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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

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

This paper provides a perspective on applying the concepts of information thermodynamics, developed recently in non-equilibrium statistical physics, to problems in theoretical neuroscience. Historically, information and energy in…

Neurons and Cognition · Quantitative Biology 2024-09-27 Jan Karbowski

In this work, we consider an upper bound for the quantum mutual information in thermal states of a bipartite quantum system. This bound is related with the interaction energy and logarithm of the partition function of the system. We…

Quantum Physics · Physics 2015-03-20 Aleksey Fedorov , Evgeny Kiktenko

We propose a unified theoretical framework for quantifying spatio-temporal interactions in a stochastic dynamical system based on information geometry. In the proposed framework, the degree of interactions is quantified by the divergence…

Neurons and Cognition · Quantitative Biology 2016-12-08 Masafumi Oizumi , Naotsugu Tsuchiya , Shun-ichi Amari

The ubiquity of information transmission via molecular communication between cells is comprehensively documented on Earth; this phenomenon might even have played a vital role in the origin(s) and early evolution of life. Motivated by these…

Earth and Planetary Astrophysics · Physics 2024-01-26 Manasvi Lingam

The interaction between the flow above and below a permeable wall is a central topic in the study of porous media. While previous investigations have provided compelling evidence of the strong coupling between the two regions, few studies…

Fluid Dynamics · Physics 2021-07-07 Wenkang Wang , Xu Chu , Adrián Lozano-Durán , Rainer Helmig , Bernhard Weigand

Quantum physics predicts that there is a fundamental maximum heat conductance across a single transport channel, and that this thermal conductance quantum $G_Q$ is universal, independent of the type of particles carrying the heat. Such…

Mesoscale and Nanoscale Physics · Physics 2015-03-02 S. Jezouin , F. D. Parmentier , A. Anthore , U. Gennser , A. Cavanna , Y. Jin , F. Pierre

Thermodynamic entropy is not an entirely satisfactory measure of information of a quantum state. This entropy for an unknown pure state is zero, although repeated measurements on copies of such a pure state do communicate information. In…

Quantum Physics · Physics 2015-06-26 Subhash Kak

Aiming at some problems existing in the current quality of service (QoS) mechanism of large-scale networks (i.e. poor scalability, coarse granularity for provided service levels, poor fairness between different service levels, and improving…

Networking and Internet Architecture · Computer Science 2023-05-16 Bo Li , Ke Sun , Zhongjiang Yan , Mao Yang

We theoretically investigate the flow of information in an interacting two-skyrmion system confined in a box at finite temperature. By numerical simulations based on the Thiele-Langevin equation, we demonstrate that the skyrmion motion…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Tenta Tani , Soma Miki , Hiroki Mori , Minori Goto , Yoshishige Suzuki , Eiiti Tamura

Physical systems that power motion and create structure in a fixed amount of time dissipate energy and produce entropy. Whether living or synthetic, systems performing these dynamic functions must balance dissipation and speed. Here, we…

Statistical Mechanics · Physics 2020-12-18 Schuyler B. Nicholson , Luis Pedro Garcia-Pintos , Adolfo del Campo , Jason R. Green

We present an experimental and numerical study of immiscible two-phase flow in 3-dimensional (3D) porous media to find the relationship between the volumetric flow rate ($Q$) and the total pressure difference ($\Delta P$) in the steady…

While information theory has been introduced to characterize the fundamental limitations of control and filtering for a few decades, the existing information-theoretic methods are indirect and cumbersome for analyzing the limitations of…

Information Theory · Computer Science 2026-02-03 Neng Wan , Dapeng Li , Naira Hovakimyan

Stochastic information flow (SIF) quantifies information flow at the trajectory level, overcoming the limitations of conventional symmetric, ensemble-averaged measures. However, computational difficulties have hindered the empirical…

Statistical Mechanics · Physics 2026-05-14 Yongjae Oh , Euijoon Kwon , Yongjoo Baek

We construct a boundary integral representation for the low-Reynolds-number flow in a channel in the presence of freely-suspended particles (or droplets) of arbitrary size and shape. We demonstrate that lubrication theory holds away from…

Fluid Dynamics · Physics 2018-01-17 Itzhak Fouxon , Zhouyang Ge , Luca Brandt , Alexander Leshansky

To study the dynamics of particles in turbulence when their sizes are comparable to the smallest eddies in the flow, the Kolmogorov length scale, efficient and accurate numerical models for the particle-fluid interaction are still missing.…

Fluid Dynamics · Physics 2018-02-28 Toshiaki Fukada , Walter Fornari , Luca Brandt , Shintaro Takeuchi , Takeo Kajishima

Pairwise interactions between individuals are taken as fundamental drivers of collective behavior responsible for group cohesion and decision-making. While an individual directly influences only a few neighbors, over time indirect…

Adaptation and Self-Organizing Systems · Physics 2022-04-12 Sulimon Sattari , Udoy S. Basak , Ryan G. James , James P. Crutchfield , Tamiki Komatsuzaki

Shannon-Hartley theorem can accurately calculate the channel capacity when the signal observation time is infinite. However, the calculation of finite-time mutual information, which remains unknown, is essential for guiding the design of…

Information Theory · Computer Science 2022-10-05 Jieao Zhu , Zijian Zhang , Zhongzhichao Wan , Linglong Dai

We present a general theory of quantum information propagation in chaotic quantum many-body systems. The generic expectation in such systems is that quantum information does not propagate in localized form; instead, it tends to spread out…

Statistical Mechanics · Physics 2020-11-05 Josiah Couch , Stefan Eccles , Phuc Nguyen , Brian Swingle , Shenglong Xu