New Trends in Kramers’ Reaction Rate Theory

New Trends in Kramers’ Reaction Rate Theory PDF Author: P. Talkner
Publisher: Springer Science & Business Media
ISBN: 9401104654
Category : Science
Languages : en
Pages : 258

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Book Description
The escape from metastable states via noise-assisted hopping and/or tunneling is pivotal to many scientific disciplines. It impacts on such diverse physical, chemical and biological processes as diffusion in solids, chemical reactions, nucleation phenomena and transfer of matter and information in biological systems. This volume surveys recent developments in the rate theory of both equilibrium and nonequilibrium processes. The understanding of the classical and quantum-mechanical concepts of this theory is deepened and extended in order to cope with various problems which, in particular, arise in complex systems. A wide range of applications are discussed such as correlated hops in periodic potentials, fluctuating barriers, transitions to limit cycles, discrete time dynamics, random walks on selfsimilar structures, and nonexponential decay in disordered systems is covered and profoundly discussed. For research workers and graduate students in chemistry, physics and biology with an interest in reaction rate theory.

New Trends in Kramers’ Reaction Rate Theory

New Trends in Kramers’ Reaction Rate Theory PDF Author: P. Talkner
Publisher: Springer Science & Business Media
ISBN: 9401104654
Category : Science
Languages : en
Pages : 258

Get Book Here

Book Description
The escape from metastable states via noise-assisted hopping and/or tunneling is pivotal to many scientific disciplines. It impacts on such diverse physical, chemical and biological processes as diffusion in solids, chemical reactions, nucleation phenomena and transfer of matter and information in biological systems. This volume surveys recent developments in the rate theory of both equilibrium and nonequilibrium processes. The understanding of the classical and quantum-mechanical concepts of this theory is deepened and extended in order to cope with various problems which, in particular, arise in complex systems. A wide range of applications are discussed such as correlated hops in periodic potentials, fluctuating barriers, transitions to limit cycles, discrete time dynamics, random walks on selfsimilar structures, and nonexponential decay in disordered systems is covered and profoundly discussed. For research workers and graduate students in chemistry, physics and biology with an interest in reaction rate theory.

Statistical Thermodynamics And Stochastic Theory Of Nonequilibrium Systems

Statistical Thermodynamics And Stochastic Theory Of Nonequilibrium Systems PDF Author: Werner Ebeling
Publisher: World Scientific Publishing Company
ISBN: 9813104635
Category : Science
Languages : en
Pages : 342

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Book Description
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.

Molecular Reaction Dynamics

Molecular Reaction Dynamics PDF Author: Raphael D. Levine
Publisher: Cambridge University Press
ISBN: 9781139442879
Category : Technology & Engineering
Languages : en
Pages : 574

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Book Description
Molecular reaction dynamics is the study of chemical and physical transformations of matter at the molecular level. The understanding of how chemical reactions occur and how to control them is fundamental to chemists and interdisciplinary areas such as materials and nanoscience, rational drug design, environmental and astrochemistry. This book provides a thorough foundation to this area. The first half is introductory, detailing experimental techniques for initiating and probing reaction dynamics and the essential insights that have been gained. The second part explores key areas including photoselective chemistry, stereochemistry, chemical reactions in real time and chemical reaction dynamics in solutions and interfaces. Typical of the new challenges are molecular machines, enzyme action and molecular control. With problem sets included, this book is suitable for advanced undergraduate and graduate students, as well as being supplementary to chemical kinetics, physical chemistry, biophysics and materials science courses, and as a primer for practising scientists.

Theory and Applications of Computational Chemistry

Theory and Applications of Computational Chemistry PDF Author: Clifford Dykstra
Publisher: Elsevier
ISBN: 0080456243
Category : Science
Languages : en
Pages : 1336

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Book Description
Computational chemistry is a means of applying theoretical ideas using computers and a set of techniques for investigating chemical problems within which common questions vary from molecular geometry to the physical properties of substances. Theory and Applications of Computational Chemistry: The First Forty Years is a collection of articles on the emergence of computational chemistry. It shows the enormous breadth of theoretical and computational chemistry today and establishes how theory and computation have become increasingly linked as methodologies and technologies have advanced. Written by the pioneers in the field, the book presents historical perspectives and insights into the subject, and addresses new and current methods, as well as problems and applications in theoretical and computational chemistry. Easy to read and packed with personal insights, technical and classical information, this book provides the perfect introduction for graduate students beginning research in this area. It also provides very readable and useful reviews for theoretical chemists.* Written by well-known leading experts * Combines history, personal accounts, and theory to explain much of the field of theoretical and compuational chemistry* Is the perfect introduction to the field

Reviews in Computational Chemistry, Volume 27

Reviews in Computational Chemistry, Volume 27 PDF Author: Kenny B. Lipkowitz
Publisher: John Wiley & Sons
ISBN: 0470890894
Category : Science
Languages : en
Pages : 515

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Book Description
This volume, like those prior to it, features chapters by experts in various fields of computational chemistry. Volume 27 covers brittle fracture, molecular detailed simulations of lipid bilayers, semiclassical bohmian dynamics, dissipative particle dynamics, trajectory-based rare event simulations, and understanding metal/metal electrical contact conductance from the atomic to continuum scales. Also included is a chapter on career opportunities in computational chemistry and an appendix listing the e-mail addresses of more than 2500 people in that discipline. FROM REVIEWS OF THE SERIES "Reviews in Computational Chemistry remains the most valuable reference to methods and techniques in computational chemistry." —JOURNAL OF MOLECULAR GRAPHICS AND MODELLING "One cannot generally do better than to try to find an appropriate article in the highly successful Reviews in Computational Chemistry. The basic philosophy of the editors seems to be to help the authors produce chapters that are complete, accurate, clear, and accessible to experimentalists (in particular) and other nonspecialists (in general)." —JOURNAL OF THE AMERICAN CHEMICAL SOCIETY

Nonlinear Dynamics of Chaotic and Stochastic Systems

Nonlinear Dynamics of Chaotic and Stochastic Systems PDF Author: Vadim S. Anishchenko
Publisher: Springer Science & Business Media
ISBN: 3540381686
Category : Science
Languages : en
Pages : 463

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Book Description
We present an improved and enlarged version of our book Nonlinear - namics of Chaotic and Stochastic Systems published by Springer in 2002. Basically, the new edition of the book corresponds to its ?rst version. While preparingthiseditionwemadesomeclari?cationsinseveralsectionsandalso corrected the misprints noticed in some formulas. Besides, three new sections have been added to Chapter 2. They are “Statistical Properties of Dynamical Chaos,” “E?ects of Synchronization in Extended Self-Sustained Oscillatory Systems,” and “Synchronization in Living Systems.” The sections indicated re?ect the most interesting results obtained by the authors after publication of the ?rst edition. We hope that the new edition of the book will be of great interest for a widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning research in the ?elds of nonlinear oscillation and wave theory, dynamical chaos, synchronization, and stochastic process theory. Saratov, Berlin, and St. Louis V.S. Anishchenko November 2006 A.B. Neiman T.E. Vadiavasova V.V. Astakhov L. Schimansky-Geier Preface to the First Edition Thisbookisdevotedtotheclassicalbackgroundandtocontemporaryresults on nonlinear dynamics of deterministic and stochastic systems. Considerable attentionisgiventothee?ectsofnoiseonvariousregimesofdynamicsystems with noise-induced order. On the one hand, there exists a rich literature of excellent books on n- linear dynamics and chaos; on the other hand, there are many marvelous monographs and textbooks on the statistical physics of far-from-equilibrium andstochasticprocesses.Thisbookisanattempttocombinetheapproachof nonlinear dynamics based on the deterministic evolution equations with the approach of statistical physics based on stochastic or kinetic equations. One of our main aims is to show the important role of noise in the organization and properties of dynamic regimes of nonlinear dissipative systems.

Asymptotics of Elliptic and Parabolic PDEs

Asymptotics of Elliptic and Parabolic PDEs PDF Author: David Holcman
Publisher: Springer
ISBN: 3319768956
Category : Mathematics
Languages : en
Pages : 456

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Book Description
This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.

Theoretical Methods in Condensed Phase Chemistry

Theoretical Methods in Condensed Phase Chemistry PDF Author: S.D. Schwartz
Publisher: Springer Science & Business Media
ISBN: 0306469499
Category : Science
Languages : en
Pages : 314

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Book Description
This book is meant to provide a window on the rapidly growing body of theoretical studies of condensed phase chemistry. A brief perusal of physical chemistry journals in the early to mid 1980’s will find a large number of theor- ical papers devoted to 3-body gas phase chemical reaction dynamics. The recent history of theoretical chemistry has seen an explosion of progress in the devel- ment of methods to study similar properties of systems with Avogadro’s number of particles. While the physical properties of condensed phase systems have long been principle targets of statistical mechanics, microscopic dynamic theories that start from detailed interaction potentials and build to first principles predictions of properties are now maturing at an extraordinary rate. The techniques in use range from classical studies of new Generalized Langevin Equations, semicl- sical studies for non-adiabatic chemical reactions in condensed phase, mixed quantum classical studies of biological systems, to fully quantum studies of m- els of condensed phase environments. These techniques have become sufficiently sophisticated, that theoretical prediction of behavior in actual condensed phase environments is now possible. and in some cases, theory is driving development in experiment. The authors and chapters in this book have been chosen to represent a wide variety in the current approaches to the theoretical chemistry of condensed phase systems. I have attempted a number of groupings of the chapters, but the - versity of the work always seems to frustrate entirely consistent grouping.

Electron, Spin and Momentum Densities and Chemical Reactivity

Electron, Spin and Momentum Densities and Chemical Reactivity PDF Author: Paul G. Mezey
Publisher: Springer Science & Business Media
ISBN: 030646943X
Category : Science
Languages : en
Pages : 328

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Book Description
The electron density of a non-degenerate ground state system determines essentially all physical properties of the system. This statement of the Hohenberg–Kohn theorem of Density Functional Theory plays an exceptionally important role among all the fundamental relations of Molecular Physics. In particular, the electron density distribution and the dynamic properties of this density determine both the local and global reactivities of molecules. High resolution experimental electron densities are increasingly becoming available for more and more molecules, including macromolecules such as proteins. Furthermore, many of the early difficulties with the determination of electron densities in the vicinity of light nuclei have been overcome. These electron densities provide detailed information that gives important insight into the fundamentals of molecular structure and a better understanding of chemical reactions. The results of electron density analysis are used in a variety of applied fields, such as pharmaceutical drug discovery and biotechnology. If the functional form of a molecular electron density is known, then various molecular properties affecting reactivity can be determined by quantum chemical computational techniques or alternative approximate methods.

Organometallic Ion Chemistry

Organometallic Ion Chemistry PDF Author: B.S. Freiser
Publisher: Springer Science & Business Media
ISBN: 9400901119
Category : Science
Languages : en
Pages : 341

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Book Description
A study covering the gas-phase chemistry of organometallic ions. Topics covered include: periodic trends in gas-phase thermochemistry of transition metal-ligand systems; ab initio calculations to determine electronic structure, geometric structure, and thermochemistry of metal-containing systems; electronic state effects on metal ion reactivity; organometallic ion photochemistry; and applications of gas-phase electron transfer equilibria in organometallic redox thermochemistry. Also included are state-of-the-art mass spectrometric instrumentation used in such studies. It also features a comprehensive list (containing over 1500 entries) of metal ion-ligand bond energies, obtained from theory and experiment.