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Information erasure at the molecular scale during the depolymerization of copolymers is shown to require a minimum entropy production in accordance with Landauer's principle and as a consequence of the second law of thermodynamics. This…

Statistical Mechanics · Physics 2015-06-16 David Andrieux , Pierre Gaspard

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

Landauer's principle states that the erasure of one bit of information requires the free energy kT ln 2. We argue that the reliability of the bit erasure process is bounded by the accuracy inherent in the statistical state of the energy…

Quantum Physics · Physics 2007-05-23 Dominik Janzing , Pawel Wocjan , Robert Zeier , Rubino Geiss , Thomas Beth

An apparent violation of the second law of thermodynamics occurs when an atom coupled to a zero-temperature bath, being necessarily in an excited state, is used to extract work from the bath. Here the fallacy is that it takes work to couple…

Quantum Physics · Physics 2009-11-13 G. W. Ford , R. F. O'Connell

Systems that are driven by a randomly timed, external protocol can seemingly violate the second law of thermodynamics. We show that this thermodynamic paradox is resolved if the outcome of the random time is stored in a memory device.…

Statistical Mechanics · Physics 2025-10-28 Izaak Neri

Motivated by the recent proposed models of the information engine [D. Mandal and C. Jarzynski, Proc. Natl. Acad. Sci. 109, 11641 (2012)] and the information refrigerator [D. Mandal, H. T. Quan, and C. Jarzynski, Phys. Rev. Lett. 111, 030602…

Statistical Mechanics · Physics 2015-06-30 Yuansheng Cao , Zongping Gong , H. T. Quan

Evidence implies that basic laws of thermodynamics must be tested by experiments. In this paper, an experiment is designed to measure the entropy of a system with at least one known (measurable) equation of state, especially the gas…

General Physics · Physics 2007-05-23 Bin Zhou

The averaged steady-state surprisal links a driven stochastic system's information processing to its nonequilibrium thermodynamic response. By explicitly accounting for the effects of nonequilibrium steady states, a decomposition of the…

Statistical Mechanics · Physics 2023-06-07 Mikhael T. Semaan , James P. Crutchfield

We consider the statistical irreversibility and its compatibility with the reversible dynamics. The role played by the observation is analyzed in detail. It makes our previous proof for the second law of thermodynamics clearer. On this…

Statistical Mechanics · Physics 2012-02-24 Qi-Ren Zhang

We review and investigate the general theory of thermodynamics of computation, and derive the fundamental inequalities that set the lower bounds of the work requirement and the heat emission during a computation. These inequalities…

Statistical Mechanics · Physics 2015-06-17 Takahiro Sagawa

We investigate a measurement-feedback process of repeated operations with time delay. During a finite-time interval, measurement on the system is performed and the feedback protocol derived from the measurement outcome is applied with time…

Statistical Mechanics · Physics 2020-01-08 Chulan Kwon , Jaegon Um , Hyunggyu Park

The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of entropy in irreversible adiabatic processes that take one equilibrium state to another. The entropy…

Soft Condensed Matter · Physics 2009-10-30 Elliott H. Lieb , Jakob Yngvason

Several models of quantum open systems are known at present to violate, according to principles of the standard quantum theory of open systems, the second law of thermodynamics. Here, a new and rather trivial model of another type is…

Statistical Mechanics · Physics 2007-05-23 V. Capek

Landauer's "principle" claims that erasing one bit of information necessarily dissipates at least Tln2 of heat into the surroundings, making a possibly logically irreversible operation also thermodynamically irreversible. It is commonly…

General Physics · Physics 2024-12-02 Didier Lairez

An important step to incorporate information in the second law of thermodynamics was done by Landauer, showing that the erasure of information implies an increase in heat. Most attempts to justify Landauer's erasure principle are based on…

Statistical Mechanics · Physics 2023-04-04 Xavier Oriols , Hrvoje Nikolić

The second law of thermodynamics states that the entropy of an isolated system is almost always increasing. We propose combinatorial formalizations of the second law and explore their conditions of possibilities.

Combinatorics · Mathematics 2017-06-27 Rafael Diaz , Sergio Villamarin

This paper is a non-technical, informal presentation of our theory of the second law of thermodynamics as a law that is independent of statistical mechanics and that is derivable solely from certain simple assumptions about adiabatic…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Jakob Yngvason

Information dynamics is an emerging description of information processing in complex systems which describes systems in terms of intrinsic computation, identifying computational primitives of information storage and transfer. In this paper…

Statistical Mechanics · Physics 2018-10-03 Richard E. Spinney , Joseph T. Lizier , Mikhail Prokopenko

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

A major part of the many thermally driven processes in our natural environment as well as in engineering solutions of Carnot-type machinery is based on the second law of thermodynamics (or principle of entropy increase). An interesting link…

General Physics · Physics 2010-09-29 Hans R. Moser