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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…

Statistical Mechanics · Physics 2013-11-07 Sosuke Ito , Takahiro Sagawa

Landauer's principle provides a perspective on the physical meaning of information as well as on the minimum working cost of information processing. Whereas most studies have related the decrease in entropy during a computationally…

Quantum Physics · Physics 2020-06-18 Kazunari Hashimoto , Bassano Vacchini , Chikako Uchiyama

The Onsager reciprocal relations are established within the phenomenological framework of the thermodynamics of irreversible processes. In order to do so, the dissipated power densities associated to scalar and vectorial processes are…

Statistical Mechanics · Physics 2022-10-11 Sylvain D. Brechet

We demonstrate that irreversibility arises from the principle of microscopic reversibility and the presence of memory in the time evolution of a single copy of a system driven by a protocol. We introduce microscopic reversibility by using…

Statistical Mechanics · Physics 2015-11-30 J. Ricardo Arias-Gonzalez

We present Onsager formalism applied to random networks with arbitrary degree distribution. Using the well-known methods of non-equilibrium thermodynamics we identify thermodynamic forces and their conjugated flows induced in networks as a…

Disordered Systems and Neural Networks · Physics 2015-05-13 Agata Fronczak , Piotr Fronczak , Janusz A. Holyst

Adaptive physical and biological systems continually process fluctuating information from their environments. When the environment is nonstationary, inference itself becomes a nonequilibrium process with thermodynamic cost. We analyse a…

Statistical Mechanics · Physics 2026-03-23 Aditya Gupta

Onsager's reciprocity relations for the coefficients of transport equations are now 87 years old. Sometimes these relations are called the Fourth Law of Thermodynamics. Among others they provide an effective criterion for the existence of…

Other Condensed Matter · Physics 2018-10-09 Klaus Stierstadt

We apply the model of minimally nonlinear irreversible heat engines developed by Izumida and Okuda [EPL {\bf 97}, 10004 (2012)] to refrigerators. The model assumes extended Onsager relations including a new nonlinear term accounting for…

Statistical Mechanics · Physics 2015-06-05 Y. Izumida , K. Okuda , A. Calvo Hernández , J. M. M. Roco

How do organisms recognize their environment by acquiring knowledge about the world, and what actions do they take based on this knowledge? This article examines hypotheses about organisms' adaptation to the environment from machine…

Neurons and Cognition · Quantitative Biology 2019-03-01 Hideaki Shimazaki

We develop a thermodynamic theory of algorithmic catalysis within the watts-per-intelligence framework, identifying reusable computational structures that reduce irreversible operations for a task class while satisfying bounded restoration…

Information Theory · Computer Science 2026-04-24 Elija Perrier

The unavoidable irreversible losses of power in a heat engine are found to be of quantum origin. Following thermodynamic tradition a model quantum heat engine operating by the Otto cycle is analyzed. The working medium of the model is…

Quantum Physics · Physics 2009-11-13 Yair Rezek , Ronnie Kosloff

While Landauer's Principle sets a lower bound for the work required for a computation, that work is recoverable for efficient computations. However, practical physical computers, such as modern digital computers or biochemical systems, are…

Statistical Mechanics · Physics 2021-04-27 Alexander B. Boyd , Paul M. Riechers , Gregory W. Wimsatt , James P. Crutchfield , Mile Gu

We investigate fundamental connections between thermodynamics and quantum information theory. First, we show that the operational framework of thermal operations is nonequivalent to the framework of Gibbs-preserving maps, and we comment on…

Quantum Physics · Physics 2016-07-13 Philippe Faist

In a thermodynamic process with measurement and feedback, the second law of thermodynamics is no longer valid. In its place, various second-law-like inequalities have been advanced that each incorporate a distinct additional term accounting…

Statistical Mechanics · Physics 2015-06-22 Jordan M. Horowitz , Henrik Sandberg

In this paper we show that Onsager--Machlup time reversal properties of thermodynamic fluctuations and Onsager reciprocity relations for transport coefficients can hold also if the microscopic dynamics is not reversible. This result is…

adap-org · Physics 2012-08-29 D. Gabrielli , G. Jona-Lasinio , C. Landim

One of the fundamental issues in the field of open quantum systems is the classification and quantification of non-Markovianity. In the contest of quantity-based measures of non-Markovianity, the intuition of non-Markovianity in terms of…

Quantum Physics · Physics 2018-01-24 Hong-Bin Chen , Guang-Yin Chen , Yueh-Nan Chen

Producing useful electrical work in consuming chemical energy, the fuel cell have to reject heat to its surrounding. However, as it occurs for any other type of engine, this thermal energy cannot be exchanged in an isothermal way in finite…

Chemical Physics · Physics 2010-08-31 A. Vaudrey , P. Baucour , F. Lanzetta , R. Glises

We describe a thermodynamic-inspired computing paradigm based on oscillatory neural networks (ONNs). While ONNs have been widely studied as Ising machines for tackling complex combinatorial optimization problems, this work investigates…

Machine Learning · Computer Science 2025-07-31 George Tsormpatzoglou , Filip Sabo , Aida Todri-Sanial

We establish an exact identity for overdamped Langevin dynamics: the total entropy production rate equals four times the mutual information rate between an infinitesimal displacement and its time midpoint, plus a mean flow term. This yields…

Statistical Mechanics · Physics 2026-04-23 Doohyeong Cho , Hawoong Jeong

The classic Landauer bound can be lowered when erasure errors are permitted. Here we point out that continuous phase transitions characterized by an order parameter can also be viewed as information erasure by resetting a certain number of…

Disordered Systems and Neural Networks · Physics 2014-05-30 M. C. Diamantini , C. A. Trugenberger