Stochastic Thermodynamics

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Stochastic Thermodynamics

Luca Peliti,Simone Pigolotti
Stochastic Thermodynamics Book PDF

Author : Luca Peliti,Simone Pigolotti
Publisher : Princeton University Press
Page : 272 pages
File Size : 44,9 Mb
Release : 2021-07-06
Category : Mathematics
ISBN : 9780691201771

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Stochastic Thermodynamics by Luca Peliti,Simone Pigolotti Pdf

The first comprehensive graduate-level introduction to stochastic thermodynamics Stochastic thermodynamics is a well-defined subfield of statistical physics that aims to interpret thermodynamic concepts for systems ranging in size from a few to hundreds of nanometers, the behavior of which is inherently random due to thermal fluctuations. This growing field therefore describes the nonequilibrium dynamics of small systems, such as artificial nanodevices and biological molecular machines, which are of increasing scientific and technological relevance. This textbook provides an up-to-date pedagogical introduction to stochastic thermodynamics, guiding readers from basic concepts in statistical physics, probability theory, and thermodynamics to the most recent developments in the field. Gradually building up to more advanced material, the authors consistently prioritize simplicity and clarity over exhaustiveness and focus on the development of readers’ physical insight over mathematical formalism. This approach allows the reader to grow as the book proceeds, helping interested young scientists to enter the field with less effort and to contribute to its ongoing vibrant development. Chapters provide exercises to complement and reinforce learning. Appropriate for graduate students in physics and biophysics, as well as researchers, Stochastic Thermodynamics serves as an excellent initiation to this rapidly evolving field. Emphasizes a pedagogical approach to the subject Highlights connections with the thermodynamics of information Pays special attention to molecular biophysics applications Privileges physical intuition over mathematical formalism Solutions manual available on request for instructors adopting the book in a course

Stochastic Thermodynamics: An Introduction

Luca Peliti,Simone Pigolotti
Stochastic Thermodynamics An Introduction Book PDF

Author : Luca Peliti,Simone Pigolotti
Publisher : Princeton University Press
Page : 272 pages
File Size : 46,7 Mb
Release : 2021-07-06
Category : Science
ISBN : 9780691215525

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Stochastic Thermodynamics: An Introduction by Luca Peliti,Simone Pigolotti Pdf

The first comprehensive graduate-level introduction to stochastic thermodynamics Stochastic thermodynamics is a well-defined subfield of statistical physics that aims to interpret thermodynamic concepts for systems ranging in size from a few to hundreds of nanometers, the behavior of which is inherently random due to thermal fluctuations. This growing field therefore describes the nonequilibrium dynamics of small systems, such as artificial nanodevices and biological molecular machines, which are of increasing scientific and technological relevance. This textbook provides an up-to-date pedagogical introduction to stochastic thermodynamics, guiding readers from basic concepts in statistical physics, probability theory, and thermodynamics to the most recent developments in the field. Gradually building up to more advanced material, the authors consistently prioritize simplicity and clarity over exhaustiveness and focus on the development of readers’ physical insight over mathematical formalism. This approach allows the reader to grow as the book proceeds, helping interested young scientists to enter the field with less effort and to contribute to its ongoing vibrant development. Chapters provide exercises to complement and reinforce learning. Appropriate for graduate students in physics and biophysics, as well as researchers, Stochastic Thermodynamics serves as an excellent initiation to this rapidly evolving field. Emphasizes a pedagogical approach to the subject Highlights connections with the thermodynamics of information Pays special attention to molecular biophysics applications Privileges physical intuition over mathematical formalism Solutions manual available on request for instructors adopting the book in a course

Quantum Stochastic Thermodynamics

Philipp Strasberg
Quantum Stochastic Thermodynamics Book PDF

Author : Philipp Strasberg
Publisher : Oxford University Press
Page : 337 pages
File Size : 44,6 Mb
Release : 2022
Category : Science
ISBN : 9780192895585

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Quantum Stochastic Thermodynamics by Philipp Strasberg Pdf

The theory of thermodynamics has been one of the bedrocks of 19th-century physics, and thermodynamic problems have inspired Planck's quantum hypothesis. One hundred years later, in an era where we design increasingly sophisticated nanotechnologies, researchers in quantum physics have been 'returning to their roots', attempting to reconcile modern nanoscale devices with the theory of thermodynamics. This textbook explains how it is possible to unify the two opposite pictures of microscopic quantum physics and macroscopic thermodynamics in one consistent framework, proving that the ancient theory of thermodynamics still offers many remarkable insights into present-day problems. This textbook focuses on the microscopic derivation and understanding of key principles and concepts and their interrelation. The topics covered in this book include (quantum) stochastic processes, (quantum) master equations, local detailed balance, classical stochastic thermodynamics, (quantum) fluctuation theorems, strong coupling and non-Markovian effects, thermodynamic uncertainty relations, operational approaches, Maxwell's demon, and time-reversal symmetry, among other topics. The textbook also explores several practical applications of the theory in more detail, including single-molecule pulling experiments, quantum transport and thermoelectric effects in quantum dots, the micromaser, and related setups in quantum optics. The aim of this book is to inspire readers to investigate a plethora of modern nanoscale devices from a thermodynamic point of view, allowing them to address their dissipation, efficiency, reliability, and power based on a conceptually clear understanding about the microscopic origin of heat, entropy, and the second law. The book is accessible to graduate students, post-docs, and lecturers, but will also be of interest to all researchers striving for a deeper understanding of the laws of thermodynamics beyond their traditional realm of applicability.

An Introduction to Stochastic Thermodynamics

Naoto Shiraishi
An Introduction to Stochastic Thermodynamics Book PDF

Author : Naoto Shiraishi
Publisher : Springer Nature
Page : 437 pages
File Size : 48,6 Mb
Release : 2023-05-08
Category : Science
ISBN : 9789811981869

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An Introduction to Stochastic Thermodynamics by Naoto Shiraishi Pdf

This book presents the fundamentals of stochastic thermodynamics, one of the most central subjects in non-equilibrium statistical mechanics. It also explores many recent advances, e.g., in information thermodynamics, the thermodynamic uncertainty relation, and the trade-off relation between efficiency and power. The content is divided into three main parts, the first of which introduces readers to fundamental topics in stochastic thermodynamics, e.g., the basics of stochastic processes, the fluctuation theorem and its variants, information thermodynamics, and large deviation theory. In turn, parts two and three explore advanced topics such as autonomous engines (engines not controlled externally) and finite speed engines, while also explaining the key concepts from recent stochastic thermodynamics theory that are involved. To fully benefit from the book, readers only need an undergraduate-level background in statistical mechanics and quantum mechanics; no background in information theory or stochastic processes is needed. Accordingly, the book offers a valuable resource for early graduate or higher-level readers who are unfamiliar with this subject but want to keep up with the cutting-edge research in this field. In addition, the author’s vivid descriptions interspersed throughout the book will help readers grasp ‘living’ research developments and begin their own research in this field.

Statistical Thermodynamics and Stochastic Kinetics

Yiannis N. Kaznessis
Statistical Thermodynamics and Stochastic Kinetics Book PDF

Author : Yiannis N. Kaznessis
Publisher : Cambridge University Press
Page : 329 pages
File Size : 40,9 Mb
Release : 2012
Category : Mathematics
ISBN : 9780521765619

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Statistical Thermodynamics and Stochastic Kinetics by Yiannis N. Kaznessis Pdf

Provides engineers with the knowledge they need to apply thermodynamics and solve engineering challenges at the molecular level.

Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems

Werner Ebeling,Igor M. Sokolov
Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems Book PDF

Author : Werner Ebeling,Igor M. Sokolov
Publisher : World Scientific
Page : 344 pages
File Size : 42,5 Mb
Release : 2005
Category : Science
ISBN : 9789810213824

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Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems by Werner Ebeling,Igor M. Sokolov Pdf

This book presents both the fundamentals and the major research topics in statistical physics of systems out of equilibrium. It summarizes different approaches to describe such systems on the thermodynamic and stochastic levels, and discusses a variety of areas including reactions, anomalous kinetics, and the behavior of self-propelling particles.

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 : 44,6 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 : 52,6 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.

Statistical Dynamics

R. F. Streater
Statistical Dynamics Book PDF

Author : R. F. Streater
Publisher : Imperial College Press
Page : 393 pages
File Size : 45,6 Mb
Release : 2009
Category : Science
ISBN : 9781848162440

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Statistical Dynamics by R. F. Streater Pdf

How can one construct dynamical systems obeying the first and second laws of thermodynamics: mean energy is conserved and entropy increases with time? This book answers the question for classical probability (Part I) and quantum probability (Part II). A novel feature is the introduction of heat particles which supply thermal noise and represent the kinetic energy of the molecules. When applied to chemical reactions, the theory leads to the usual nonlinear reaction-diffusion equations as well as modifications of them. These can exhibit oscillations, or can converge to equilibrium.In this second edition, the text is simplified in parts and the bibliography has been expanded. The main difference is the addition of two new chapters; in the first, classical fluid dynamics is introduced. A lattice model is developed, which in the continuum limit gives us the Euler equations. The five Navier-Stokes equations are also presented, modified by a diffusion term in the continuity equation. The second addition is in the last chapter, which now includes estimation theory, both classical and quantum, using information geometry.

A Dynamical Systems Theory of Thermodynamics

Wassim M. Haddad
A Dynamical Systems Theory of Thermodynamics Book PDF

Author : Wassim M. Haddad
Publisher : Princeton University Press
Page : 744 pages
File Size : 52,6 Mb
Release : 2019-06-04
Category : Mathematics
ISBN : 9780691190143

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A Dynamical Systems Theory of Thermodynamics by Wassim M. Haddad Pdf

A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics. This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics. A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe—the entropic arrow of time.

Stochastic Energetics

Ken Sekimoto
Stochastic Energetics Book PDF

Author : Ken Sekimoto
Publisher : Springer
Page : 334 pages
File Size : 41,6 Mb
Release : 2010-03-10
Category : Technology & Engineering
ISBN : 9783642054112

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Stochastic Energetics by Ken Sekimoto Pdf

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.

Quantum Thermodynamics and Optomechanics

Juliette Monsel
Quantum Thermodynamics and Optomechanics Book PDF

Author : Juliette Monsel
Publisher : Springer Nature
Page : 139 pages
File Size : 49,7 Mb
Release : 2020-09-18
Category : Science
ISBN : 9783030549718

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Quantum Thermodynamics and Optomechanics by Juliette Monsel Pdf

This thesis demonstrates the potential of two platforms to explore experimentally the emerging field of quantum thermodynamics that has remained mostly theoretical so far. It proposes methods to define and measure work in the quantum regime. The most important part of the thesis focuses on hybrid optomechanical devices, evidencing that they are proper candidates to measure directly the fluctuations of work and the corresponding fluctuation theorem. Such devices could also give rise to the observation of mechanical lasing and cooling, based on mechanisms similar to a heat engine. The final part of the thesis studies how quantum coherence can improve work extraction in superconducting circuits. All the proposals greatly clarify the concept of work since they are based on measurable quantities in state of the art devices.

Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics

Takahiro Sagawa
Entropy Divergence and Majorization in Classical and Quantum Thermodynamics Book PDF

Author : Takahiro Sagawa
Publisher : Springer Nature
Page : 150 pages
File Size : 42,8 Mb
Release : 2022-03-23
Category : Science
ISBN : 9789811666445

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Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics by Takahiro Sagawa Pdf

Rich information-theoretic structure in out-of-equilibrium thermodynamics exists in both the classical and quantum regimes, leading to the fruitful interplay among statistical physics, quantum information theory, and mathematical theories such as matrix analysis and asymptotic probability theory. The main purpose of this book is to clarify how information theory works behind thermodynamics and to shed modern light on it. The book focuses on both purely information-theoretic concepts and their physical implications. From the mathematical point of view, rigorous proofs of fundamental properties of entropies, divergences, and majorization are presented in a self-contained manner. From the physics perspective, modern formulations of thermodynamics are discussed, with a focus on stochastic thermodynamics and resource theory of thermodynamics. In particular, resource theory is a recently developed field as a branch of quantum information theory to quantify “useful resources” and has an intrinsic connection to various fundamental ideas of mathematics and information theory. This book serves as a concise introduction to important ingredients of the information-theoretic formulation of thermodynamics.

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 : 53,6 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 in the Quantum Regime

Felix Binder,Luis A. Correa,Christian Gogolin,Janet Anders,Gerardo Adesso
Thermodynamics in the Quantum Regime Book PDF

Author : Felix Binder,Luis A. Correa,Christian Gogolin,Janet Anders,Gerardo Adesso
Publisher : Springer
Page : 998 pages
File Size : 50,6 Mb
Release : 2019-04-01
Category : Science
ISBN : 9783319990460

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Thermodynamics in the Quantum Regime by Felix Binder,Luis A. Correa,Christian Gogolin,Janet Anders,Gerardo Adesso Pdf

Quantum Thermodynamics is a novel research field which explores the emergence of thermodynamics from quantum theory and addresses thermodynamic phenomena which appear in finite-size, non-equilibrium and finite-time contexts. Blending together elements from open quantum systems, statistical mechanics, quantum many-body physics, and quantum information theory, it pinpoints thermodynamic advantages and barriers emerging from genuinely quantum properties such as quantum coherence and correlations. Owing to recent experimental efforts, the field is moving quickly towards practical applications, such as nano-scale heat devices, or thermodynamically optimised protocols for emergent quantum technologies. Starting from the basics, the present volume reviews some of the most recent developments, as well as some of the most important open problems in quantum thermodynamics. The self-contained chapters provide concise and topical introductions to researchers who are new to the field. Experts will find them useful as a reference for the current state-of-the-art. In six sections the book covers topics such as quantum heat engines and refrigerators, fluctuation theorems, the emergence of thermodynamic equilibrium, thermodynamics of strongly coupled systems, as well as various information theoretic approaches including Landauer's principle and thermal operations. It concludes with a section dedicated to recent quantum thermodynamics experiments and experimental prospects on a variety of platforms ranging from cold atoms to photonic systems, and NV centres.