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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

We report an experimental realisation of Maxwell's demon in a photonic setup. We show that a measurement at the single-photon level followed by a feed-forward operation allows the extraction of work from intense thermal light into an…

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

We propose and analyze a quantum version of Szilard's ``one-molecule engine.'' In particular, we recover, in the quantum context, Szilard's conclusion concerning the free energy ``cost'' of measurements: $\Delta F \geq k_B T\ln2$ per bit of…

Quantum Physics · Physics 2007-05-23 Wojciech Hubert Zurek

This paper introduces a new type of probabilistic semiparametric model that takes advantage of data binning to reduce the computational cost of kernel density estimation in nonparametric distributions. Two new conditional probability…

Machine Learning · Computer Science 2026-04-02 Rafael Sojo , Javier Díaz-Rozo , Concha Bielza , Pedro Larrañaga

Computational electromagnetics (CEM) is employed to numerically solve Maxwell's equations, and it has very important and practical applications across a broad range of disciplines, including biomedical engineering, nanophotonics, wireless…

Computational Engineering, Finance, and Science · Computer Science 2024-05-03 Stefanos Bakirtzis , Marco Fiore , Jie Zhang , Ian Wassell

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

Kinetic proofreading mechanisms explain the extraordinary accuracy observed in central biological events in terms of the enhanced specificity of substrate selection networks under a nonequilibrium environment. The nonequilibrium steady…

Adaptation and Self-Organizing Systems · Physics 2022-06-29 Premashis Kumar , Kinshuk Banerjee , Gautam Gangopadhyay

We initially prepare a quantum linear oscillator weakly coupled to a bath in equilibrium at an arbitrary temperature. We disturb this system by varying a Hamiltonian parameter of the coupled oscillator, namely, either its spring constant or…

Statistical Mechanics · Physics 2015-05-27 Ilki Kim

Quantum Darwinism explains the emergence of a classical description of objects in terms of the creation of many redundant registers in an environment containing their classical information. This amplification phenomenon, where only…

Quantum Physics · Physics 2015-08-12 Gian Luca Giorgi , Fernando Galve , Roberta Zambrini

Energy consumption of computing has found increasing prominence but the area still suffers from the lack of a consolidated formal theory. In this paper, a theory for the energy consumption of computing is structured as an axiomatic system.…

Statistical Mechanics · Physics 2020-11-20 Alireza Ejlali

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

We present here an exploration on on the physical implications of the Darwinian dynamics. We first show that how the nonequilibrium statistical mechanics emerges naturally. We then show that the first three laws of the thermodynamics, the…

Classical Physics · Physics 2007-05-23 P. Ao

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 study nonequilibrium steady states (NESSs) in quantum spin-1/2 chains in contact with two heat baths at different temperatures. We consider the weak-coupling limit both for spin-spin coupling in the system and for system-bath coupling.…

Statistical Mechanics · Physics 2017-04-07 Toyohiko Ishida , Ayumu Sugita

Maxwell's equations are a collection of coupled partial differential equations (PDEs) that, together with the Lorentz force law, constitute the basis of classical electromagnetism and electric circuits. Effectively solving Maxwell's…

Machine Learning · Computer Science 2023-08-15 Shiyuan Piao , Hong Gu , Aina Wang , Pan Qin

Measurements --- interactions which establish correlations between a system and a recording device --- can be made thermodynamically reversible. One might be concerned that such reversibility will make the second law of thermodynamics…

Quantum Physics · Physics 2007-05-23 W. H. Zurek

The quantum dynamic equation (QDE) of machine learning is obtained based on Schr\"odinger equation and potential energy equivalence relationship. Through Wick rotation, the relationship between quantum dynamics and thermodynamics is also…

Quantum Physics · Physics 2024-07-30 Peng Wang , Maimaitiniyazi Maimaitiabudula

We present an experimental realization of an autonomous Maxwell's Demon, which extracts microscopic information from a System and reduces its entropy by applying feedback. It is based on two capacitively coupled single electron devices,…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 J. V. Koski , A. Kutvonen , I. M. Khaymovich , T. Ala-Nissila , J. P. Pekola

Mechanical Maxwell's demons, such as Smoluchowski's trapdoor and Feynman's ratchet and pawl need external energy source to operate. If you cease to feed a demon the Second Law of thermodynamics will quickly stop its operation. Nevertheless,…

Classical Physics · Physics 2008-11-26 Z. K. Silagadze
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