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Statistics And The Dynamics Of A Particle
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Book Synopsis Statistical Physics of Particles by : Mehran Kardar
Download or read book Statistical Physics of Particles written by Mehran Kardar and published by Cambridge University Press. This book was released on 2007-06-07 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical physics has its origins in attempts to describe the thermal properties of matter in terms of its constituent particles, and has played a fundamental role in the development of quantum mechanics. Based on lectures taught by Professor Kardar at MIT, this textbook introduces the central concepts and tools of statistical physics. It contains a chapter on probability and related issues such as the central limit theorem and information theory, and covers interacting particles, with an extensive description of the van der Waals equation and its derivation by mean field approximation. It also contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set of solutions is available to lecturers on a password protected website at www.cambridge.org/9780521873420. A companion volume, Statistical Physics of Fields, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group.
Book Synopsis Many-Particle Dynamics and Kinetic Equations by : C. Cercignani
Download or read book Many-Particle Dynamics and Kinetic Equations written by C. Cercignani and published by Springer Science & Business Media. This book was released on 1997-07-31 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: As our title suggests, there are two aspects in the subject of this book. The first is the mathematical investigation of the dynamics of infinite systems of in teracting particles and the description of the time evolution of their states. The second is the rigorous derivation of kinetic equations starting from the results of the aforementioned investigation. As is well known, statistical mechanics started in the last century with some papers written by Maxwell and Boltzmann. Although some of their statements seemed statistically obvious, we must prove that they do not contradict what me chanics predicts. In some cases, in particular for equilibrium states, it turns out that mechanics easily provides the required justification. However things are not so easy, if we take a step forward and consider a gas is not in equilibrium, as is, e.g., the case for air around a flying vehicle. Questions of this kind have been asked since the dawn of the kinetic theory of gases, especially when certain results appeared to lead to paradoxical conclu sions. Today this matter is rather well understood and a rigorous kinetic theory is emerging. The importance of these developments stems not only from the need of providing a careful foundation of such a basic physical theory, but also to exhibit a prototype of a mathematical construct central to the theory of non-equilibrium phenomena of macroscopic size.
Book Synopsis Large Scale Dynamics of Interacting Particles by : Herbert Spohn
Download or read book Large Scale Dynamics of Interacting Particles written by Herbert Spohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with one of the fundamental problems of nonequilibrium statistical mechanics: the explanation of large-scale dynamics (evolution differential equations) from models of a very large number of interacting particles. This book addresses both researchers and students. Much of the material presented has never been published in book-form before.
Book Synopsis Statics and the Dynamics of a Particle by : William Duncan MacMillan
Download or read book Statics and the Dynamics of a Particle written by William Duncan MacMillan and published by . This book was released on 1927 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Physics: Statics, Dynamics And Renormalization by : Leo P Kadanoff
Download or read book Statistical Physics: Statics, Dynamics And Renormalization written by Leo P Kadanoff and published by World Scientific Publishing Company. This book was released on 2000-05-05 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material presented in this invaluable textbook has been tested in two courses. One of these is a graduate-level survey of statistical physics; the other, a rather personal perspective on critical behavior. Thus, this book defines a progression starting at the book-learning part of graduate education and ending in the midst of topics at the research level. To supplement the research-level side the book includes some research papers. Several of these are classics in the field, including a suite of six works on self-organized criticality and complexity, a pair on diffusion-limited aggregation, some papers on correlations near critical points, a few of the basic sources on the development of the real-space renormalization group, and several papers on magnetic behavior in a plain geometry. In addition, the author has included a few of his own papers.
Book Synopsis Classical Dynamics of Particles and Systems by : Jerry B. Marion
Download or read book Classical Dynamics of Particles and Systems written by Jerry B. Marion and published by Academic Press. This book was released on 2013-10-22 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Dynamics of Particles and Systems presents a modern and reasonably complete account of the classical mechanics of particles, systems of particles, and rigid bodies for physics students at the advanced undergraduate level. The book aims to present a modern treatment of classical mechanical systems in such a way that the transition to the quantum theory of physics can be made with the least possible difficulty; to acquaint the student with new mathematical techniques and provide sufficient practice in solving problems; and to impart to the student some degree of sophistication in handling both the formalism of the theory and the operational technique of problem solving. Vector methods are developed in the first two chapters and are used throughout the book. Other chapters cover the fundamentals of Newtonian mechanics, the special theory of relativity, gravitational attraction and potentials, oscillatory motion, Lagrangian and Hamiltonian dynamics, central-force motion, two-particle collisions, and the wave equation.
Book Synopsis Particle Accelerator Physics I by : Helmut Wiedemann
Download or read book Particle Accelerator Physics I written by Helmut Wiedemann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second edition of Particle Accelerator Physics, Vol. 1, is mainly a reprint of the first edition without significant changes in content. The bibliography has been updated to include more recent progress in the field of particle accelerators. With the help of many observant readers a number of misprints and errors could be eliminated. The author would like to express his sincere appreciation to all those who have pointed out such shortcomings and wel comes such information and any other relevant information in the future. The author would also like to express his special thanks to the editor Dr. Helmut Lotsch and his staff for editorial as well as technical advice and support which contributed greatly to the broad acceptance of this text and made a second edition of both volumes necessary. Palo Alto, California Helmut Wiedemann November 1998 VII Preface to the First Edition The purpose of this textbook is to provide a comprehensive introduction into the physics of particle accelerators and particle beam dynamics. Parti cle accelerators have become important research tools in high energy physics as well as sources of incoherent and coherent radiation from the far infra red to hard x-rays for basic and applied research. During years of teaching accelerator physics it became clear that the single most annoying obstacle to get introduced into the field is the absence of a suitable textbook.
Book Synopsis A Treatise on Dynamics of a Particle by : Edward John Routh
Download or read book A Treatise on Dynamics of a Particle written by Edward John Routh and published by . This book was released on 1898 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Physics of Fields by : Mehran Kardar
Download or read book Statistical Physics of Fields written by Mehran Kardar and published by Cambridge University Press. This book was released on 2007-06-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: While many scientists are familiar with fractals, fewer are familiar with scale-invariance and universality which underlie the ubiquity of their shapes. These properties may emerge from the collective behaviour of simple fundamental constituents, and are studied using statistical field theories. Initial chapters connect the particulate perspective developed in the companion volume, to the coarse grained statistical fields studied here. Based on lectures taught by Professor Kardar at MIT, this textbook demonstrates how such theories are formulated and studied. Perturbation theory, exact solutions, renormalization groups, and other tools are employed to demonstrate the emergence of scale invariance and universality, and the non-equilibrium dynamics of interfaces and directed paths in random media are discussed. Ideal for advanced graduate courses in statistical physics, it contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set available to lecturers at www.cambridge.org/9780521873413.
Book Synopsis Dynamics of Charged Particles and their Radiation Field by : Herbert Spohn
Download or read book Dynamics of Charged Particles and their Radiation Field written by Herbert Spohn and published by Cambridge University Press. This book was released on 2004-08-02 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained and systematic introduction to classical electron theory and its quantization, non-relativistic quantum electrodynamics. The first half of the book covers the classical theory. It discusses the well-defined Abraham model of extended charges in interaction with the electromagnetic field, and gives a study of the effective dynamics of charges under the condition that, on the scale given by the size of the charge distribution, they are far apart and the applied potentials vary slowly. The second half covers the quantum theory, leading to a coherent presentation of non-relativistic quantum electrodynamics. Topics discussed include non-perturbative properties of the basic Hamiltonian, the structure of resonances, the relaxation to the ground state through emission of photons, the non-perturbative derivation of the g-factor of the electron and the stability of matter.
Book Synopsis Computational Many-Particle Physics by : Holger Fehske
Download or read book Computational Many-Particle Physics written by Holger Fehske and published by Springer. This book was released on 2007-12-10 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking for the real state of play in computational many-particle physics? Look no further. This book presents an overview of state-of-the-art numerical methods for studying interacting classical and quantum many-particle systems. A broad range of techniques and algorithms are covered, and emphasis is placed on their implementation on modern high-performance computers. This excellent book comes complete with online files and updates allowing readers to stay right up to date.
Book Synopsis Analytical Dynamics Of A Particle (hons) by : Ganguly & Saha
Download or read book Analytical Dynamics Of A Particle (hons) written by Ganguly & Saha and published by New Central Book Agency. This book was released on 1996 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Molecular Dynamics Simulations in Statistical Physics: Theory and Applications by : Hiqmet Kamberaj
Download or read book Molecular Dynamics Simulations in Statistical Physics: Theory and Applications written by Hiqmet Kamberaj and published by Springer Nature. This book was released on 2020-03-20 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents computer simulations using molecular dynamics techniques in statistical physics, with a focus on macromolecular systems. The numerical methods are introduced in the form of computer algorithms and can be implemented in computers using any desired computer programming language, such as Fortran 90, C/C++, and others. The book also explains how some of these numerical methods and their algorithms can be implemented in the existing computer programming software of macromolecular systems, such as the CHARMM program. In addition, it examines a number of advanced concepts of computer simulation techniques used in statistical physics as well as biological and physical systems. Discussing the molecular dynamics approach in detail to enhance readers understanding of the use of this method in statistical physics problems, it also describes the equations of motion in various statistical ensembles to mimic real-world experimental conditions. Intended for graduate students and research scientists working in the field of theoretical and computational biophysics, physics and chemistry, the book can also be used by postgraduate students of other disciplines, such as applied mathematics, computer sciences, and bioinformatics. Further, offering insights into fundamental theory, it as a valuable resource for expert practitioners and programmers and those new to the field.
Book Synopsis Dynamics of the Standard Model by : John F. Donoghue
Download or read book Dynamics of the Standard Model written by John F. Donoghue and published by Cambridge University Press. This book was released on 2023-01-31 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2014 edition, now OA, provides a detailed and practical account of the Standard Model of particle physics.
Book Synopsis A Treatise on the Analytical Dynamics of Particles and Rigid Bodies by : Edmund Taylor Whittaker
Download or read book A Treatise on the Analytical Dynamics of Particles and Rigid Bodies written by Edmund Taylor Whittaker and published by . This book was released on 1904 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Fluid Dynamics by : Roman Jackiw
Download or read book Lectures on Fluid Dynamics written by Roman Jackiw and published by Springer Science & Business Media. This book was released on 2002-05-17 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the motivation and reviewing the classical theory in a new form; Discusses conservation laws and Euler equations; For one-dimensional cases, the models presented are completely integrable
Book Synopsis Granular Dynamics, Contact Mechanics and Particle System Simulations by : Colin Thornton
Download or read book Granular Dynamics, Contact Mechanics and Particle System Simulations written by Colin Thornton and published by Springer. This book was released on 2015-09-03 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the Discrete Element Method (DEM) technique, a discontinuum modelling approach that takes into account the fact that granular materials are composed of discrete particles which interact with each other at the microscale level. This numerical simulation technique can be used both for dispersed systems in which the particle-particle interactions are collisional and compact systems of particles with multiple enduring contacts. The book provides an extensive and detailed explanation of the theoretical background of DEM. Contact mechanics theories for elastic, elastic-plastic, adhesive elastic and adhesive elastic-plastic particle-particle interactions are presented. Other contact force models are also discussed, including corrections to some of these models as described in the literature, and important areas of further research are identified. A key issue in DEM simulations is whether or not a code can reliably simulate the simplest of systems, namely the single particle oblique impact with a wall. This is discussed using the output obtained from the contact force models described earlier, which are compared for elastic and inelastic collisions. In addition, further insight is provided for the impact of adhesive particles. The author then moves on to provide the results of selected DEM applications to agglomerate impacts, fluidised beds and quasi-static deformation, demonstrating that the DEM technique can be used (i) to mimic experiments, (ii) explore parameter sweeps, including limiting values, or (iii) identify new, previously unknown, phenomena at the microscale. In the DEM applications the emphasis is on discovering new information that enhances our rational understanding of particle systems, which may be more significant than developing a new continuum model that encompasses all microstructural aspects, which would most likely prove too complicated for practical implementation. The book will be of interest to academic and industrial researchers working in particle technology/process engineering and geomechanics, both experimentalists and theoreticians.