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We expand the standard thermodynamic framework of a system coupled to a thermal reservoir by considering a stream of independently prepared units repeatedly put into contact with the system. These units can be in any nonequilibrium state…

Quantum Physics · Physics 2017-04-12 Philipp Strasberg , Gernot Schaller , Tobias Brandes , Massimiliano Esposito

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 dictates the fundamental limits to the amount of energy and information that can be exchanged between physical systems. In this work, we extend a thermodynamic formalism describing this flow of energy and…

Statistical Mechanics · Physics 2015-03-24 Jordan M. Horowitz

Szilard's one-molecule engine is operated by a Maxwell's demon attempting to convert heat to work. It is argued here that when using the demon to relate information to work (Landauer's principle), the demon's goal must be regarded as an…

History and Philosophy of Physics · Physics 2015-04-29 J. H. van Hateren

Understanding and manipulating work fluctuations in microscale and nanoscale systems are of both fundamental and practical interest. For example, aspects of work fluctuations will be an important factor in designing nanoscale heat engines.…

Statistical Mechanics · Physics 2014-11-26 Gaoyang Xiao , Jiangbin Gong

We show that the conventional Jarzynski equality does not hold for a system prepared in a microcanonical ensemble. We derive a modified equality that connects microcanonical work fluctuations to entropy production, in an analogous way to…

Statistical Mechanics · Physics 2025-01-15 L. A. Williamson

Thermodynamics constrains changes to the energy of a system, both deliberate and random, via its first and second laws. When the system is not in equilibrium, fluctuation theorems such as the Jarzynski equality further restrict the…

Brownian information engines can extract work from thermal fluctuations by utilizing information. So far, the studies on Brownian information engines consider the system in a thermal bath; however, many processes in nature occur in a…

Statistical Mechanics · Physics 2022-07-26 Govind Paneru , Sandipan Dutta , Hyuk Kyu Pak

Jensen's Inequality (JIEQ) has proved to be a major tool to prove the consistency of various fluctuation theorems with the second law in microscopic thermodynamics. We show that the situation is far from clear and the reliance on the JIE…

Statistical Mechanics · Physics 2020-08-26 P. D. Gujrati

We compute the entropy reduction in feedback controlled systems due to the repeated operation of the controller. This was the lacking ingredient to establish the thermodynamics of these systems, and in particular of Maxwell's demons. We…

Statistical Mechanics · Physics 2009-04-12 F. J. Cao , M. Feito

In apparent contradiction to the laws of thermodynamics, Maxwell's demon is able to cyclically extract work from a system in contact with a thermal bath exploiting the information about its microstate. The resolution of this paradox…

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

It has recently been shown that the Jarzynski equality gets modified, when there are experimental errors in computing work. This modified result also holds good in presence of feedback. In this work, we use a simple toy model, that of a…

Statistical Mechanics · Physics 2016-09-05 Sourabh Lahiri , Arun M. Jayannavar

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

Three different approaches to derive mutual information via thermodynamics are presented where the temperature-dependent energy is given by: (a) $\beta \mathcal{E} = -\ln[P(X,Y)]$, (b) $\beta \mathcal{E} =-\ln[P(Y|X)]$ or (c) $\beta…

Statistical Mechanics · Physics 2010-03-24 Yitzhak Peleg , Hadar Efraim , Ori Shental , Ido Kanter

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 suggest and discuss a simple model of an ideal gas under the piston to gain an insight into the workings of the Jarzynski identity connecting the average exponential of the work over the non-equilibrium trajectories with the equilibrium…

Statistical Mechanics · Physics 2007-05-23 R. C. Lua , A. Y. Grosberg

We present a generalization of Jarzynski's Equality, applicable to quantum systems, relating discretized mechanical work and free-energy changes. The theory is based on a step-wise pulling protocol. We find that work distribution functions…

Quantum Physics · Physics 2012-09-21 Van A. Ngo , Stephan Haas

The crucial condition in the derivation of the Jarzynski equality (JE) from the fluctuation theorem is that the time integral of the phase space contraction factor can be exactly expressed as the entropy production resulting from the heat…

Statistical Mechanics · Physics 2015-06-25 Z. C. Tu , Zicong Zhou

We present a pedagogical review of the fundamental concepts in thermodynamics of information, by focusing on the second law of thermodynamics and the entropy production. Especially, we discuss the relationship among thermodynamic…

Statistical Mechanics · Physics 2017-12-20 Takahiro Sagawa
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