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As early as 1867, two years after the introduction of the concept of entropy by Clausius, Maxwell showed that the limitations imposed by the second law of thermodynamics depend on the information that one possesses about the state of a…

Statistical Mechanics · Physics 2023-06-23 Juan M. R. Parrondo

The influence of dissipation on the fluctuation statistics of the total energy is investigated through both a phenomenological and a stochastic model for dissipative energy-transfer through a cascade of states. In equilibrium the states…

Statistical Mechanics · Physics 2013-06-27 Eric Bertin , Peter C. W. Holdsworth

Adiabatic measurements, followed by feedback and erasure protocols, have often been considered as a model to embody Maxwell's Demon paradox and to study the interplay between thermodynamics and information processing. Such studies have led…

Quantum Physics · Physics 2025-02-11 Shintaro Minagawa , M. Hamed Mohammady , Kenta Sakai , Kohtaro Kato , Francesco Buscemi

We investigate the extraction of thermodynamic work by a Maxwell's demon in a multipartite quantum correlated system. We begin by adopting the standard model of a Maxwell's demon as a Turing machine, either in a classical or quantum setup…

Quantum Physics · Physics 2014-12-10 Helena C. Braga , Clodoaldo C. Rulli , Thiago R. de Oliveira , Marcelo S. Sarandy

The efficiency statistics of a small thermodynamic machine has been recently investigated assuming that the total dissipation was a linear combination of two currents: the input and output currents. Here, we relax this standard assumption…

Statistical Mechanics · Physics 2016-05-16 Hadrien Vroylandt , Anthony Bonfils , Gatien Verley

This article explores the connections between controllability, control energy, information, and entropy in the context of linear dynamical systems, using the damped harmonic oscillator as a case study. We analytically derive the…

Optimization and Control · Mathematics 2025-07-15 Gabriel R. de Andrade Silva

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

We study the transport properties of an overdamped Brownian particle which is simultaneously in contact with two thermal baths. The first bath is modeled by an additive thermal noise at temperature $T_A$. The second bath is associated with…

Statistical Mechanics · Physics 2015-05-18 Raishma Krishnan , Sanjay Puri , Arun M. Jayannavar

We argue that Maxwell's demon is incapable of creating a nonzero temperature difference. Hence, it does not destroy equilibrium and the second law is never at risk, contrary to the claim by Maxwell and accepted by many. It is therefore…

Statistical Mechanics · Physics 2022-05-09 P. D. Gujrati

In recent advances in finite-time thermodynamics, optimization of entropy production required for finite-time information processing is an important issue. In this work, we consider finite-time feedback processes in classical discrete…

Statistical Mechanics · Physics 2025-03-18 Rihito Nagase , Takahiro Sagawa

In small systems where relevant energies are comparable to thermal agitation, fluctuations are of the order of average values. In systems in thermodynamical equilibrium, the variance of these fluctuations can be related to the dissipation…

Statistical Mechanics · Physics 2007-05-23 Nicolas Garnier , Ciliberto Sergio

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…

A precise definition for a quantum electron thermometer is given, as an electron reservoir coupled locally (e.g., by tunneling) to a sample, and brought into electrical and thermal equilibrium with it. A realistic model of a scanning…

Mesoscale and Nanoscale Physics · Physics 2013-05-08 Justin P. Bergfield , Shauna M. Story , Robert C. Stafford , Charles A. Stafford

We consider overdamped physical systems evolving under a feedback-controlled fluctuating potential and in contact with a thermal bath at temperature $T$. A Markovian description of the dynamics, which keeps only the last value of the…

Statistical Mechanics · Physics 2026-02-12 Natalia Ruiz-Pino , Antonio Prados

Thermodynamic principles governing energy and information are important tools for a deeper understanding and better control of quantum systems. In this work, we experimentally investigate the interplay of the thermodynamic costs and…

We introduce a Maxwell demon which generates many-body entanglement robustly against bit-flip noises, which allows us to obtain quantum advantage. Adopting the protocol of the voter model used for opinion dynamics approaching consensus, the…

Statistical Mechanics · Physics 2022-04-13 Sungguen Ryu , Rosa López , Raúl Toral

Physical systems driven away from equilibrium by an external controller dissipate heat to the environment; the excess entropy production in the thermal reservoir can be interpreted as a "cost" to transform the system in a finite time. The…

Statistical Mechanics · Physics 2024-12-31 Jérémie Klinger , Grant M. Rotskoff

The Landauer principle states that decrease in entropy of a system, inevitably leads to a dissipation of heat to the environment. This statement is usually established by considering the system to be in contact with an environment that is…

Quantum Physics · Physics 2024-10-18 Sayan Mondal , Aparajita Bhattacharyya , Ahana Ghoshal , Ujjwal Sen

The most succinct manifestation of the second law of thermodynamics is the limitation the Landauer principle imposes on the amount of heat a Maxwell demon (MD) can convert into free energy per single bit of information obtained in a…

Mesoscale and Nanoscale Physics · Physics 2015-01-29 J. V. Koski , V. F. Maisi , J. P. Pekola , D. V. Averin

By using Newtonian mechanics, we construct a general model of Maxwell's demon, a system in which the engine and the memory interact only through the exchange of information. We show that the Jarzynski relation and the two Sagawa-Ueda…

Statistical Mechanics · Physics 2013-08-20 Hal Tasaki
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