Statistical Mechanics Kinetic Theory And Stochastic Processes

Author : C.V. Heer
Publisher : Elsevier
Page : 619 pages
File Size : 47,9 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323144414

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Statistical Mechanics, Kinetic theory, and Stochastic Processes by C.V. Heer Pdf

Statistical Mechanics, Kinetic Theory, and Stochastic Processes presents the statistical aspects of physics as a "living and dynamic" subject. In order to provide an elementary introduction to kinetic theory, physical systems in which particle-particle interaction can be neglected are considered. Transport phenomena in the free-molecular flow region for gases and the transport of thermal radiation are discussed. Discrete random processes such as random walk, binomial and Poisson distributions, and throwing of dice are studied by means of the characteristic function. Comprised of 11 chapters, this book begins with an introduction to the mass point gas as well as some elementary properties of space and velocity distributions. The discussion then turns to radiation and its interaction with an atom; probability, statistics, and conditional probability; intermolecular interactions; transport phenomena; and statistical thermodynamics. Molecular systems at low densities are also considered, together with non-ideal and real gases; liquids and solids; and stochastic processes, noise, and fluctuations. In particular, the response of atoms and molecules to perturbations and scattering by crystals, liquids, and high-pressure gases are examined. This monograph will be useful for undergraduate students, practitioners, and researchers in physics.

Author : N. G. van Kampen
Publisher : North Holland
Page : 442 pages
File Size : 45,9 Mb
Release : 1981
Category : Mathematics
ISBN : UOM:39015053348259

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Stochastic Processes in Physics and Chemistry by N. G. van Kampen Pdf

This new edition of Van Kampen's standard work has been completely revised and updated. Three major changes have also been made. The Langevin equation receives more attention in a separate chapter in which non-Gaussian and colored noise are introduced. Another additional chapter contains old and new material on first-passage times and related subjects which lay the foundation for the chapter on unstable systems. Finally a completely new chapter has been written on the quantum mechanical foundations of noise. The references have also been expanded and updated.

Author : Horacio S Wio,Roberto R Deza,Juan M López
Publisher : World Scientific Publishing Company
Page : 336 pages
File Size : 55,8 Mb
Release : 2012-09-05
Category : Science
ISBN : 9789814434638

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An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics by Horacio S Wio,Roberto R Deza,Juan M López Pdf

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.

Author : Toyoki Koga
Publisher : Pergamon
Page : 324 pages
File Size : 55,6 Mb
Release : 1970
Category : Science
ISBN : UCAL:B3740283

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Introduction to Kinetic Theory Stochastic Processes in Gaseous Systems by Toyoki Koga Pdf

Author : Ebeling Werner,Sokolov Igor
Publisher : World Scientific Publishing Company
Page : 344 pages
File Size : 53,7 Mb
Release : 2005-09-23
Category : Science
ISBN : 9789813104631

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Statistical Thermodynamics And Stochastic Theory Of Nonequilibrium Systems by Ebeling Werner,Sokolov Igor 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.

Author : Horacio Sergio Wio
Publisher : World Scientific
Page : 233 pages
File Size : 40,9 Mb
Release : 1994-02-07
Category : Science
ISBN : 9789814502658

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An Introduction To Stochastic Processes And Nonequilibrium Statistical Physics by Horacio Sergio Wio Pdf

The purpose of this textbook is to bring together, in a self-contained introductory form, the scattered material in the field of stochastic processes and statistical physics. It offers the opportunity of being acquainted with stochastic, kinetic and nonequilibrium processes. Although the research techniques in these areas have become standard procedures, they are not usually taught in the normal courses on statistical physics. For students of physics in their last year and graduate students who wish to gain an invaluable introduction on the above subjects, this book is a necessary tool.

Author : Kerson Huang
Publisher : World Scientific
Page : 159 pages
File Size : 51,6 Mb
Release : 2005
Category : Science
ISBN : 9789812561435

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Lectures on Statistical Physics and Protein Folding by Kerson Huang Pdf

This book introduces an approach to protein folding from the point of view of kinetic theory. There is an abundance of data on protein folding, but few proposals are available on the mechanism driving the process. Here, presented for the first time, are suggestion on possible research directions, as developed by the author in collaboration with C. C. Lin. The first half of this invaluable book contains a concise but relatively complete review of relevant topics in statistical mechanics and kinetic theory. It includes standard topics such as thermodynamics, the Maxwell-Boltzmann distribution, and ensemble theory. Special discussions include the dynamics of phase transitions, and Brownian motion as an illustration of stochastic processes. The second half develops topics in molecular biology and protein structure, with a view to discovering mechanisms underlying protein folding. Attention is focused on the energy flow through the protein in its folded state. A mathematical model, based on the Brownian motion of coupled harmonic oscillators, is worked out in the appendix.

Author : Antonio M. Scarfone,Sumiyoshi Abe,Róbert Kovács
Publisher : MDPI
Page : 116 pages
File Size : 44,5 Mb
Release : 2020-12-15
Category : Technology & Engineering
ISBN : 9783039362325

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Entropy and Non-Equilibrium Statistical Mechanics by Antonio M. Scarfone,Sumiyoshi Abe,Róbert Kovács Pdf

Nonequilibrium statistical mechanics has a long history featuring diverse aspects. It has been a major research field in physics and will remain so in the future. Even regarding the concept of entropy, there exists a longstanding problem concerning its definition for a system in a state far from equilibrium. In this Special Issue, we offered the possibility to discuss and present up-to-date problems that were not necessarily restricted to statistical mechanics. Theoretical and experimental papers are both presented, in addition to unifying research works. As the entropy itself is the central element of nonequilibrium processes, papers discuss various formulations of the second law and its consequences. In this Special Issue, recent progress in kinetic approaches to hydrodynamics, rational extended thermodynamics, entropy in a strongly nonequilibrium stationary state, and related topics are reported as both review articles as well as original research works.

Author : Yiannis N. Kaznessis
Publisher : Cambridge University Press
Page : 329 pages
File Size : 47,7 Mb
Release : 2011-12-01
Category : Technology & Engineering
ISBN : 9781139504270

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Statistical Thermodynamics and Stochastic Kinetics by Yiannis N. Kaznessis Pdf

Presenting the key principles of thermodynamics from a microscopic point of view, this book provides engineers with the knowledge they need to apply thermodynamics and solve engineering challenges at the molecular level. It clearly explains the concepts of entropy and free energy, emphasizing key ideas used in equilibrium applications, whilst stochastic processes, such as stochastic reaction kinetics, are also covered. It provides a classical microscopic interpretation of thermodynamic properties, which is key for engineers, rather than focusing on more esoteric concepts of statistical mechanics and quantum mechanics. Coverage of molecular dynamics and Monte Carlo simulations as natural extensions of the theoretical treatment of statistical thermodynamics is also included, teaching readers how to use computer simulations and thus enabling them to understand and engineer the microcosm. Featuring many worked examples and over 100 end-of-chapter exercises, it is ideal for use in the classroom as well as for self-study.

Author : Yu.L. Klimontovich
Publisher : Springer Science & Business Media
Page : 589 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401101752

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Statistical Theory of Open Systems by Yu.L. Klimontovich Pdf

Let us begin by quoting from the Preface to the author's Statistical Physics (Moscow, Nauka 1982; also published in English by Harwood in 1986): '''My God! Yet another book on statistical physics! There's no room on my bookshelves left!' Such emotionsare quite understandable. Beforejumping to conclusions, however, it would be worthwhile to read the Introduction and look through the table of contents. Then the reader will find that this book is totally different from the existing courses, fundamental and concise. ... We do not use the conventional division into statistical theories ofequilibrium and nonequilibrium states. Rather than that, the theory ofnonequilibrium state is the basis and the backbone oftheentirecourse. ... This approach allows us to develop a unified method for statistical description ofa very broadclassofsystems. ... The author certainly does not wish to exaggerate the advantages of the book, considering it asjustthe first attemptto create a textbookofa new kind." The next step in this direction was the author's Turbulent Motion and the Structure of Chaos (Moscow, Nauka 1990; Kluwer Academic Publishers 1991). This book is subtitled A New Approach to the Statistical Theory of Open Systems. Naturally, the "new approach" is not meant to defy the consistent and efficient methods of the conventional statistical theory; itshould be regarded as auseful reinforcementofsuch methods.

Author : Piero Olla
Publisher : Springer
Page : 185 pages
File Size : 48,6 Mb
Release : 2014-08-13
Category : Science
ISBN : 9783319061887

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An Introduction to Thermodynamics and Statistical Physics by Piero Olla Pdf

This textbook offers an advanced undergraduate or initial graduate level introduction to topics such as kinetic theory, equilibrium statistical mechanics and the theory of fluctuations from a modern perspective. The aim is to provide the reader with the necessary tools of probability theory and thermodynamics (especially the thermodynamic potentials) to enable subsequent study at advanced graduate level. At the same time, the book offers a bird's eye view on arguments that are often disregarded in the main curriculum courses. Further features include a focus on the interdisciplinary nature of the subject and in-depth discussion of alternative interpretations of the concept of entropy. While some familiarity with basic concepts of thermodynamics and probability theory is assumed, this does not extend beyond what is commonly obtained in basic undergraduate curriculum courses.

Author : J. J. Brey,J. Marro,J.M. Rubi
Publisher : Unknown
Page : 412 pages
File Size : 45,9 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662140179

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25 Years of Non-Equilibrium Statistical Mechanics by J. J. Brey,J. Marro,J.M. Rubi Pdf

Author : Yiannis Nikolaos Kaznessis
Publisher : Unknown
Page : 329 pages
File Size : 49,6 Mb
Release : 2014-05-14
Category : SCIENCE
ISBN : 1139190334

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Statistical Thermodynamics and Stochastic Kinetics by Yiannis Nikolaos Kaznessis Pdf

"Presenting the key principles of thermodynamics from a microscopic point of view, this book provides engineers with the knowledge they need to apply thermodynamics and solve engineering challenges at the molecular level. It clearly explains the concerns of entropy and free energy, emphasising key concepts used in equilibrium applications, whilst stochastic processes, such as stochastic reaction kinetics, are also covered. It provides a classical microscopic interpretation of thermodynamic concepts which is key for engineers, rather than focusing on more esoteric concepts of statistical thermodynamics and quantum mechanics. Coverage of molecular dynamics and Monte Carlo simulations as natural extensions of the theoretical treatment of statistical thermodynamics is also included, teaching readers how to use computer simulations and thus enabling them to understand and engineer the microcosm. Featuring many worked examples and over 100 end-of-chapter exercises, it is ideal for use in the classroom as well as for self-study"--

Author : E Montroll
Publisher : Elsevier
Page : 358 pages
File Size : 54,7 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444601568

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Fluctuation Phenomena by E Montroll Pdf

Studies in Statistical Mechanics, Volume VII: Fluctuation Phenomena Fluctuation explores different aspects of fluctuation behavior and their relation to microscopic processes and other phenomena, including the nucleation of a new phase following the quenching of a system into the coexistence region. It looks at phenomenological fluctuation theories, stochastic processes such as Markoff and momentless processes, and stochastic geometric aspects of amorphous solids. Comprised of five chapters, this volume begins with an overview of fluctuations and the Ehrenfest dog-flea model. It then turns to a discussion of density fluctuations in dilute gases, the Langevin theory of Brownian motion, and classical diffusion and random walks. It also systematically introduces the reader to the statistical mechanical theory of the kinetics of phase transitions, the molecular theory of metastability, and multidimensional continuous time random walks, along with the effect of boundaries and defects onf stochastic processes. In addition, it describes the phenomenological theory of the kinetics of nucleation and its application to nucleation, spinodal decomposition, and condensation. Other chapters focus on a stochastic model for the kinetics of phase transitions, the physical ideas used in theories of metastability, and the importance of dynamics in the study of metastability. The book explains how to estimate the escape rate and describes the statistical mechanics of clusters before concluding with a discussion of slowly-varying ensembles. This book is a valuable resource for students, physicists, and researchers who want to gain more knowledge and learn about statistical mechanics in general and fluctuation phenomena in particular.

Author : Kiyoshi Kanazawa
Publisher : Springer
Page : 222 pages
File Size : 43,7 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.