Stochastic Energetics

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Stochastic Energetics

Author : Ken Sekimoto
Publisher : Springer
Page : 334 pages
File Size : 48,5 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.

Stochastic Dynamics and Energetics of Biomolecular Systems

Author : Artem Ryabov
Publisher : Springer
Page : 118 pages
File Size : 48,5 Mb
Release : 2015-11-28
Category : Science
ISBN : 9783319271880

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Stochastic Dynamics and Energetics of Biomolecular Systems by Artem Ryabov Pdf

This thesis both broadens and deepens our understanding of the Brownian world. It addresses new problems in diffusion theory that have recently attracted considerable attention, both from the side of nanotechnology and from the viewpoint of pure academic research. The author focusses on the difussion of interacting particles in restricted geometries and under externally controlled forces. These geometries serve, for example, to model ion transport through narrow channels in cell membranes or a Brownian particle diffusing in an optical trap, now a paradigm for both theory and experiment. The work is exceptional in obtaining explicit analytically formulated answers to such realistic, experimentally relevant questions. At the same time, with its detailed exposition of the problems and a complete set of references, it presents a clear and broadly accessible introduction to the domain. Many of the problem settings and the corresponding exact asymptotic laws are completely new in diffusion theory.

Thermodynamics and Statistical Mechanics of Small Systems

Author : Andrea Puglisi,Alessandro Sarracino ,Angelo Vulpiani
Publisher : MDPI
Page : 335 pages
File Size : 48,6 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

Statistical Mechanics for Athermal Fluctuation

Author : Kiyoshi Kanazawa
Publisher : Springer
Page : 222 pages
File Size : 43,9 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.

Non-equilibrium Energy Transformation Processes

Author : Viktor Holubec
Publisher : Springer
Page : 161 pages
File Size : 52,5 Mb
Release : 2014-05-22
Category : Science
ISBN : 9783319070919

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Non-equilibrium Energy Transformation Processes by Viktor Holubec Pdf

Various experimental techniques have been advanced in recent years to measure non-equilibrium energy transformations on the microscopic scale of single molecules. In general, the systems studied in the corresponding experiments are exposed to strong thermal fluctuations and thus the relevant energetic variables such as work and heat become stochastic. This thesis addresses challenging theoretical problems in this active field of current research: 1) Exact analytical solutions of work and heat distributions for isothermal non-equilibrium processes in suitable models are obtained; 2) Corresponding solutions for cyclic processes involving two different heat reservoirs are found; 3) Optimization of periodic driving protocols for such cyclic processes with respect to maximal output power, efficiency and minimal power fluctuations is studied. The exact solutions for work and heat distributions provide a reference for theoretical investigations of more complicated models, giving insight into the structure of the tail of work distributions and serving as valuable test cases for simulations of the underlying stochastic processes.

Energy Limits in Computation

Author : Craig S. Lent,Alexei O. Orlov,Wolfgang Porod,Gregory L. Snider
Publisher : Springer
Page : 237 pages
File Size : 51,9 Mb
Release : 2018-08-03
Category : Technology & Engineering
ISBN : 9783319934587

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Energy Limits in Computation by Craig S. Lent,Alexei O. Orlov,Wolfgang Porod,Gregory L. Snider Pdf

This book is a single-source reference to the issues involved in the Landauer principle, which has gained new prominence recently, due to the large amount of heat generated by today’s computers. If Landauer’s principle is correct, there may be ways to build computers that dissipate far less power (corresponding to heat generated) than today’s computers. This book brings together all sides of the discussions regarding Landauer’s principle, both theoretical and experimental, empowering readers to gain better understanding of dissipation in computation, and the limits if any to progress in computation related to energy dissipation. It represents the best and most thorough examination of the important issue of Landauer’s principle that is available in one volume. Provides an in-depth investigation of the Landauer principle and how it relates to the possible existence of lower bounds on dissipation in computation; Gathers together both sides of the discussion: those who agree with Landauer and his conclusions, and those who think that Landauer was not correct, offering fresh perspective on the issues in the new light of experiments; Offers insight into the future of silicon CMOS and the limits if any to progress in computation related to energy dissipation.

Irreversibility and Dissipation in Microscopic Systems

Author : Édgar Roldán
Publisher : Springer
Page : 211 pages
File Size : 52,7 Mb
Release : 2014-06-13
Category : Science
ISBN : 9783319070797

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Irreversibility and Dissipation in Microscopic Systems by Édgar Roldán Pdf

After an insightful introductory part on recent developments in the thermodynamics of small systems, the author presents his contribution to a long-standing problem, namely the connection between irreversibility and dissipation. He develops a method based on recent results on fluctuation theorems that is able to estimate dissipation using only information acquired in a single, sufficiently long, trajectory of a stationary nonequilibrium process. This part ends with a remarkable application of the method to the analysis of biological data, in this case, the fluctuations of a hair bundle. The third part studies the energetics of systems that undergo symmetry breaking transitions. These theoretical ideas lead to, among other things, an experimental realization of a Szilard engine using manipulated colloids. This work has the potential for important applications ranging from the analysis of biological media to the design of novel artificial nano-machines.

The Role of Water in ATP Hydrolysis Energy Transduction by Protein Machinery

Author : Makoto Suzuki
Publisher : Springer
Page : 353 pages
File Size : 48,8 Mb
Release : 2018-05-07
Category : Science
ISBN : 9789811084591

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The Role of Water in ATP Hydrolysis Energy Transduction by Protein Machinery by Makoto Suzuki Pdf

This book introduces recent progress in biological energetics from ATP hydrolysis to molecular machineries. The role of water is now recognized to be essential in biological molecular energetics. Although energetics is a rather distant field to many biologists, any working models for protein machineries such as protein motors, transporters, and other enzymes must be consistent with their energetics. Therefore, the book is intended to help scientists build systematic models of biomolecular functions based on three categories: (1) ATP hydrolysis reactions including ionic hydration and protonation–deprotonation of biomolecules, (2) protein–ligand/protein–protein interactions including hydration–dehydration processes, and (3) functioning mechanisms of protein machineries based on water functions.

Statistical Mechanics in a Nutshell, Second Edition

Author : Luca Peliti
Publisher : Princeton University Press
Page : 576 pages
File Size : 49,9 Mb
Release : 2024-08-06
Category : Science
ISBN : 9780691248424

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Statistical Mechanics in a Nutshell, Second Edition by Luca Peliti Pdf

"Statistical Mechanics in a Nutshell offers a concise, self-contained advanced undergraduate to graduate level introduction to this rapidly developing field, requiring a background in elementary calculus and elementary mechanics. It starts with the basics, introduces the most important developments in classical statistical mechanics over the last thirty years, and guides readers to the very threshold of today's cutting-edge research. The author has revised the first 5 chapters (harmonizing the notation, improving the proofs, checking all exercises and adding a few additional interesting ones). He has also added a new chapter on stochastic thermodynamics, which finds its place after the 9th chapter. The appendices will also be completely rewritten, emphasizing the role of convexity and the Jensen inequality. Chapter 8 will be improved to include some important topics: namely, thermostats and fast algorithms. Chapter 9 will also be rewritten to modernize it and to transition to the new chapter on stochastic thermodynamics. Chapter 10 will be split in two, to focus on "disordered systems" and "complex systems," to emphasize applications (including neural networks and optimization algorithms), and to introduce some fundamental techniques (like the cavity method and message passing) at an elementary level. The goal of the new edition is to help the reader find her/his way into and through the vast, recent literature concerning statistical mechanics and to build a sense of the many fields in which the discipline has recently been applied"--

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

Author : Sosuke Ito
Publisher : Springer
Page : 133 pages
File Size : 40,7 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.

The Statistical Mechanics of Irreversible Phenomena

Author : Pierre Gaspard
Publisher : Cambridge University Press
Page : 689 pages
File Size : 44,8 Mb
Release : 2022-07-28
Category : Science
ISBN : 9781108473729

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The Statistical Mechanics of Irreversible Phenomena by Pierre Gaspard Pdf

A comprehensive overview of recent progress in nonequilibrium statistical mechanics, including applications across a range of disciplines.

Principles of Brownian and Molecular Motors

Author : José Antonio Fornés
Publisher : Springer Nature
Page : 198 pages
File Size : 55,8 Mb
Release : 2021-02-04
Category : Science
ISBN : 9783030649579

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Principles of Brownian and Molecular Motors by José Antonio Fornés Pdf

Molecular motors convert chemical energy (typically from ATP hydrolysis) to directed motion and mechanical work. Biomolecular motors are proteins able of converting chemical energy into mechanical motion and force. Because of their dimension, the many small parts that make up molecular motors must operate at energies only a few times greater than those of the thermal baths. The description of molecular motors must be stochastic in nature. Their actions are often described in terms of Brownian Ratchets mechanisms. In order to describe the principles used in their movement, we need to use the tools that theoretical physics give us. In this book we centralize on the some physical mechanisms of molecular motors.

Experiments on the Thermodynamics of Information Processing

Author : Momčilo Gavrilov
Publisher : Springer
Page : 159 pages
File Size : 46,9 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.

The Mathematics of Mechanobiology

Author : Antonio DeSimone,Benoît Perthame,Alfio Quarteroni,Lev Truskinovsky
Publisher : Springer Nature
Page : 217 pages
File Size : 42,5 Mb
Release : 2020-06-29
Category : Mathematics
ISBN : 9783030451974

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The Mathematics of Mechanobiology by Antonio DeSimone,Benoît Perthame,Alfio Quarteroni,Lev Truskinovsky Pdf

This book presents the state of the art in mathematical research on modelling the mechanics of biological systems – a science at the intersection between biology, mechanics and mathematics known as mechanobiology. The book gathers comprehensive surveys of the most significant areas of mechanobiology: cell motility and locomotion by shape control (Antonio DeSimone); models of cell motion and tissue growth (Benoît Perthame); numerical simulation of cardiac electromechanics (Alfio Quarteroni); and power-stroke-driven muscle contraction (Lev Truskinovsky). Each section is self-contained in terms of the biomechanical background, and the content is accessible to all readers with a basic understanding of differential equations and numerical analysis. The book disentangles the phenomenological complexity of the biomechanical problems, while at the same time addressing the mathematical complexity with invaluable clarity. The book is intended for a wide audience, in particular graduate students and applied mathematicians interested in entering this fascinating field.

Thermodynamics and Synchronization in Open Quantum Systems

Author : Gonzalo Manzano Paule
Publisher : Springer
Page : 411 pages
File Size : 52,5 Mb
Release : 2018-07-04
Category : Science
ISBN : 9783319939643

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Thermodynamics and Synchronization in Open Quantum Systems by Gonzalo Manzano Paule Pdf

This book explores some of the connections between dissipative and quantum effects from a theoretical point of view. It focuses on three main topics: the relation between synchronization and quantum correlations, the thermodynamical properties of fluctuations, and the performance of quantum thermal machines. Dissipation effects have a profound impact on the behavior and properties of quantum systems, and the unavoidable interaction with the surrounding environment, with which systems continuously exchange information, energy, angular momentum and matter, is ultimately responsible for decoherence phenomena and the emergence of classical behavior. However, there is a wide intermediate regime in which the interplay between dissipative and quantum effects gives rise to a plethora of rich and striking phenomena that has just started to be understood. In addition, the recent breakthrough techniques in controlling and manipulating quantum systems in the laboratory have made this phenomenology accessible in experiments and potentially applicable.