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Books in Nonlinear statistical and applied physics

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81-90 of 331 results in All results

Mechanics of Composite Materials

  • 1st Edition
  • Volume 29
  • October 22, 2013
  • Jacob Aboudi
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 9 0 9 9 - 7
In the last decade the author has been engaged in developing a micromechanical composite model based on the study of interacting periodic cells. In this two-phase model, the inclusion is assumed to occupy a single cell whereas the matrix material occupies several surrounding cells. A prominent feature of the micromechanical method of cells is the transition from a medium, with a periodic microstructure to an equivalent homogeneous continuum which effectively represents the composite material. Of great importance is the significant advantage of the cells model in its capability to analyze elastic as well as nonelastic constituents (e.g. viscoelastic, elastoplastic and nonlinear elastic), thus forming a unified approach in the prediction of the overall behaviour of composite material. This book deals almost exclusively with this unified theory and its various applications.

Numerical Methods for Problems in Infinite Domains

  • 1st Edition
  • Volume 33
  • October 22, 2013
  • D. Givoli
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 9 1 0 8 - 6
This volume reviews and discusses the main numerical methods used today for solving problems in infinite domains. It also presents in detail one very effective method in this class, namely the Dirichlet-to-Neumann (DtN) finite element method. The book is intended to provide the researcher or engineer with the state-of-the-art in numerical solution methods for infinite domain problems, such as the problems encountered in acoustics and structural acoustics, fluid dynamics, meteorology, and many other fields of application. The emphasis is on the fundamentals of the various methods, and on reporting recent progress and forecasting future directions. An appendix at the end of the book provides an introduction to the essentials of the finite element method, and suggests a short list of texts on the subject which are categorized by their level of mathematics.

Structure and Dynamics of Solutions

  • 1st Edition
  • Volume 79
  • October 22, 2013
  • H. Ohtaki + 1 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 9 1 4 2 - 0
Recent advances in the study of structural and dynamic properties of solutions have provided a molecular picture of solute-solvent interactions. Although the study of thermodynamic as well as electronic properties of solutions have played a role in the development of research on the rate and mechanism of chemical reactions, such macroscopic and microscopic properties are insufficient for a deeper understanding of fast chemical and biological reactions. In order to fill the gap between the two extremes, it is necessary to know how molecules are arranged in solution and how they change their positions in both the short and long range. This book has been designed to meet these criteria.It is possible to develop a sound microscopic picture for reaction dynamics in solution without molecular-level knowledge of how reacting ionic or neutral species are solvated and how rapidly the molecular environment is changing with time. A variety of actual examples is given as to how and when modern molecular approaches can be used to solve specific solution problems. The following tools are discussed: x-ray and neutron diffraction, EXAFS, and XANES, molecular dynamics and Monte Carlo computer simulations, Raman, infrared, NMR, fluorescence, and photoelectron emission spectroscopic methods, conductance and viscosity measurements, high pressure techniques, and statistical mechanics methods. Static and dynamic properties of ionic solvation, molecular solvation, ion-pair formation, ligand exchange reactions, and typical organic solvents are useful for bridging the gap between classical thermodynamic studies and modern single-molecule studies in the gas phase.The book will be of interest to solution, physical, inorganic, analytical and structural chemists as well as to chemical kineticists.

Foundations of Mechanics

  • 1st Edition
  • Volume 28
  • October 22, 2013
  • Stanislaw Bazanski
  • H. Zorski
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 9 1 6 1 - 1
In the last three decades the field of mechanics has seen spectacular progress due to the demand for applications in problems of cosmology, thermonuclear fusion, metallurgy, etc. This book provides a broad and thorough overview on the foundations of mechanics. It discusses theoretical mechanics and continuum mechanics, as well as phenomenological thermodynamics, quantum mechanics and relativistic mechanics. Each chapter presents the basic physical facts of interest without going into details and derivations and without using advanced mathematical formalism. The first part constitutes a classical exposition of Lagrange's and Hamilton's analytical mechanics on which most of the continuum theory is based. The section on continuum mechanics focuses mainly on the axiomatic foundations, with many pointers for further research in this area. Special attention is given to modern continuum thermodynamics, both for the foundations and applications. A section on quantum mechanics is also included, since the phenomenological description of various quantum phenomena is becoming of increasing importance. The work will prove indispensable to engineers wishing to keep abreast of recent theoretical advances in their field, as well as initiating and guiding future research.

Mechanics

  • 1st Edition
  • Volume 27
  • October 22, 2013
  • B. Skalmierski
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 9 1 6 4 - 2
Since mechanics is the science of motion, studies in this field now cover a wider range of problems than has been the case in earlier classical approaches. This has been achieved by the inclusion of aspects relating to the mechanics of continuous media, or strength problems. The topics covered in this book present a comprehensive treatment of the subject providing a broader perspective to the meaning of mechanics, in the modern sense of the word.Problems in the areas of strength of materials, hydromechanics and theory of elasticity are examined. The author has also endeavoured to show a certain universality of some methods seemingly specific to mechanics by tackling some problems involving electrical or electromechanical systems but based on Lagrange's equations.The book has been designed to emphasize that mechanics is a deductive system, where the aim is not only to present mechanics as the science of motion but also to show that it serves as a bridge between mathematics and its applications, in the broadest sense of the word. Mechanical problems have inspired great mathematicians to come to grips with new mathematical problems, an excellent example here being the problem of the brachistochrone which initiated the development of the variational calculus. The book gives a comprehensive overview on new theoretical findings, and gives many applications which will prove indispensable to all those interested in mechanical and allied problems.

Theory of Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamical Systems

  • 1st Edition
  • October 5, 2013
  • Alexandru Popa
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 4 0 9 5 0 2 - 1
  • eBook
    9 7 8 - 0 - 1 2 - 4 1 0 4 6 8 - 6
Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems is intended for scientists and graduate students interested in the foundations of quantum mechanics and applied scientists interested in accurate atomic and molecular models. This is a reference to those working in the new field of relativistic optics, in topics related to relativistic interactions between very intense laser beams and particles, and is based on 30 years of research. The novelty of this work consists of accurate connections between the properties of quantum equations and corresponding classical equations used to calculate the energetic values and the symmetry properties of atomic, molecular and electrodynamical systems, as well as offering applications using methods for calculating the symmetry properties and the energetic values of systems and the calculation of properties of high harmonics in interactions between very intense electromagnetic fields and electrons.

Group Theory

  • 1st Edition
  • September 3, 2013
  • Eugene P. Wigner
  • H. S. W. Massey
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 7 5 7 6 - 5
Group Theory and its Application to the Quantum Mechanics of Atomic Spectra describes the applications of group theoretical methods to problems of quantum mechanics with particular reference to atomic spectra. The manuscript first takes a look at vectors and matrices, generalizations, and principal axis transformation. Topics include principal axis transformation for unitary and Hermitian matrices; unitary matrices and the scalar product; linear independence of vectors; and real orthogonal and symmetric matrices. The publication also ponders on the elements of quantum mechanics, perturbation theory, and transformation theory and the bases for the statistical interpretation of quantum mechanics. The book discusses abstract group theory and invariant subgroups, including theorems of finite groups, factor group, and isomorphism and homomorphism. The text also reviews the algebra of representation theory, rotation groups, three-dimensional pure rotation group, and characteristics of atomic spectra. Discussions focus on eigenvalues and quantum numbers, spherical harmonics, and representations of the unitary group. The manuscript is a valuable reference for readers interested in the applications of group theoretical methods.

Multiphase Flow Analysis Using Population Balance Modeling

  • 1st Edition
  • August 19, 2013
  • Guan Heng Yeoh + 2 more
  • English
  • Hardback
    9 7 8 - 0 - 0 8 - 0 9 8 2 2 9 - 8
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 8 2 3 3 - 5
Written by leading multiphase flow and CFD experts, this book enables engineers and researchers to understand the use of PBM and CFD frameworks. Population balance approaches can now be used in conjunction with CFD, effectively driving more efficient and effective multiphase flow processes. Engineers familiar with standard CFD software, including ANSYS-CFX and ANSYS–Fluent, will be able to use the tools and approaches presented in this book in the effective research, modeling and control of multiphase flow problems.

Elementary Molecular Quantum Mechanics

  • 2nd Edition
  • August 7, 2013
  • Valerio Magnasco
  • English
  • Hardback
    9 7 8 - 0 - 4 4 4 - 6 2 6 4 7 - 9
  • eBook
    9 7 8 - 0 - 4 4 4 - 6 2 6 6 6 - 0
The second edition of Elementary Molecular Quantum Mechanics shows the methods of molecular quantum mechanics for graduate University students of Chemistry and Physics. This readable book teaches in detail the mathematical methods needed to do working applications in molecular quantum mechanics, as a preliminary step before using commercial programmes doing quantum chemistry calculations.This book aims to bridge the gap between the classic Coulson’s Valence, where application of wave mechanical principles to valence theory is presented in a fully non-mathematical way, and McWeeny’s Methods of Molecular Quantum Mechanics, where recent advances in the application of quantum mechanical methods to molecular problems are presented at a research level in a full mathematical way. Many examples and mathematical points are given as problems at the end of each chapter, with a hint for their solution. Solutions are then worked out in detail in the last section of each Chapter.

Ultrasonic Measurements for Process Control

  • 1st Edition
  • July 19, 2013
  • Lawrence C. Lynnworth
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 3 8 0 3 - 1
Engineers, scientists, and technologists will find here, for the first time, a clear and comprehensive account of applications of ultrasonics in the field of process control. Using numerous examples of high-volume, low-cost applications, the author illustrates how the use of new transducer materials and designs, combined with microprocessor-based electronics, make technical and financial sense for concepts that only a few years ago might have been of interest only to academicians. Some of the important topics covered include coupling, acoustic isolation, transducer and sensor design, and signal detection in the presence of noise.

Related subjects

Acoustics

Classical and quantum physics mechanics and fields

Fluid dynamics

Kinetic and transport theory of fluids physical properties of gases

Mathematical methods in physics

Mechanics elasticity rheology

Nonlinear statistical and mathematical physics general

Relativity and gravitation

Statistical physics and thermodynamics

Ultrasonics