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We establish the fluctuation theorem in the presence of information exchange between a nonequilibrium system and other degrees of freedom such as an observer and a feedback controller, where the amount of information exchange is added to…

统计力学 · 物理学 2015-06-05 Takahiro Sagawa , Masahito Ueda

In view of the relation between information and thermodynamics we investigate how much information about an external protocol can be stored in the memory of a stochastic measurement device given an energy budget. We consider a layered…

定量方法 · 定量生物学 2015-07-28 Stefano Bo , Marco Del Giudice , Antonio Celani

Fluctuations in biochemical networks, e.g., in a living cell, have a complex origin that precludes a description of such systems in terms of bipartite or multipartite processes, as is usually done in the framework of stochastic and/or…

统计力学 · 物理学 2020-01-29 R. Chétrite , M. L. Rosinberg , T. Sagawa , G. Tarjus

Sagawa and Ueda established a fluctuation theorem of information exchange by revealing the role of correlations in stochastic thermodynamics and unified the non-equilibrium thermodynamics of measurement and feedback control [T. Sagawa and…

统计力学 · 物理学 2019-03-26 Lee Jinwoo

We study nonequilibrium thermodynamics of complex information flows induced by interactions between multiple fluctuating systems. Characterizing nonequilibrium dynamics by causal networks (i.e., Bayesian networks), we obtain novel…

统计力学 · 物理学 2013-11-07 Sosuke Ito , Takahiro Sagawa

For sensory networks, we determine the rate with which they acquire information about the changing external conditions. Comparing this rate with the thermodynamic entropy production that quantifies the cost of maintaining the network, we…

统计力学 · 物理学 2013-04-08 A. C. Barato , D Hartich , U. Seifert

We generalize stochastic thermodynamics to include information reservoirs. Such information reservoirs, which can be modeled as a sequence of bits, modify the second law. For example, work extraction from a system in contact with a single…

统计力学 · 物理学 2014-11-17 Andre C. Barato , Udo Seifert

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…

统计力学 · 物理学 2018-10-03 Richard E. Spinney , Joseph T. Lizier , Mikhail Prokopenko

We discuss the relevance of information contained in cross-correlations among different degrees of freedom, which is crucial in non-equilibrium systems. In particular we consider a stochastic system where two degrees of freedom $X_1$ and…

统计力学 · 物理学 2015-06-04 Andrea Crisanti , Andrea Puglisi , Dario Villamaina

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

In this article, we review a general theoretical framework of thermodynamics of information on the basis of Bayesian networks. This framework can describe a broad class of nonequilibrium dynamics of multiple interacting systems with complex…

统计力学 · 物理学 2018-07-23 Sosuke Ito , Takahiro Sagawa

So far, feedback-driven systems have been discussed using (i) measurement and control, (ii) a tape interacting with a system or (iii) by identifying an implicit Maxwell demon in steady state transport. We derive the corresponding second…

统计力学 · 物理学 2014-03-05 A. C. Barato , U. Seifert

Systems with interacting degrees of freedom play a prominent role in stochastic thermodynamics. Our aim is to use the concept of detached path probabilities and detached entropy production for bipartite Markov processes and elaborate on a…

统计力学 · 物理学 2017-10-17 Jannik Ehrich , Andreas Engel

In this paper, we analyze the relationship between entropy and information in the context of the mixing process of two identical ideal gases. We will argue that entropy has a special information-based feature that is enfolded in the…

量子物理 · 物理学 2015-06-26 Afshin Shafiee , Majid Karimi

Thermodynamics is based on the notions of energy and entropy. While energy is the elementary quantity governing physical dynamics, entropy is the fundamental concept in information theory. In this work, starting from first principles, we…

统计力学 · 物理学 2017-10-25 Bernhard Altaner

Fluctuation theorems impose fundamental bounds in the statistics of the entropy production, with the second law of thermodynamics being the most famous. Using information theory, we quantify the information of entropy production and find an…

量子物理 · 物理学 2021-02-17 Domingos S. P. Salazar

In this paper we develop a generalized formalism for equilibrium thermodynamic systems when an information is shared between the system and the reservoir. The information results in a correction to the entropy of the system. This extension…

统计力学 · 物理学 2013-05-10 Alessio Gagliardi , Aldo Di Carlo

The concept of entropy in nonequilibrium macroscopic systems is investigated in the light of an extended equation of motion for the density matrix obtained in a previous study. It is found that a time-dependent information entropy can be…

统计力学 · 物理学 2009-11-10 W. T. Grandy

Systems driven away from thermal equilibrium constantly deliver entropy to their environment. Determining this entropy production requires detailed information about the system's internal states and dynamics. However, in most practical…

统计力学 · 物理学 2017-10-03 Gili Bisker , Matteo Polettini , Todd R. Gingrich , Jordan M. Horowitz

Without violating causality, we allow performing measurements in time reverse process of a feedback manipulated stochastic system. As a result we come across an entropy production due to the measurement process. This entropy production, in…

统计力学 · 物理学 2015-06-17 A. Kundu
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