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Author : Thorstein Wereide
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.:/5 (321 download)
Download or read book Statistical Theory of Energy and Matter written by Thorstein Wereide and published by . This book was released on 1915 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. L. Mehta
Publisher : Academic Press
ISBN 13 : 1483258564
Total Pages : 270 pages
Book Rating : 4.4/5 (832 download)
Download or read book Random Matrices and the Statistical Theory of Energy Levels written by M. L. Mehta and published by Academic Press. This book was released on 2014-05-12 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random Matrices and the Statistical Theory of Energy Levels focuses on the processes, methodologies, calculations, and approaches involved in random matrices and the statistical theory of energy levels, including ensembles and density and correlation functions. The publication first elaborates on the joint probability density function for the matrix elements and eigenvalues, including the Gaussian unitary, symplectic, and orthogonal ensembles and time-reversal invariance. The text then examines the Gaussian ensembles, as well as the asymptotic formula for the level density and partition function. The manuscript elaborates on the Brownian motion model, circuit ensembles, correlation functions, thermodynamics, and spacing distribution of circular ensembles. Topics include continuum model for the spacing distribution, thermodynamic quantities, joint probability density function for the eigenvalues, stationary and nonstationary ensembles, and ensemble averages. The publication then examines the joint probability density functions for two nearby spacings and invariance hypothesis and matrix element correlations. The text is a valuable source of data for researchers interested in random matrices and the statistical theory of energy levels.
Author : Wilhelm Brenig
Publisher : Springer Science & Business Media
ISBN 13 : 3642746853
Total Pages : 298 pages
Book Rating : 4.6/5 (427 download)
Download or read book Statistical Theory of Heat written by Wilhelm Brenig and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on the statistical theory of nonequilibrium phenomena grew out of lecture notes for courses on advanced statistical mechanics that were held more or less regularly at the Physics Department of the Technical University in Munich. My aim in these lectures was to incorporate various developments of many-body theory made during the last 20-30 years, in particular the correlation function approach, not just as an "extra" alongside the more "classical" results; I tried to use this approach as a unifying concept for the presentation of older as well as more recent results. I think that after so many excellent review articles and advanced treatments, correlation functions and memory kernels are as much a matter of course in nonequilibrium statistical physics as partition functions are in equilibrium theory, and should be used as such in regular courses and textbooks. The relations between correlation functions and earlier vehicles for the formulation of nonequilibrium theory such as kinetic equations, master equations, Onsager's theory, etc. , are discussed in detail in this volume. Since today there is growing interest in nonlinear phenomena I have included several chapters on related problems. There is some nonlinear response theory, some results on phenomenological nonlinear equations and some microscopic applications of the nonlinear response formalism. The main focus, however, is on the linear regime.
Author : Peter Michael Harman
Publisher : Cambridge University Press
ISBN 13 : 9780521288125
Total Pages : 196 pages
Book Rating : 4.2/5 (881 download)
Download or read book Energy, Force and Matter written by Peter Michael Harman and published by Cambridge University Press. This book was released on 1982-04-30 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: By focusing on the conceptual issues faced by nineteenth century physicists, this book clarifies the status of field theory, the ether, and thermodynamics in the work of the period. A remarkably synthetic account of a difficult and fragmentary period in scientific development.
Author : Wokyung Sung
Publisher : Springer
ISBN 13 : 940241584X
Total Pages : 444 pages
Book Rating : 4.4/5 (24 download)
Download or read book Statistical Physics for Biological Matter written by Wokyung Sung and published by Springer. This book was released on 2018-10-19 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to cover a broad range of topics in statistical physics, including statistical mechanics (equilibrium and non-equilibrium), soft matter and fluid physics, for applications to biological phenomena at both cellular and macromolecular levels. It is intended to be a graduate level textbook, but can also be addressed to the interested senior level undergraduate. The book is written also for those involved in research on biological systems or soft matter based on physics, particularly on statistical physics. Typical statistical physics courses cover ideal gases (classical and quantum) and interacting units of simple structures. In contrast, even simple biological fluids are solutions of macromolecules, the structures of which are very complex. The goal of this book to fill this wide gap by providing appropriate content as well as by explaining the theoretical method that typifies good modeling, namely, the method of coarse-grained descriptions that extract the most salient features emerging at mesoscopic scales. The major topics covered in this book include thermodynamics, equilibrium statistical mechanics, soft matter physics of polymers and membranes, non-equilibrium statistical physics covering stochastic processes, transport phenomena and hydrodynamics. Generic methods and theories are described with detailed derivations, followed by applications and examples in biology. The book aims to help the readers build, systematically and coherently through basic principles, their own understanding of nonspecific concepts and theoretical methods, which they may be able to apply to a broader class of biological problems.
Author : Richard H Lyon
Publisher : Elsevier
ISBN 13 : 1483296431
Total Pages : 289 pages
Book Rating : 4.4/5 (832 download)
Download or read book Theory and Application of Statistical Energy Analysis written by Richard H Lyon and published by Elsevier. This book was released on 2014-06-28 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This up-to-date second edition provides a comprehensive examination of the theory and application of Statistical Energy Analysis (SEA) in acoustics and vibration. Complete with examples and data taken from real problems this unique book also exploresthe influence of computers on SEA and emphasizes computer based SEA calculations. In addition to a discussion of the relationship between SEA and other procedures used in response estimation, Theory and Application of Statistical Energy Anlaysis, SecondEdition, explores the basic relationships between model and wave descriptions of systems.
Author : Terrell L. Hill
Publisher : Courier Corporation
ISBN 13 : 0486130908
Total Pages : 546 pages
Book Rating : 4.4/5 (861 download)
Download or read book An Introduction to Statistical Thermodynamics written by Terrell L. Hill and published by Courier Corporation. This book was released on 2012-06-08 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Four-part treatment covers principles of quantum statistical mechanics, systems composed of independent molecules or other independent subsystems, and systems of interacting molecules, concluding with a consideration of quantum statistics.
Author : Ramamurti Shankar
Publisher : Cambridge University Press
ISBN 13 : 1108363989
Total Pages : 557 pages
Book Rating : 4.1/5 (83 download)
Download or read book Quantum Field Theory and Condensed Matter written by Ramamurti Shankar and published by Cambridge University Press. This book was released on 2017-08-31 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm–Pines and Chern–Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.
Author : Alekseĭ Alekseevich Abrikosov
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)
Download or read book Methods of Quantum Field Theory in Statistical Physics written by Alekseĭ Alekseevich Abrikosov and published by . This book was released on 1963 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lawrence P. Horwitz
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681749475
Total Pages : 145 pages
Book Rating : 4.6/5 (817 download)
Download or read book Relativistic Many-Body Theory and Statistical Mechanics written by Lawrence P. Horwitz and published by Morgan & Claypool Publishers. This book was released on 2018-05-31 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1941, E.C.G. Stueckelberg wrote a paper, based on ideas of V. Fock, that established the foundations of a theory that could covariantly describe the classical and quantum relativistic mechanics of a single particle. Horwitz and Piron extended the applicability of this theory in 1973 (to be called the SHP theory) to the many-body problem. It is the purpose of this book to explain this development and provide examples of its applications. We first review the basic ideas of the SHP theory, both classical and quantum, and develop the appropriate form of electromagnetism on this dynamics. After studying the two body problem classically and quantum mechanically, we formulate the N-body problem. We then develop the general quantum scattering theory for the N-body problem and prove a quantum mechanical relativistically covariant form of the Gell-Mann-Low theorem. The quantum theory of relativistic spin is then developed, including spin-statistics, providing the necessary apparatus for Clebsch-Gordan additivity, and we then discuss the phenomenon of entanglement at unequal times. In the second part, we develop relativistic statistical mechanics, including a mechanism for stability of the off-shell mass, and a high temperature phase transition to the mass shell. Finally, some applications are given, such as the explanation of the Lindneret alexperiment, the proposed experiment of Palacios et al which should demonstrate relativistic entanglement (at unequal times), the space-time lattice, low energy nuclear reactions and applications to black hole physics.
Author : Sir Norman Lockyer
Publisher :
ISBN 13 :
Total Pages : 692 pages
Book Rating : 4.3/5 (91 download)
Download or read book Nature written by Sir Norman Lockyer and published by . This book was released on 1916 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Madan Lal Mehta
Publisher : Elsevier
ISBN 13 : 008047411X
Total Pages : 707 pages
Book Rating : 4.0/5 (84 download)
Download or read book Random Matrices written by Madan Lal Mehta and published by Elsevier. This book was released on 2004-10-06 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random Matrices gives a coherent and detailed description of analytical methods devised to study random matrices. These methods are critical to the understanding of various fields in in mathematics and mathematical physics, such as nuclear excitations, ultrasonic resonances of structural materials, chaotic systems, the zeros of the Riemann and other zeta functions. More generally they apply to the characteristic energies of any sufficiently complicated system and which have found, since the publication of the second edition, many new applications in active research areas such as quantum gravity, traffic and communications networks or stock movement in the financial markets. This revised and enlarged third edition reflects the latest developements in the field and convey a greater experience with results previously formulated. For example, the theory of skew-orthogoanl and bi-orthogonal polynomials, parallel to that of the widely known and used orthogonal polynomials, is explained here for the first time. - Presentation of many new results in one place for the first time - First time coverage of skew-orthogonal and bi-orthogonal polynomials and their use in the evaluation of some multiple integrals - Fredholm determinants and Painlevé equations - The three Gaussian ensembles (unitary, orthogonal, and symplectic); their n-point correlations, spacing probabilities - Fredholm determinants and inverse scattering theory - Probability densities of random determinants
Author : Edouard Brézin
Publisher : Cambridge University Press
ISBN 13 : 1139490141
Total Pages : 177 pages
Book Rating : 4.1/5 (394 download)
Download or read book Introduction to Statistical Field Theory written by Edouard Brézin and published by Cambridge University Press. This book was released on 2010-07-22 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge of the renormalization group and field theory is a key part of physics, and is essential in condensed matter and particle physics. Written for advanced undergraduate and beginning graduate students, this textbook provides a concise introduction to this subject. The textbook deals directly with the loop expansion of the free energy, also known as the background field method. This is a powerful method, especially when dealing with symmetries, and statistical mechanics. In focussing on free energy, the author avoids long developments on field theory techniques. The necessity of renormalization then follows.
Author : Elliott H. Lieb
Publisher :
ISBN 13 : 9783662034385
Total Pages : 675 pages
Book Rating : 4.0/5 (343 download)
Download or read book The Stability of Matter written by Elliott H. Lieb and published by . This book was released on 1997 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers - starting with a brilliant article by one of the masters of the field - gives an excellent current review of our knowledge of matter. Partially basing his work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. In this collection the reader will find general results together with deep insights into quantum systems combined in papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structure. The book is suitable as an accompanying text for a graduate course in quantum mechanics. This new edition contains significant new results on matter in magnetic fields.
Author : Remi Joel Hakim
Publisher : World Scientific
ISBN 13 : 9814464120
Total Pages : 567 pages
Book Rating : 4.8/5 (144 download)
Download or read book Introduction To Relativistic Statistical Mechanics: Classical And Quantum written by Remi Joel Hakim and published by World Scientific. This book was released on 2011-03-28 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics — to which a major part is devoted — will be of more interest since, not only it applies to quantum plasma physics, but also to nuclear matter and to strong magnetic field, cosmology, etc. Although the domain of gauge theory is not covered in this book, the topic is not completely forgotten, in particular in the domain of plasma physics. This book is particularly readable for graduate students and a fortiori to young researchers for whom it offers methods and also appropriate schemes to deal with the current problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.
Author : Andreas Wipf
Publisher : Springer Nature
ISBN 13 : 3030832635
Total Pages : 568 pages
Book Rating : 4.0/5 (38 download)
Download or read book Statistical Approach to Quantum Field Theory written by Andreas Wipf and published by Springer Nature. This book was released on 2021-10-25 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.
Author : Chang L. Tien
Publisher : CRC Press
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.3/5 (91 download)
Download or read book Statistical Thermodynamics written by Chang L. Tien and published by CRC Press. This book was released on 1979-06 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
