Download or read book Measurements and Correlation Functions written by Paul Cecil Martin and published by CRC Press. This book was released on 1968 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quantum Inverse Scattering Method and Correlation Functions written by V. E. Korepin and published by Cambridge University Press. This book was released on 1997-03-06 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Go rdon equation or the quantum non-linear Schrödinger equation). These models are the subject of much attention amongst physicists and mathematicians.The present work is an introduction to this important and exciting area. It consists of four parts. The first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the authors have made significant contributions to the area. Here they describe some of the most recent and general approaches and include some new results.The book will be essential reading for all mathematical physicists working in field theory and statistical physics.

Download or read book Correlation Functions and Quasiparticle Interactions in Condensed Matter written by J.W. Halley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a NATO Advanced Study Institute devoted to the study of dynamical correlation functions of the form (I) J~e-lwtA(O)B(O)A(t)B(t»dt where A and B are physical operations in the Heisenberg representa tion and -~ Tr(e ••• )

Download or read book Hydrodynamic Fluctuations Broken Symmetry And Correlation Functions written by Dieter Forster and published by CRC Press. This book was released on 2018-03-08 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface: "The purpose of this book is to present and apply a language and to discuss methods which make it very convenient to exploit such analogies, and which are uniquely suited to describe and explain non-equilibrium phenomena in a rich variety of many-particle systems: the language of time correlation functions and linear response theory."

Download or read book Algebraic Bethe Ansatz And Correlation Functions An Advanced Course written by Nikita Slavnov and published by World Scientific. This book was released on 2022-05-12 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is unlikely that today there is a specialist in theoretical physics who has not heard anything about the algebraic Bethe ansatz. Over the past few years, this method has been actively used in quantum statistical physics models, condensed matter physics, gauge field theories, and string theory.This book presents the state-of-the-art research in the field of algebraic Bethe ansatz. Along with the results that have already become classic, the book also contains the results obtained in recent years. The reader will get acquainted with the solution of the spectral problem and more complex problems that are solved using this method. Various methods for calculating scalar products and form factors are described in detail. Special attention is paid to applying the algebraic Bethe ansatz to the calculation of the correlation functions of quantum integrable models. The book also elaborates on multiple integral representations for correlation functions and examples of calculating the long-distance asymptotics of correlations.This text is intended for advanced undergraduate and postgraduate students, and specialists interested in the mathematical methods of studying physical systems that allow them to obtain exact results.

Download or read book Multivariate Characteristic and Correlation Functions written by Zoltán Sasvári and published by Walter de Gruyter. This book was released on 2013-03-22 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a certain sense characteristic functions and correlation functions are the same, the common underlying concept is positive definiteness. Many results in probability theory, mathematical statistics and stochastic processes can be derived by using these functions. While there are books on characteristic functions of one variable, books devoting some sections to the multivariate case, and books treating the general case of locally compact groups, interestingly there is no book devoted entirely to the multidimensional case which is extremely important for applications. This book is intended to fill this gap at least partially. It makes the basic concepts and results on multivariate characteristic and correlation functions easily accessible to both students and researchers in a comprehensive manner. The first chapter presents basic results and should be read carefully since it is essential for the understanding of the subsequent chapters. The second chapter is devoted to correlation functions, their applications to stationary processes and some connections to harmonic analysis. In Chapter 3 we deal with several special properties, Chapter 4 is devoted to the extension problem while Chapter 5 contains a few applications. A relatively large appendix comprises topics like infinite products, functional equations, special functions or compact operators.

Download or read book An Introduction to Fluorescence Correlation Spectroscopy written by Thorsten Wohland and published by Myprint. This book was released on 2020-11-05 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Fluorescence Correlation Spectroscopy represents a comprehensive introduction to fluorescence correlation spectroscopy (FCS), a biophysical experimental technique increasingly used to study and quantify molecular mobility, concentrations and interactions in vitro, as well as in living cells and multicellular organisms. Students and researchers who are new to FCS can use the book as the first introduction to the technique, while those who are already using FCS regularly in their research may find it useful to deepen their understanding of the technique, its possibilities, limitations, and potential pitfalls as well as ways to avoid them. This book introduces the reader to all aspects of FCS needed for practical usage of the technique in their research. In the beginning the concept of fluorescence intensity fluctuations and their auto- and cross-correlation functions are explained to give readers an understanding of the underlying principles. This is followed by an overview of instrumental FCS setups and various ways of data collection and processing, the derivations of theoretical models relating the experimentally obtained correlation functions to the underlying molecular processes, and the description of the fitting of experimental data with those models. Mathematically more involved portions are separated from the rest of the text and can be easily skipped by readers more interested in the conceptual and practical aspects of FCS. The book contains interactive graphics and is accompanied by an interactive computable document file allowing the reader to test the dependence of FCS results on a variety of experimental parameters, and to gain practical insights into FCS data fitting. Key Features Introduces the concepts of FCS in an accessible way, supported by animations and graphics in the ebook. Includes a supplementary interactive computable document file that allows the reader to experiment with various FCS setup and fit parameters, allowing readers to test their understanding and simulate experimental outcomes. Provides rigorous mathematical derivations of fundamental FCS equations and models. Pedagogical features include questions, short reviews and critical discussions of literature relevant to the particular chapter that include applications and fundamental developments in the field of FCS.

Download or read book Correlation Theory of Stationary and Related Random Functions written by A.M. Yaglom and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Correlation Theory of Stationary and Related Random Functions is an elementary introduction to the most important part of the theory dealing only with the first and second moments of these functions. This theory is a significant part of modern probability theory and offers both intrinsic mathematical interest and many concrete and practical applications. Stationary random functions arise in connection with stationary time series which are so important in many areas of engineering and other applications. This book presents the theory in such a way that it can be understood by readers without specialized mathematical backgrounds, requiring only the knowledge of elementary calculus. The first volume in this two-volume exposition contains the main theory; the supplementary notes and references of the second volume consist of detailed discussions of more specialized questions, some more additional material (which assumes a more thorough mathematical background than the rest of the book) and numerous references to the extensive literature.

Download or read book Advances in Digital Image Correlation DIC written by Jean-Noël Périé and published by MDPI. This book was released on 2020-04-21 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital image correlation (DIC) has become the most popular full field measurement technique in experimental mechanics. It is a versatile and inexpensive measurement method that provides a large amount of experimental data. Because DIC takes advantage of a huge variety of image modalities, the technique allows covering a wide range of space and time scales. Stereo extends the scope of DIC to non-planar cases, which are more representative of industrial use cases. With the development of tomography, digital volume correlation now provides access to volumetric data, enabling the study of the inner behavior of materials and structures.However, the use of DIC data to quantitatively validate models or accurately identify a set of constitutive parameters remains challenging. One of the reasons lies in the compromises between measurement resolution and spatial resolution. Second, the question of the boundary conditions is still open. Another reason is that the measured displacements are not directly comparable with usual simulations. Finally, the use of full field data leads to new computational challenges.

Download or read book An Introduction to the Theory of Stationary Random Functions written by A. M. Yaglom and published by Courier Corporation. This book was released on 2004-01-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part treatment covers the general theory of stationary random functions and the Wiener-Kolmogorov theory of extrapolation and interpolation of random sequences and processes. Beginning with the simplest concepts, it covers the correlation function, the ergodic theorem, homogenous random fields, and general rational spectral densities, among other topics. Numerous examples appear throughout the text, with emphasis on the physical meaning of mathematical concepts. Although rigorous in its treatment, this is essentially an introduction, and the sole prerequisites are a rudimentary knowledge of probability and complex variable theory. 1962 edition.

Download or read book Polymer Electrolyte Fuel Cells 15 PEFC 15 written by H. A. Gasteiger and published by The Electrochemical Society. This book was released on 2015 with total page 1391 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Probability and Random Processes for Electrical and Computer Engineers written by John A. Gubner and published by Cambridge University Press. This book was released on 2006-06-01 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of probability is a powerful tool that helps electrical and computer engineers to explain, model, analyze, and design the technology they develop. The text begins at the advanced undergraduate level, assuming only a modest knowledge of probability, and progresses through more complex topics mastered at graduate level. The first five chapters cover the basics of probability and both discrete and continuous random variables. The later chapters have a more specialized coverage, including random vectors, Gaussian random vectors, random processes, Markov Chains, and convergence. Describing tools and results that are used extensively in the field, this is more than a textbook; it is also a reference for researchers working in communications, signal processing, and computer network traffic analysis. With over 300 worked examples, some 800 homework problems, and sections for exam preparation, this is an essential companion for advanced undergraduate and graduate students. Further resources for this title, including solutions (for Instructors only), are available online at www.cambridge.org/9780521864701.

Download or read book Correlations in Low Dimensional Quantum Gases written by Guillaume Lang and published by Springer. This book was released on 2018-12-29 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses several aspects of thermodynamics and correlations in the strongly-interacting regime of one-dimensional bosons, a topic at the forefront of current theoretical and experimental studies. Strongly correlated systems of one-dimensional bosons have a long history of theoretical study. Their experimental realisation in ultracold atom experiments is the subject of current research, which took off in the early 2000s. Yet these experiments raise new theoretical questions, just begging to be answered. Correlation functions are readily available for experimental measurements. In this book, they are tackled by means of sophisticated theoretical methods developed in condensed matter physics and mathematical physics, such as bosonization, the Bethe Ansatz and conformal field theory. Readers are introduced to these techniques, which are subsequently used to investigate many-body static and dynamical correlation functions.

Download or read book Nonlinear system identification 2 Nonlinear system structure identification written by Robert Haber and published by Springer Science & Business Media. This book was released on 1999 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second part of a two-volume handbook presenting a comprehensive overview of nonlinear dynamic system identification. The books include many aspects of nonlinear processes such as modelling, parameter estimation, structure search, nonlinearity and model validity tests.

Download or read book Applied RVE Reconstruction and Homogenization of Heterogeneous Materials written by Yves Rémond and published by John Wiley & Sons. This book was released on 2016-06-14 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied RVE Reconstruction and Homogenization of Heterogeneous Materials Statistical correlation functions are a well-known class of statistical descriptors that can be used to describe the morphology and the microstructure-properties relationship. A comprehensive study has been performed for the use of these correlation functions for the reconstruction and homogenization in nanocomposite materials. Correlation functions are measured from different techniques such as microscopy (SEM or TEM), small angle X-ray scattering (SAXS) and can be generated through Monte Carlo simulations. In this book, different experimental techniques such as SAXS and image processing are presented, which are used to measure two-point correlation function correlation for multi-phase polymer composites. Higher order correlation functions must be calculated or measured to increase the precision of the statistical continuum approach. To achieve this aim, a new approximation methodology is utilized to obtain N-point correlation functions for multiphase heterogeneous materials. The two-point functions measured by different techniques have been exploited to reconstruct the microstructure of heterogeneous media. Statistical continuum theory is used to predict the effective thermal conductivity and elastic modulus of polymer composites. N-point probability functions as statistical descriptors of inclusions have been exploited to solve strong contrast homogenization for effective thermal conductivity and elastic modulus properties of heterogeneous materials. Finally, reconstructed microstructure is used to calculate effective properties and damage modeling of heterogeneous materials.

Download or read book Conformal Invariance and Applications to Statistical Mechanics written by Claude Itzykson and published by World Scientific. This book was released on 1988 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains Introductory Notes and major reprints on conformal field theory and its applications to 2-dimensional statistical mechanics of critical phenomena. The subject relates to many different areas in contemporary physics and mathematics, including string theory, integrable systems, representations of infinite Lie algebras and automorphic functions.

Download or read book Noise and Vibration Analysis written by Anders Brandt and published by John Wiley & Sons. This book was released on 2023-06-27 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: NOISE AND VIBRATION ANALYSIS Complete guide to signal processing and modal analysis theory, with coverage of practical applications and a plethora of learning tools Featuring numerous line diagrams and illustrations, the newly revised and updated Second Edition of Noise and Vibration Analysis is a comprehensive and practical guide that combines both signal processing and modal analysis theory with their practical application in noise and vibration analysis. This new edition has been updated with three new chapters covering experimental modal analysis, operational modal analysis, and practical vibration measurements. Taking a practical learning approach, the text includes exercises that allow the content to be developed in an academic course framework or as supplementary material for private and further study, including multiple choice questions at the end of each chapter. An accompanying website hosts a MATLAB® toolbox, additional problems and examples, and videos. Written by a highly qualified author with significant experience in the field, Noise and Vibration Analysis covers topics such as: Dynamic signals and systems, covering periodic, random, and transient signals, RMS value and power, and the Continuous Fourier Transform Time data analysis, covering the sampling theorem, analog, digital, smoothing, and acoustic octave filters, time data differentiation, and FFT-based processing Statistics and random processes, covering expected value, errors in estimates, and probability distribution in random theory, and tests of normality and stationarity Fundamental mechanics, covering Newton’s laws, alternative quantities for describing motion, frequency response plot formats, and rotating mass Noise and Vibration Analysis is an excellent resource for researchers and engineers from the automotive, aerospace, mechanical, or electronics industries who work with experimental or analytical vibration analysis and/or acoustics. The text is also valuable for graduate students enrolled in vibration analysis, experimental structural dynamics, or applied signal analysis courses.