Nonequilibrium Statistical Physics of Small Systems

Nonequilibrium Statistical Physics of Small Systems PDF

Author: Rainer Klages

Publisher: John Wiley & Sons

Published: 2013-03-15

Total Pages: 402

ISBN-13: 3527658726

DOWNLOAD EBOOK →

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.

An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics

An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics PDF

Author: Horacio S Wio

Publisher: World Scientific Publishing Company

Published: 2012-09-05

Total Pages: 336

ISBN-13: 9814434639

DOWNLOAD EBOOK →

This book aims to provide a compact and unified introduction to the most important aspects in the physics of non-equilibrium systems. It first introduces stochastic processes and some modern tools and concepts that have proved their usefulness to deal with non-equilibrium systems from a purely probabilistic angle. The aim is to show the important role played by fluctuations in far-from-equilibrium situations, where noise can promote order and organization, switching among non-equilibrium states, etc. The second part adopts a more historical perspective, retracing the first steps taken from the purely thermodynamic as well as from the kinetic points of view to depart (albeit slightly) from equilibrium. The third part revisits the path outlined in the first one, but now undertakes the mesoscopic description of extended systems, where new phenomena (patterns, long-range correlations, scaling far from equilibrium, etc.) are observed. This book is a revised and extended version of an earlier edition published in 1994. It includes topics of current research interest in far-from-equilibrium situations like noise-induced phenomena and free energy-like functionals, surface growth and roughening, etc. It can be used as an advanced textbook by graduate students in physics. It also covers topics of current interest in other disciplines and interdisciplinary approaches in engineering, biophysics, and economics, among others. The level of detail in the book is enough to capture the interest of the reader and facilitate the path to more learning by exploring the modern research literature provided. At the same time, the book is also complete enough to be self-contained for those readers who just need an overview of the subject.

Thermodynamics of Information Processing in Small Systems

Thermodynamics of Information Processing in Small Systems PDF

Author: Takahiro Sagawa

Publisher: Springer Science & Business Media

Published: 2012-09-14

Total Pages: 126

ISBN-13: 4431541683

DOWNLOAD EBOOK →

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.

Non-Equilibrium Statistical Mechanics

Non-Equilibrium Statistical Mechanics PDF

Author: Ilya Prigogine

Publisher: Courier Dover Publications

Published: 2017-03-17

Total Pages: 337

ISBN-13: 0486815552

DOWNLOAD EBOOK →

Groundbreaking monograph by Nobel Prize winner for researchers and graduate students covers Liouville equation, anharmonic solids, Brownian motion, weakly coupled gases, scattering theory and short-range forces, general kinetic equations, more. 1962 edition.

Statistical Physics II

Statistical Physics II PDF

Author: Ryogo Kubo

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 296

ISBN-13: 3642582443

DOWNLOAD EBOOK →

Statistical Physics II introduces nonequilibrium theories of statistical mechanics from the viewpoint of the fluctuation-disipation theorem. Emphasis is placed on the relaxation from nonequilibrium to equilibrium states, the response of a system to an external disturbance, and general problems involved in deriving a macroscopic physical process from more basic underlying processes. Fundamental concepts and methods are stressed, rather than the numerous individual applications.

Nonequilibrium Statistical Physics

Nonequilibrium Statistical Physics PDF

Author: Roberto Livi

Publisher: Cambridge University Press

Published: 2017-10-05

Total Pages: 439

ISBN-13: 1107049547

DOWNLOAD EBOOK →

A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.

Nonequilibrium Statistical Mechanics of Heterogeneous Fluid Systems

Nonequilibrium Statistical Mechanics of Heterogeneous Fluid Systems PDF

Author: Andrei G. Bashkirov

Publisher: CRC Press

Published: 1995-03-09

Total Pages: 180

ISBN-13: 9780849328602

DOWNLOAD EBOOK →

There is a wide variety of heterogeneous fluid systems that possess interphase surfaces. This monograph is devoted to pioneering studies in nonequilibrium statistical mechanics of such systems. Starting from the Liouville equation, the equations of surface hydrodynamics are derived with allowance for discontinuities of thermodynamic parameters of interphase boundaries. Brownian motion of a large solid particle in a fluid and nucleation are treated as results of fluctuations of flows across particle surfaces. With the use of the Gibbs method, a shock wave in a gas is considered as a sort of an interphase surface, and the surface tension of a shock front is introduced for the first time.

Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems

Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems PDF

Author: Werner Ebeling

Publisher: World Scientific

Published: 2005

Total Pages: 344

ISBN-13: 9810213824

DOWNLOAD EBOOK →

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.

Statistical Mechanics of Nonequilibrium Liquids

Statistical Mechanics of Nonequilibrium Liquids PDF

Author: Denis J. Evans

Publisher: ANU E Press

Published: 2007-08-01

Total Pages: 318

ISBN-13: 1921313234

DOWNLOAD EBOOK →

"There is a symbiotic relationship between theoretical nonequilibrium statistical mechanics on the one hand and the theory and practice of computer simulation on the other. Sometimes, the initiative for progress has been with the pragmatic requirements of computer simulation and at other times, the initiative has been with the fundamental theory of nonequilibrium processes. This book summarises progress in this field up to 1990"--Publisher's description.