations…

Quantum Physics · Physics 2018-11-14 Wojciech H. Zurek

We present a microscopic Hamiltonian framework to develop Maxwell demon like engine. Our model consists of a equilibrium thermal bath and a non-equilibrium bath; latter generated by driving with an external stationary, Gaussian noise. The…

Statistical Mechanics · Physics 2007-12-13 Jyotipratim Ray Chaudhuri , Sudip Chattopadhyay , Suman Kumar Banik

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

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

It is generally accepted, following Landauer and Bennett, that the process of measurement involves no minimum entropy cost, but the erasure of information in resetting the memory register of a computer to zero requires dissipating heat into…

Quantum Physics · Physics 2007-05-23 J. Bub

This paper is divided into two parts. The first part reviews the formulae for f-divergences in the study of continuous-time Markov processes and explores their applications in areas such as stochastic stability, the second law of…

Probability · Mathematics 2024-10-03 Jin Won Kim , Amirhossein Taghvaei , Prashant G. Mehta

We propose a new inequality that we call the conditional ageing inequality (CAIN). The CAIN is a slight generalization to non-equilibrium situations of the Second Law of thermodynamics. The goal of this paper is to study the consequences of…

Quantum Physics · Physics 2013-01-08 Robert R. Tucci

Taking place naturally in a gas subject to a given wall temperature distribution [Maxwell1879], the ``ghost effect'' exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem…

Analysis of PDEs · Mathematics 2023-09-20 Raffaele Esposito , Yan Guo , Rossana Marra , Lei Wu

We introduce and realize demons that follow a customary gambling strategy to stop a nonequilibrium process at stochastic times. We derive second-law-like inequalities for the average work done in the presence of gambling, and universal…

Statistical Mechanics · Physics 2021-03-02 Gonzalo Manzano , Diego Subero , Olivier Maillet , Rosario Fazio , Jukka P. Pekola , Édgar Roldán

A Maxwell demon can reduce the entropy of a quantum system by performing measurements on its environment. The nonsignaling theorem prevents the demon from affecting the average state of the system. We study the preparations of quantum…

Quantum Physics · Physics 2022-07-19 Gang-Gang He , Fu-Lin Zhang

Quantum discord was proposed as an information theoretic measure of the ``quantumness'' of correlations. I show that discord determines the difference between the efficiency of quantum and classical Maxwell's demons -- that is, entities…

Quantum Physics · Physics 2009-11-10 Wojciech Hubert Zurek

Thomson's formulation of the second law - no work can be extracted from a system coupled to a bath through a cyclic process - is believed to be a fundamental principle of nature. For the equilibrium situation a simple proof is presented,…

Statistical Mechanics · Physics 2009-11-07 Armen E. Allahverdyan , Roger Balian , Theo M. Nieuwenhuizen