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Thermodynamics of Information Processing in Small Systems

Author : Takahiro Sagawa
Publisher : Springer Science & Business Media
Page : 126 pages
File Size : 25,18 MB
Release : 2012-09-14
Category : Science
ISBN : 4431541683

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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

Author : Andrea Puglisi
Publisher : MDPI
Page : 335 pages
File Size : 46,79 MB
Release : 2018-09-04
Category : Mathematics
ISBN : 3038970573

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

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

Author : Sosuke Ito
Publisher : Springer
Page : 140 pages
File Size : 41,28 MB
Release : 2016-07-16
Category : Science
ISBN : 981101664X

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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.

Experiments on the Thermodynamics of Information Processing

Author : Momčilo Gavrilov
Publisher : Springer
Page : 159 pages
File Size : 22,99 MB
Release : 2017-08-01
Category : Science
ISBN : 3319636944

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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.

Quantum Thermodynamic Processes

Author : Guenter Mahler
Publisher : CRC Press
Page : 474 pages
File Size : 15,25 MB
Release : 2014-12-19
Category : Science
ISBN : 9814463744

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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 ha

Quantum Steampunk

Author : Nicole Yunger Halpern
Publisher : JHU Press
Page : 305 pages
File Size : 26,25 MB
Release : 2022-04-12
Category : Science
ISBN : 1421443724

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"The science-fiction genre known as steampunk juxtaposes futuristic technologies with Victorian settings. This fantasy is becoming reality at the intersection of two scientific fields-twenty-first-century quantum physics and nineteenth-century thermodynamics, or the study of energy-in a discipline known as quantum steampunk"--

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

Author : V. Parmon
Publisher : Elsevier
Page : 340 pages
File Size : 28,94 MB
Release : 2009-09-26
Category : Technology & Engineering
ISBN : 0080931960

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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

Stochastic Energetics

Author : Ken Sekimoto
Publisher : Springer
Page : 334 pages
File Size : 34,24 MB
Release : 2010-03-10
Category : Technology & Engineering
ISBN : 3642054110

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Stochastic Energetics by now commonly designates the emerging field that bridges the gap between stochastic dynamical processes and thermodynamics. Triggered by the vast improvements in spatio-temporal resolution in nanotechnology, stochastic energetics develops a framework for quantifying individual realizations of a stochastic process on the mesoscopic scale of thermal fluctuations. This is needed to answer such novel questions as: Can one cool a drop of water by agitating an immersed nano-particle? How does heat flow if a Brownian particle pulls a polymer chain? Can one measure the free-energy of a system through a single realization of the associated stochastic process? This book will take the reader gradually from the basics to the applications: Part I provides the necessary background from stochastic dynamics (Langevin, master equation), Part II introduces how stochastic energetics describes such basic notions as heat and work on the mesoscopic scale, Part III details several applications, such as control and detection processes, as well as free-energy transducers. It aims in particular at researchers and graduate students working in the fields of nanoscience and technology.

Nonequilibrium Statistical Physics of Small Systems

Author : Rainer Klages
Publisher : John Wiley & Sons
Page : 402 pages
File Size : 10,23 MB
Release : 2013-03-15
Category : Science
ISBN : 3527658726

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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.