Thermodynamics Of Information Processing In Small Systems

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Thermodynamics of Information Processing in Small Systems

Takahiro Sagawa
Thermodynamics of Information Processing in Small Systems Book PDF

Author : Takahiro Sagawa
Publisher : Springer Science & Business Media
Page : 120 pages
File Size : 45,9 Mb
Release : 2012-09-14
Category : Science
ISBN : 9784431541684

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Thermodynamics of Information Processing in Small Systems by Takahiro Sagawa Pdf

This thesis presents a general theory of nonequilibrium thermodynamics for information processing. Ever since Maxwell's demon was proposed in the nineteenth century, the relationship between thermodynamics and information has attracted much attention because it concerns the foundation of the second law of thermodynamics. From the modern point of view, Maxwell's demon is formulated as an information processing device that performs measurement and feedback at the level of thermal fluctuations. By unifying information theory, measurement theory, and the recently developed theory of nonequilibrium statistical mechanics, the author has constructed a theory of "information thermodynamics," in which information contents and thermodynamic variables are treated on an equal footing. In particular, the maximum work that can be extracted by the demon and the minimum work that is needed for measurement and information erasure by the demon has been determined. Additionally, generalizations of nonequilibrium relations such as a Jarzynski equality for classical stochastic systems in the presence of feedback control have been derived. One of the generalized equalities has recently been verified experimentally by using sub-micron colloidal particles. The results obtained serve as fundamental principles for information processing in small thermodynamic systems, and are applicable to nanomachines and nanodevices.

Thermodynamics of Information Processing in Small Systems

Takahiro Sagawa
Thermodynamics of Information Processing in Small Systems Book PDF

Author : Takahiro Sagawa
Publisher : Springer Science & Business Media
Page : 126 pages
File Size : 42,6 Mb
Release : 2012-09-13
Category : Computers
ISBN : 9784431541677

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Thermodynamics of Information Processing in Small Systems by Takahiro Sagawa Pdf

This thesis presents a general theory of nonequilibrium thermodynamics for information processing. Ever since Maxwell's demon was proposed in the nineteenth century, the relationship between thermodynamics and information has attracted much attention because it concerns the foundation of the second law of thermodynamics. From the modern point of view, Maxwell's demon is formulated as an information processing device that performs measurement and feedback at the level of thermal fluctuations. By unifying information theory, measurement theory, and the recently developed theory of nonequilibrium statistical mechanics, the author has constructed a theory of "information thermodynamics," in which information contents and thermodynamic variables are treated on an equal footing. In particular, the maximum work that can be extracted by the demon and the minimum work that is needed for measurement and information erasure by the demon has been determined. Additionally, generalizations of nonequilibrium relations such as a Jarzynski equality for classical stochastic systems in the presence of feedback control have been derived. One of the generalized equalities has recently been verified experimentally by using sub-micron colloidal particles. The results obtained serve as fundamental principles for information processing in small thermodynamic systems, and are applicable to nanomachines and nanodevices.

Thermodynamics and Statistical Mechanics of Small Systems

Andrea Puglisi,Alessandro Sarracino ,Angelo Vulpiani
Thermodynamics and Statistical Mechanics of Small Systems Book PDF

Author : Andrea Puglisi,Alessandro Sarracino ,Angelo Vulpiani
Publisher : MDPI
Page : 335 pages
File Size : 43,6 Mb
Release : 2018-09-04
Category : Electronic
ISBN : 9783038970576

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Thermodynamics and Statistical Mechanics of Small Systems by Andrea Puglisi,Alessandro Sarracino ,Angelo Vulpiani Pdf

This book is a printed edition of the Special Issue "Thermodynamics and Statistical Mechanics of Small Systems" that was published in Entropy

Experiments on the Thermodynamics of Information Processing

Momčilo Gavrilov
Experiments on the Thermodynamics of Information Processing Book PDF

Author : Momčilo Gavrilov
Publisher : Springer
Page : 159 pages
File Size : 52,6 Mb
Release : 2017-08-01
Category : Science
ISBN : 9783319636948

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Experiments on the Thermodynamics of Information Processing by Momčilo Gavrilov Pdf

This thesis reveals how the feedback trap technique, developed to trap small objects for biophysical measurement, could be adapted for the quantitative study of the thermodynamic properties of small systems. The experiments in this thesis are related to Maxwell’s demon, a hypothetical intelligent, “neat fingered” being that uses information to extract work from heat, apparently creating a perpetual-motion machine. The second law of thermodynamics should make that impossible, but how? That question has stymied physicists and provoked debate for a century and a half. The experiments in this thesis confirm a hypothesis proposed by Rolf Landauer over fifty years ago: that Maxwell’s demon would need to erase information, and that erasing information—resetting the measuring device to a standard starting state—requires dissipating as much energy as is gained. For his thesis work, the author used a “feedback trap” to study the motion of colloidal particles in “v irtual potentials” that may be manipulated arbitrarily. The feedback trap confines a freely diffusing particle in liquid by periodically measuring its position and applying an electric field to move it back to the origin.

Information Thermodynamics on Causal Networks and its Application to Biochemical Signal Transduction

Sosuke Ito
Information Thermodynamics on Causal Networks and its Application to Biochemical Signal Transduction Book PDF

Author : Sosuke Ito
Publisher : Springer
Page : 133 pages
File Size : 52,8 Mb
Release : 2016-07-16
Category : Science
ISBN : 9789811016646

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Information Thermodynamics on Causal Networks and its Application to Biochemical Signal Transduction by Sosuke Ito Pdf

In this book the author presents a general formalism of nonequilibrium thermodynamics with complex information flows induced by interactions among multiple fluctuating systems. The author has generalized stochastic thermodynamics with information by using a graphical theory. Characterizing nonequilibrium dynamics by causal networks, he has obtained a novel generalization of the second law of thermodynamics with information that is applicable to quite a broad class of stochastic dynamics such as information transfer between multiple Brownian particles, an autonomous biochemical reaction, and complex dynamics with a time-delayed feedback control. This study can produce further progress in the study of Maxwell’s demon for special cases. As an application to these results, information transmission and thermodynamic dissipation in biochemical signal transduction are discussed. The findings presented here can open up a novel biophysical approach to understanding information processing in living systems.

Stochastic Systems with Time Delay

Sarah A.M. Loos
Stochastic Systems with Time Delay Book PDF

Author : Sarah A.M. Loos
Publisher : Springer Nature
Page : 296 pages
File Size : 43,5 Mb
Release : 2021-09-18
Category : Mathematics
ISBN : 9783030807719

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Stochastic Systems with Time Delay by Sarah A.M. Loos Pdf

The nonequilibrium behavior of nanoscopic and biological systems, which are typically strongly fluctuating, is a major focus of current research. Lately, much progress has been made in understanding such systems from a thermodynamic perspective. However, new theoretical challenges emerge when the fluctuating system is additionally subject to time delay, e.g. due to the presence of feedback loops. This thesis advances this young and vibrant research field in several directions. The first main contribution concerns the probabilistic description of time-delayed systems; e.g. by introducing a versatile approximation scheme for nonlinear delay systems. Second, it reveals that delay can induce intriguing thermodynamic properties such as anomalous (reversed) heat flow. More generally, the thesis shows how to treat the thermodynamics of non-Markovian systems by introducing auxiliary variables. It turns out that delayed feedback is inextricably linked to nonreciprocal coupling, information flow, and to net energy input on the fluctuating level.

Nonequilibrium Statistical Physics of Small Systems

Rainer Klages,Wolfram Just,Christopher Jarzynski
Nonequilibrium Statistical Physics of Small Systems Book PDF

Author : Rainer Klages,Wolfram Just,Christopher Jarzynski
Publisher : John Wiley & Sons
Page : 402 pages
File Size : 51,7 Mb
Release : 2013-03-15
Category : Science
ISBN : 9783527658725

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Nonequilibrium Statistical Physics of Small Systems by Rainer Klages,Wolfram Just,Christopher Jarzynski Pdf

This book offers a comprehensive picture of nonequilibrium phenomena in nanoscale systems. Written by internationally recognized experts in the field, this book strikes a balance between theory and experiment, and includes in-depth introductions to nonequilibrium fluctuation relations, nonlinear dynamics and transport, single molecule experiments, and molecular diffusion in nanopores. The authors explore the application of these concepts to nano- and biosystems by cross-linking key methods and ideas from nonequilibrium statistical physics, thermodynamics, stochastic theory, and dynamical systems. By providing an up-to-date survey of small systems physics, the text serves as both a valuable reference for experienced researchers and as an ideal starting point for graduate-level students entering this newly emerging research field.

Perspectives on Statistical Thermodynamics

Yoshitsugu Oono
Perspectives on Statistical Thermodynamics Book PDF

Author : Yoshitsugu Oono
Publisher : Cambridge University Press
Page : 543 pages
File Size : 50,7 Mb
Release : 2017-12-14
Category : Science
ISBN : 9781107154018

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Perspectives on Statistical Thermodynamics by Yoshitsugu Oono Pdf

This original text develops a deep, conceptual understanding of thermal physics and highlights the important links between statistical physics and classical thermodynamics. It examines how thermal physics fits within physics as a whole, and is perfect for undergraduate and graduate students, and researchers interested in a fresh approach to the subject.

Information Theory

Bertrand Duplantier,Vincent Rivasseau
Information Theory Book PDF

Author : Bertrand Duplantier,Vincent Rivasseau
Publisher : Springer Nature
Page : 209 pages
File Size : 53,5 Mb
Release : 2021-07-19
Category : Science
ISBN : 9783030814809

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Information Theory by Bertrand Duplantier,Vincent Rivasseau Pdf

This eighteenth volume in the Poincaré Seminar Series provides a thorough description of Information Theory and some of its most active areas, in particular, its relation to thermodynamics at the nanoscale and the Maxwell Demon, and the emergence of quantum computation and of its counterpart, quantum verification. It also includes two introductory tutorials, one on the fundamental relation between thermodynamics and information theory, and a primer on Shannon's entropy and information theory. The book offers a unique and manifold perspective on recent mathematical and physical developments in this field.

Quantum Thermodynamic Processes

Guenter Mahler
Quantum Thermodynamic Processes Book PDF

Author : Guenter Mahler
Publisher : CRC Press
Page : 486 pages
File Size : 52,6 Mb
Release : 2014-12-19
Category : Science
ISBN : 9789814463744

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Quantum Thermodynamic Processes by Guenter Mahler Pdf

The point of departure of this book is a triad of themes: information theory, thermodynamics, and quantum mechanics. These are related: thermodynamics and quantum mechanics form the basis of quantum thermodynamics; information and quantum mechanics underly, inter alia, the notorious quantum measurement problem; and information and thermodynamics have much to say about control limits in the tension between micro- and macro-descriptions. Why does the world around us typically look thermal—from cosmology down to individual embedded spins? Do informational measures constitute additional (independent) parameters beyond physical ones? Is the transition between mechanical and thermal systems gradual or discontinuous? Pertinent examples can be found in various processes implemented on small quantum systems. Particularly attractive are model systems that can be treated thermodynamically, but—to some extent—also exactly, that is, based on pure quantum dynamics. This possibility opens the door to nano-thermodynamics. In this sense, the book aims at a modern perspective of nanoscale applications, defined here as a potential realization of various functions as constrained by given resources.

Thermodynamics of Non-Equilibrium Processes for Chemists with a Particular Application to Catalysis

V. Parmon
Thermodynamics of Non Equilibrium Processes for Chemists with a Particular Application to Catalysis Book PDF

Author : V. Parmon
Publisher : Elsevier
Page : 340 pages
File Size : 47,7 Mb
Release : 2009-09-26
Category : Science
ISBN : 0080931960

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Thermodynamics of Non-Equilibrium Processes for Chemists with a Particular Application to Catalysis by V. Parmon Pdf

Thermodynamics of Non-Equilibrium Processes for Chemists with a Particular Application to Catalysis consists of materials adapted from lectures on the thermodynamics of nonequilibrium processes that have been taught at the Department of Natural Sciences of Novosibirsk State University since 1995. The thermodynamics of nonequilibrium processes traditionally required students to have a strong background in physics. However, the materials featured in this volume allow anyone with knowledge in classical thermodynamics of equilibrium processes and traditional chemical kinetics to understand the subject. Topics discussed include systems in the thermodynamics of irreversible processes; thermodynamics of systems that are close to and far from equilibrium; thermodynamics of catalysts; the application of nonequilibrium thermodynamics to material science; and the relationship between entropy and information. This book will be helpful for research into complex chemical transformations, particularly catalytic transformations. Applies simple approaches of non-equilibrium thermodynamics to analyzing properties of chemically reactive systems Covers systems far from equilibrium, allowing the consideration of most chemically reactive systems of a chemical or biological nature This approach resolves many complicated problems in the teaching of chemical kinetics

Nonequilibrium Thermodynamics

Yasar Demirel,Vincent Gerbaud
Nonequilibrium Thermodynamics Book PDF

Author : Yasar Demirel,Vincent Gerbaud
Publisher : Elsevier
Page : 880 pages
File Size : 44,8 Mb
Release : 2018-11-24
Category : Science
ISBN : 9780444641137

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Nonequilibrium Thermodynamics by Yasar Demirel,Vincent Gerbaud Pdf

Nonequilibrium Thermodynamics: Transport and Rate Processes in Physical, Chemical and Biological Systems, Fourth Edition emphasizes the unifying role of thermodynamics in analyzing natural phenomena. This updated edition expands on the third edition by focusing on the general balance equations for coupled processes of physical, chemical and biological systems. Updates include stochastic approaches, self-organization criticality, ecosystems, mesoscopic thermodynamics, constructual law, quantum thermodynamics, fluctuation theory, information theory, and modeling the coupled biochemical systems. The book also emphasizes nonequilibrium thermodynamics tools, such as fluctuation theories, mesoscopic thermodynamic analysis, information theories, and quantum thermodynamics in describing and designing small scale systems. Provides a useful text for seniors and graduate students from diverse engineering and science programs Highlights the fundamentals of equilibrium thermodynamics, transport processes and chemical reactions Expands the theory of nonequilibrium thermodynamics and its use in coupled transport processes and chemical reactions in physical, chemical and biological systems Presents a unified analysis for transport and rate processes in various time and space scales Discusses stochastic approaches in thermodynamic analysis, including fluctuation and information theories, mesoscopic nonequilibrium thermodynamics, constructal law and quantum thermodynamics

Quantum Steampunk

Nicole Yunger Halpern
Quantum Steampunk Book PDF

Author : Nicole Yunger Halpern
Publisher : JHU Press
Page : 305 pages
File Size : 44,8 Mb
Release : 2022-04-12
Category : Science
ISBN : 9781421443737

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Quantum Steampunk by Nicole Yunger Halpern Pdf

The Industrial Revolution meets the quantum-technology revolution! A steampunk adventure guide to how mind-blowing quantum physics is transforming our understanding of information and energy. Victorian era steam engines and particle physics may seem worlds (as well as centuries) apart, yet a new branch of science, quantum thermodynamics, reenvisions the scientific underpinnings of the Industrial Revolution through the lens of today's roaring quantum information revolution. Classical thermodynamics, understood as the study of engines, energy, and efficiency, needs reimagining to take advantage of quantum mechanics, the basic framework that explores the nature of reality by peering at minute matters, down to the momentum of a single particle. In her exciting new book, intrepid Harvard-trained physicist Dr. Nicole Yunger Halpern introduces these concepts to the uninitiated with what she calls "quantum steampunk," after the fantastical genre that pairs futuristic technologies with Victorian sensibilities. While readers follow the adventures of a rag-tag steampunk crew on trains, dirigibles, and automobiles, they explore questions such as, "Can quantum physics revolutionize engines?" and "What deeper secrets can quantum information reveal about the trajectory of time?" Yunger Halpern also describes her own adventures in the quantum universe and provides an insider's look at the work of the scientists obsessed with its technological promise. Moving from fundamental physics to cutting-edge experimental applications, Quantum Steampunk explores the field's aesthetic, shares its whimsy, and gazes into the potential of a quantum future. The result is a blast for fans of science, science fiction, and fantasy.

Mathematical Foundations and Applications of Graph Entropy

Matthias Dehmer,Frank Emmert-Streib,Zengqiang Chen,Xueliang Li,Yongtang Shi
Mathematical Foundations and Applications of Graph Entropy Book PDF

Author : Matthias Dehmer,Frank Emmert-Streib,Zengqiang Chen,Xueliang Li,Yongtang Shi
Publisher : John Wiley & Sons
Page : 298 pages
File Size : 48,7 Mb
Release : 2017-09-12
Category : Medical
ISBN : 9783527339099

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Mathematical Foundations and Applications of Graph Entropy by Matthias Dehmer,Frank Emmert-Streib,Zengqiang Chen,Xueliang Li,Yongtang Shi Pdf

This latest addition to the successful Network Biology series presents current methods for determining the entropy of networks, making it the first to cover the recently established Quantitative Graph Theory. An excellent international team of editors and contributors provides an up-to-date outlook for the field, covering a broad range of graph entropy-related concepts and methods. The topics range from analyzing mathematical properties of methods right up to applying them in real-life areas. Filling a gap in the contemporary literature this is an invaluable reference for a number of disciplines, including mathematicians, computer scientists, computational biologists, and structural chemists.

Statistical Mechanics for Athermal Fluctuation

Kiyoshi Kanazawa
Statistical Mechanics for Athermal Fluctuation Book PDF

Author : Kiyoshi Kanazawa
Publisher : Springer
Page : 222 pages
File Size : 42,6 Mb
Release : 2017-11-20
Category : Science
ISBN : 9789811063329

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Statistical Mechanics for Athermal Fluctuation by Kiyoshi Kanazawa Pdf

The author investigates athermal fluctuation from the viewpoints of statistical mechanics in this thesis. Stochastic methods are theoretically very powerful in describing fluctuation of thermodynamic quantities in small systems on the level of a single trajectory and have been recently developed on the basis of stochastic thermodynamics. This thesis proposes, for the first time, a systematic framework to describe athermal fluctuation, developing stochastic thermodynamics for non-Gaussian processes, while thermal fluctuations are mainly addressed from the viewpoint of Gaussian stochastic processes in most of the conventional studies. First, the book provides an elementary introduction to the stochastic processes and stochastic thermodynamics. The author derives a Langevin-like equation with non-Gaussian noise as a minimal stochastic model for athermal systems, and its analytical solution by developing systematic expansions is shown as the main result. Furthermore, the a uthor shows a thermodynamic framework for such non-Gaussian fluctuations, and studies some thermodynamics phenomena, i.e. heat conduction and energy pumping, which shows distinct characteristics from conventional thermodynamics. The theory introduced in the book would be a systematic foundation to describe dynamics of athermal fluctuation quantitatively and to analyze their thermodynamic properties on the basis of stochastic methods.