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It is generally admitted in thermodynamics that, for a given change in volume, the work done by a system is greater in conditions of reversibility than in conditions of irreversibility. If the basic conventions of physics are strictly…

General Physics · Physics 2007-10-31 Jean-Louis Tane

Connections between information theory and thermodynamics have proven to be very useful to establish bounding limits for physical processes. Ideas such as Landauer's erasure principle and information assisted work extraction have greatly…

Quantum Physics · Physics 2013-12-17 Kaonan Micadei , Roberto M. Serra , Lucas C. Celeri

We describe recent progress towards deriving the Fundamental Laws of thermodynamics (the 0th, 1st and 2nd Law) from nonequilibrium quantum statistical mechanics in simple, yet physically relevant models. Along the way, we clarify some basic…

Mathematical Physics · Physics 2007-05-23 Walid K. Abou Salem , Juerg Froehlich

We present an experiment in which a one-bit memory is constructed, using a system of a single colloidal particle trapped in a modulated double-well potential. We measure the amount of heat dissipated to erase a bit and we establish that in…

Statistical Mechanics · Physics 2019-09-06 Antoine Bérut , Artyom Petrosyan , Sergio Ciliberto

By considering an explicit nonequilibrium model, we analyze the statistics of the irreversible work, $w_{\rm irr}$, and irreversible entropy production, $\Delta_i s$, within the stochastic energetics framework. Restating the second law of…

Statistical Mechanics · Physics 2022-12-21 Pedro V. Paraguassú , Lucianno Defaveri , Silvio M. Duarte Queirós , Welles A. M. Morgado

Landauer's principle sets fundamental thermodynamical constraints for classical and quantum information processing, thus affecting not only various branches of physics, but also of computer science and engineering. Despite its importance,…

To make clear several issues relating with the thermodynamics of computations, we perform a simulation of a binary device using a Langevin equation. Based on our numerical results, we consider how to estimate thermodynamic entropy of…

chao-dyn · Physics 2019-08-17 Nobuko Fuchikami , Hijiri Iwata , Shunya Ishioka

Nonequilibrium information thermodynamics determines the minimum energy dissipation to reliably erase memory under time-symmetric control protocols. We demonstrate that its bounds are tight and so show that the costs overwhelm those implied…

Statistical Mechanics · Physics 2021-04-28 Gregory W. Wimsatt , Alexander B. Boyd , Paul M. Riechers , James P. Crutchfield

Second law of thermodynamics can be apparently violated for systems whose dynamics depends on acquired information by measurement. However, when one consider measurement and erasure process together along with the system it saves the second…

Statistical Mechanics · Physics 2016-11-08 Shubhashis Rana , A. M. Jayannavar

The erasure of a classical bit of information is a dissipative process. The minimum heat produced during this operation has been theorized by Rolf Landauer in 1961 to be equal to $k_B T \ln 2$ and takes the name of Landauer limit, Landauer…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Igor Neri , Miquel López-Suárez

Information-theoretic approaches provide a promising avenue for extending the laws of thermodynamics to the nanoscale. Here, we provide a general fundamental lower limit, valid for systems with an arbitrary Hamiltonian and in contact with…

Quantum Physics · Physics 2018-05-08 Philippe Faist , Renato Renner

In the recent progress in nonequilibrium thermodynamics, information has been recognized as a kind of thermodynamic resource that can drive thermodynamic current without any direct energy injection. In this paper, we establish the framework…

Statistical Mechanics · Physics 2016-11-22 Shumpei Yamamoto , Sosuke Ito , Naoto Shiraishi , Takahiro Sagawa

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

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

Landauer's principle asserts that any computation has an unavoidable energy cost that grows proportionally to its degree of logical irreversibility. But even a logically reversible operation, when run on a physical processor that operates…

Quantum Physics · Physics 2021-05-31 Giulio Chiribella , Yuxiang Yang , Renato Renner

Isothermal processes of a finitely extended, driven quantum system in contact with an infinite heat bath are studied from the point of view of quantum statistical mechanics. Notions like heat flux, work and entropy are defined for…

Mathematical Physics · Physics 2015-06-26 Walid K. Abou Salem , Juerg Froehlich

Quantum Landauer's principle provides a fundamental lower bound for energy dissipation occurred with information erasure in the quantum regime. While most studies have related the entropy reduction incorporated with the erasure to the lower…

Quantum Physics · Physics 2022-04-29 Kazunari Hashimoto , Chikako Uchiyama

Landauer's erasure principle states that the irreversible erasure of a one-bit memory, embedded in a thermal environment, is accompanied with a work input of at least $k_{\text{B}}T\ln2$. Fundamental to that principle is the assumption that…

Statistical Mechanics · Physics 2019-01-31 Jan Klaers

In recent years we have witnessed a concentrated effort to make sense of thermodynamics for small-scale systems. One of the main difficulties is to capture a suitable notion of work that models realistically the purpose of quantum machines,…

Quantum Physics · Physics 2016-11-23 R. Gallego , J. Eisert , H. Wilming

We study thermodynamic limits when controllers operate with only partial observability of internal correlations in multipartite systems. Understanding the costs imposed by lack of information is crucial in settings where agents must act…

Statistical Mechanics · Physics 2025-09-25 Akihito Sudo
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