Microscopic Chaos Fractals And Transport In Nonequilibrium Statistical Mechanics

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Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics

Rainer Klages
Microscopic Chaos Fractals and Transport in Nonequilibrium Statistical Mechanics Book PDF

Author : Rainer Klages
Publisher : World Scientific
Page : 458 pages
File Size : 43,9 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812771513

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Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics by Rainer Klages Pdf

A valuable introduction for newcomers as well as an important reference and source of inspiration for established researchers, this book provides an up-to-date summary of central topics in the field of nonequilibrium statistical mechanics and dynamical systems theory. Understanding macroscopic properties of matter starting from microscopic chaos in the equations of motion of single atoms or molecules is a key problem in nonequilibrium statistical mechanics. Of particular interest both for theory and applications are transport processes such as diffusion, reaction, conduction and viscosity. Recent advances towards a deterministic theory of nonequilibrium statistical physics are summarized: Both Hamiltonian dynamical systems under nonequilibrium boundary conditions and non-Hamiltonian modelings of nonequilibrium steady states by using thermal reservoirs are considered. The surprising new results include transport coefficients that are fractal functions of control parameters, fundamental relations between transport coefficients and chaos quantities, and an understanding of nonequilibrium entropy production in terms of fractal measures and attractors. The theory is particularly useful for the description of many-particle systems with properties in-between conventional thermodynamics and nonlinear science, as they are frequently encountered on nanoscales.

Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics

Rainer Klages
Microscopic Chaos Fractals and Transport in Nonequilibrium Statistical Mechanics Book PDF

Author : Rainer Klages
Publisher : World Scientific
Page : 458 pages
File Size : 43,5 Mb
Release : 2007
Category : Science
ISBN : 9789812565075

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Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics by Rainer Klages Pdf

A valuable introduction for newcomers as well as an important reference and source of inspiration for established researchers, this book provides an up-to-date summary of central topics in the field of nonequilibrium statistical mechanics and dynamical systems theory.Understanding macroscopic properties of matter starting from microscopic chaos in the equations of motion of single atoms or molecules is a key problem in nonequilibrium statistical mechanics. Of particular interest both for theory and applications are transport processes such as diffusion, reaction, conduction and viscosity.Recent advances towards a deterministic theory of nonequilibrium statistical physics are summarized: Both Hamiltonian dynamical systems under nonequilibrium boundary conditions and non-Hamiltonian modelings of nonequilibrium steady states by using thermal reservoirs are considered. The surprising new results include transport coefficients that are fractal functions of control parameters, fundamental relations between transport coefficients and chaos quantities, and an understanding of nonequilibrium entropy production in terms of fractal measures and attractors.The theory is particularly useful for the description of many-particle systems with properties in-between conventional thermodynamics and nonlinear science, as they are frequently encountered on nanoscales.

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 : 45,7 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.

From Hamiltonian Chaos to Complex Systems

Xavier Leoncini,Marc Leonetti
From Hamiltonian Chaos to Complex Systems Book PDF

Author : Xavier Leoncini,Marc Leonetti
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 53,7 Mb
Release : 2013-07-14
Category : Technology & Engineering
ISBN : 9781461469629

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From Hamiltonian Chaos to Complex Systems by Xavier Leoncini,Marc Leonetti Pdf

From Hamiltonian Chaos to Complex Systems: A Nonlinear Physics Approach collects contributions on recent developments in non-linear dynamics and statistical physics with an emphasis on complex systems. This book provides a wide range of state-of-the-art research in these fields. The unifying aspect of this book is demonstration of how similar tools coming from dynamical systems, nonlinear physics, and statistical dynamics can lead to a large panorama of research in various fields of physics and beyond, most notably with the perspective of application in complex systems.

Time Reversibility, Computer Simulation, Algorithms, Chaos

William Graham Hoover,Carol Griswold Hoover
Time Reversibility Computer Simulation Algorithms Chaos Book PDF

Author : William Graham Hoover,Carol Griswold Hoover
Publisher : World Scientific
Page : 426 pages
File Size : 54,9 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814383165

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Time Reversibility, Computer Simulation, Algorithms, Chaos by William Graham Hoover,Carol Griswold Hoover Pdf

The book begins with a discussion, contrasting the idealized reversibility of basic physics against the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory - fractals and Lyapunov instability - are fundamental to the approach. Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers.

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3

Santo Banerjee,Lamberto Rondoni
Applications of Chaos and Nonlinear Dynamics in Science and Engineering Vol 3 Book PDF

Author : Santo Banerjee,Lamberto Rondoni
Publisher : Springer
Page : 296 pages
File Size : 46,8 Mb
Release : 2013-06-12
Category : Science
ISBN : 9783642340178

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Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3 by Santo Banerjee,Lamberto Rondoni Pdf

Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. This third volume concentrates on reviewing further relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. This encompasses, but is not limited to, topics such fluctuation relations and chaotic dynamics in physics, fractals and their applications in epileptic seizures, as well as chaos synchronization. Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.

Reviews of Nonlinear Dynamics and Complexity

Heinz Georg Schuster
Reviews of Nonlinear Dynamics and Complexity Book PDF

Author : Heinz Georg Schuster
Publisher : John Wiley & Sons
Page : 260 pages
File Size : 45,8 Mb
Release : 2010-07-06
Category : Science
ISBN : 352763097X

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Reviews of Nonlinear Dynamics and Complexity by Heinz Georg Schuster Pdf

Written in a style that breaks the barriers between the disciplines, this monograph enables researchers from life science, physics, engineering, or chemistry to access the most recent results in a common language. The resulting review character of this project sets it apart from specialized journals, and allows each volume to respond quickly to new developments. This third volume contains new topics ranging from chaotic computing, via random dice tossing and stochastic limit-cycle oscillators, to a number theoretic example of self-organized criticality, wave localization in complex networks and anomalous diffusion. A first-class board of international scientists advises the editor, such that the carefully selected and invited contributions represent the latest and most relevant findings.

Chaotic Dynamics

Tamás Tél,Márton Gruiz
Chaotic Dynamics Book PDF

Author : Tamás Tél,Márton Gruiz
Publisher : Cambridge University Press
Page : 440 pages
File Size : 48,8 Mb
Release : 2006-08-24
Category : Mathematics
ISBN : 0521547830

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Chaotic Dynamics by Tamás Tél,Márton Gruiz Pdf

A clear introduction to chaotic phenomena for undergraduate students in science, engineering, and mathematics.

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 : 51,7 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

The Statistical Mechanics of Irreversible Phenomena

Pierre Gaspard
The Statistical Mechanics of Irreversible Phenomena Book PDF

Author : Pierre Gaspard
Publisher : Cambridge University Press
Page : 689 pages
File Size : 47,7 Mb
Release : 2022-07-28
Category : Science
ISBN : 9781108580465

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The Statistical Mechanics of Irreversible Phenomena by Pierre Gaspard Pdf

This book provides a comprehensive and self-contained overview of recent progress in nonequilibrium statistical mechanics, in particular, the discovery of fluctuation relations and other time-reversal symmetry relations. The significance of these advances is that nonequilibrium statistical physics is no longer restricted to the linear regimes close to equilibrium, but extends to fully nonlinear regimes. These important new results have inspired the development of a unifying framework for describing both the microscopic dynamics of collections of particles, and the macroscopic hydrodynamics and thermodynamics of matter itself. The book discusses the significance of this theoretical framework in relation to a broad range of nonequilibrium processes, from the nanoscale to the macroscale, and is essential reading for researchers and graduate students in statistical physics, theoretical chemistry and biological physics.

Dynamical And Complex Systems

Bullett Shaun,Fearn Tom,Smith Frank
Dynamical And Complex Systems Book PDF

Author : Bullett Shaun,Fearn Tom,Smith Frank
Publisher : World Scientific
Page : 228 pages
File Size : 55,5 Mb
Release : 2016-12-22
Category : Mathematics
ISBN : 9781786341051

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Dynamical And Complex Systems by Bullett Shaun,Fearn Tom,Smith Frank Pdf

This book leads readers from a basic foundation to an advanced level understanding of dynamical and complex systems. It is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as applied dynamical systems, Lotka–Volterra dynamical systems, applied dynamical systems theory, dynamical systems in cosmology, aperiodic order, and complex systems dynamics. Dynamical and Complex Systems is the fifth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Editor the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.

Non-equilibrium Energy Transformation Processes

Viktor Holubec
Non equilibrium Energy Transformation Processes Book PDF

Author : Viktor Holubec
Publisher : Springer
Page : 161 pages
File Size : 54,5 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.

Simulation and Control of Chaotic Nonequilibrium Systems

William Graham Hoover,Carol Griswold Hoover
Simulation and Control of Chaotic Nonequilibrium Systems Book PDF

Author : William Graham Hoover,Carol Griswold Hoover
Publisher : World Scientific Publishing Company
Page : 324 pages
File Size : 45,9 Mb
Release : 2015-02-02
Category : Science
ISBN : 9789814656849

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Simulation and Control of Chaotic Nonequilibrium Systems by William Graham Hoover,Carol Griswold Hoover Pdf

This book aims to provide a lively working knowledge of the thermodynamic control of microscopic simulations, while summarizing the historical development of the subject, along with some personal reminiscences. Many computational examples are described so that they are well-suited to learning by doing. The contents enhance the current understanding of the reversibility paradox and are accessible to advanced undergraduates and researchers in physics, computation, and irreversible thermodynamics.

Contemporary Kinetic Theory of Matter

J. R. Dorfman,Henk van Beijeren,T. R. Kirkpatrick
Contemporary Kinetic Theory of Matter Book PDF

Author : J. R. Dorfman,Henk van Beijeren,T. R. Kirkpatrick
Publisher : Cambridge University Press
Page : 667 pages
File Size : 54,6 Mb
Release : 2021-06-24
Category : Science
ISBN : 9780521895477

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Contemporary Kinetic Theory of Matter by J. R. Dorfman,Henk van Beijeren,T. R. Kirkpatrick Pdf

A thorough examination of kinetic theory and its successes in understanding and describing irreversible phenomena in physical systems.

Progress in Physics, vol. 2/2009

Dmitri Rabounski , Florentin Smarandache,Larissa Borissova
Progress in Physics vol 2 2009 Book PDF

Author : Dmitri Rabounski , Florentin Smarandache,Larissa Borissova
Publisher : Infinite Study
Page : 133 pages
File Size : 47,9 Mb
Release : 2024-06-17
Category : Electronic
ISBN : 8210379456XXX

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Progress in Physics, vol. 2/2009 by Dmitri Rabounski , Florentin Smarandache,Larissa Borissova Pdf

Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics.