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The standard relations between information theory and thermodynamics are challenged. The Szilard engine is revisited and the bound proposed by Landauer is replaced by a different one which includes errors in information processing. Instead…

量子物理 · 物理学 2014-02-12 Robert Alicki

In an asymmetric Szilard engine model of Maxwell's demon, we show the equivalence between information theoretical and thermodynamic entropies when the demon erases information optimally. The work gain by the engine can be exactly canceled…

经典物理 · 物理学 2011-12-13 Akio Hosoya , Koji Maruyama , Yutaka Shikano

Information plays a pivotal role in the thermodynamics of nonequilibrium processes with feedback. However, much remains to be learned about the nature of information fluctuations in small scale devices and their relation with fluctuations…

统计力学 · 物理学 2016-12-21 Martin Luc Rosinberg , Jordan M. Horowitz

Understanding the connections between information and thermodynamics has been among the most visible applications of stochastic thermodynamics. While recent theoretical advances have established that the second law of thermodynamics sets…

统计力学 · 物理学 2021-10-22 Joseph N. E. Lucero , Jannik Ehrich , John Bechhoefer , David A. Sivak

The information-thermodynamics link is revisited, going back to the analysis of Szilard's engine. It is argued that instead of equivalence rather complementarity of physical entropy and information theoretical one is a correct concept.…

量子物理 · 物理学 2014-06-24 Robert Alicki

Landauer's principle, often regarded as the foundation of the thermodynamics of information processing, holds that any logically irreversible manipulation of information, such as the erasure of a bit or the merging of two computation paths,…

经典物理 · 物理学 2011-01-11 Charles H. Bennett

The gedanken experiment of Maxwell's demon has led to the studies concerning the foundations of thermodynamics and statistical mechanics. The demon measures fluctuations of a system's observable and converts the information gain into work…

量子物理 · 物理学 2018-05-09 Y. Masuyama , K. Funo , Y. Murashita , A. Noguchi , S. Kono , Y. Tabuchi , R. Yamazaki , M. Ueda , Y. Nakamura

We study a dynamical system with time dependent Hamiltonian by numerical experiments so as to find a relation between thermodynamics and chaotic nature of the system. Excess information loss, defined newly based on Lyapunov analysis, is…

chao-dyn · 物理学 2009-10-31 S. Sasa , T. S. Komatsu

We report two results complementing the second law of thermodynamics for Markovian open quantum systems coupled to multiple reservoirs with different temperatures and chemical potentials. First, we derive a nonequilibrium free energy…

统计力学 · 物理学 2019-04-18 Krzysztof Ptaszynski , Massimiliano Esposito

In recent years, the unified theory of information and thermodynamics has been intensively discussed in the context of stochastic thermodynamics. The unified theory reveals that information theory would be useful to understand…

统计力学 · 物理学 2018-07-23 Sosuke Ito

Physical systems are often simulated using a stochastic computation where different final states result from identical initial states. Here, we derive the minimum energy cost of simulating a complex data set of a general physical system…

数据分析、统计与概率 · 物理学 2015-05-30 Karoline Wiesner , Mile Gu , Elisabeth Rieper , Vlatko Vedral

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…

统计力学 · 物理学 2023-06-07 Mikhael T. Semaan , James P. Crutchfield

Thermodynamics and information have intricate interrelations. Often thermodynamics is considered to be the logical premise to justify that information is physical - through Landauer's principle -, thereby also linking information and…

Maxwellian ratchets are autonomous, finite-state thermodynamic engines that implement input-output informational transformations. Previous studies of these "demons" focused on how they exploit environmental resources to generate work: They…

统计力学 · 物理学 2020-09-02 Alexandra M. Jurgens , James P. Crutchfield

We review of the interface between (theoretical) physics and information for non-experts. The origin of information as related to the notion of entropy is described, first in the context of thermodynamics then in the context of statistical…

经典物理 · 物理学 2007-12-18 F. Alexander Bais , J. Doyne Farmer

In the present paper, we study the power output and efficiency of overdamped stochastic thermodynamic engines that are in contact with a heat bath having a temperature that varies periodically with time. This is in contrast to most of the…

Information based thermodynamic logic is revisited. It consists of two parts: Part A applies the modern theory of probability in which an arbitrary convex function \phi is employed as an analytic "device" to express information as…

统计力学 · 物理学 2023-12-07 Bing Miao , Hong Qian , Yong-Shi Wu

A basic task of information processing is information transfer (flow). Here we study a pair of Brownian particles each coupled to a thermal bath at temperature $T_1$ and $T_2$, respectively. The information flow in such a system is defined…

统计力学 · 物理学 2015-05-13 Armen E. Allahverdyan , Dominik Janzing , Guenter Mahler

The relationship between entropy and information is reviewed, taking into account that information is stored in macroscopic degrees of freedom, such as the order parameter in a system exhibiting spontaneous symmetry breaking. It is shown…

统计力学 · 物理学 2009-10-31 Juan M. R. Parrondo

In a previous paper [1] we considered the question, "What underlying property of nature is responsible for the second law?" A simple answer can be stated in terms of information: The fundamental loss of information gives rise to the second…

统计力学 · 物理学 2012-02-21 T. L. Duncan , J. S. Semura