Topics In Statistical And Theoretical Physics

Author : Brian Cowan
Publisher : World Scientific
Page : 451 pages
File Size : 41,7 Mb
Release : 2021-07-23
Category : Science
ISBN : 9781786349804

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Topics In Statistical Mechanics (Second Edition) by Brian Cowan Pdf

Building on the material learned by students in their first few years of study, Topics in Statistical Mechanics (Second Edition) presents an advanced level course on statistical and thermal physics. It begins with a review of the formal structure of statistical mechanics and thermodynamics considered from a unified viewpoint. There is a brief revision of non-interacting systems, including quantum gases and a discussion of negative temperatures. Following this, emphasis is on interacting systems. First, weakly interacting systems are considered, where the interest is in seeing how small interactions cause small deviations from the non-interacting case. Second, systems are examined where interactions lead to drastic changes, namely phase transitions. A number of specific examples is given, and these are unified within the Landau theory of phase transitions. The final chapter of the book looks at non-equilibrium systems, in particular the way they evolve towards equilibrium. This is framed within the context of linear response theory. Here fluctuations play a vital role, as is formalised in the fluctuation-dissipation theorem.The second edition has been revised particularly to help students use this book for self-study. In addition, the section on non-ideal gases has been expanded, with a treatment of the hard-sphere gas, and an accessible discussion of interacting quantum gases. In many cases there are details of Mathematica calculations, including Mathematica Notebooks, and expression of some results in terms of Special Functions.

Author : Roald K. Wangsness
Publisher : Unknown
Page : 336 pages
File Size : 47,6 Mb
Release : 1963
Category : Mathematical physics
ISBN : UOM:39015040299938

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Introductory Topics in Theoretical Physics by Roald K. Wangsness Pdf

Author : Wolfgang Nolting
Publisher : Springer
Page : 638 pages
File Size : 46,9 Mb
Release : 2018-03-02
Category : Science
ISBN : 9783319738277

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Theoretical Physics 8 by Wolfgang Nolting Pdf

Der Grundkurs Theoretische Physik deckt in 7 Bänden alle für das Diplom und für Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Der 6. Band zur Statistischen Physik wurde für die Neuauflage grundlegend überarbeitet und um aktuelle Entwicklungen ergänzt. Durch die zweifarbige Gestaltung ist der Stoff jetzt noch übersichtlicher gegliedert.

Author : Roald Klinkenberg WANGSNESS
Publisher : Unknown
Page : 0 pages
File Size : 47,5 Mb
Release : 1963
Category : Electronic
ISBN : OCLC:504474549

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Introductory Topics in Theoretical Physics. Relativity, Thermodynamics, Kinetic Theory, and Statistical Mechanics by Roald Klinkenberg WANGSNESS Pdf

Author : Giuseppe Mussardo
Publisher : Oxford University Press
Page : 1154 pages
File Size : 45,5 Mb
Release : 2020-03-26
Category : Science
ISBN : 9780191092176

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Statistical Field Theory by Giuseppe Mussardo Pdf

Fundamental concepts of phase transitions, such as order parameters, spontaneous symmetry breaking, scaling transformations, conformal symmetry and anomalous dimensions, have deeply changed the modern vision of many areas of physics, leading to remarkable developments in statistical mechanics, elementary particle theory, condensed matter physics and string theory. This self-contained book provides a thorough introduction to the fascinating world of phase transitions and frontier topics of exactly solved models in statistical mechanics and quantum field theory, such as renormalization groups, conformal models, quantum integrable systems, duality, elastic S-matrices, thermodynamic Bethe ansatz and form factor theory. The clear discussion of physical principles is accompanied by a detailed analysis of several branches of mathematics distinguished for their elegance and beauty, including infinite dimensional algebras, conformal mappings, integral equations and modular functions. Besides advanced research themes, the book also covers many basic topics in statistical mechanics, quantum field theory and theoretical physics. Each argument is discussed in great detail while providing overall coherent understanding of physical phenomena. Mathematical background is made available in supplements at the end of each chapter, when appropriate. The chapters include problems of different levels of difficulty. Advanced undergraduate and graduate students will find this book a rich and challenging source for improving their skills and for attaining a comprehensive understanding of the many facets of the subject.

Author : R. L. Dobrushin
Publisher : American Mathematical Soc.
Page : 240 pages
File Size : 53,9 Mb
Release : 1996
Category : Mathematical physics
ISBN : 0821804251

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Topics in Statistical and Theoretical Physics by R. L. Dobrushin Pdf

Author : Albrecht Lindner,Dieter Strauch
Publisher : Springer
Page : 638 pages
File Size : 47,7 Mb
Release : 2018-12-30
Category : Science
ISBN : 9783030043605

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A Complete Course on Theoretical Physics by Albrecht Lindner,Dieter Strauch Pdf

Kompakt und verständlich führt dieses Lehrbuch in die Grundlagen der theoretischen Physik ein. Dabei werden die üblichen Themen der Grundvorlesungen Mechanik, Elektrodynamik, Relativitätstheorie, Quantenmechanik , Thermodynamik und Statistik in einem Band zusammengefasst, um den Zusammenhang zwischen den einzelnen Teilgebieten besonders zu betonen. Ein Kapitel mit mathematischen Grundlagen der Physik erleichtert den Einstieg. Zahlreiche Übungsaufgaben dienen der Vertiefung des Stoffes.

Author : Malcolm P. Kennett
Publisher : Cambridge University Press
Page : 263 pages
File Size : 42,8 Mb
Release : 2020-07-16
Category : Science
ISBN : 9781108480789

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Essential Statistical Physics by Malcolm P. Kennett Pdf

Delivers a clear and concise exposition of key topics in statistical physics, accompanied by detailed derivations and practice problems.

Author : Wokyung Sung
Publisher : Springer
Page : 435 pages
File Size : 42,5 Mb
Release : 2018-10-19
Category : Science
ISBN : 9789402415841

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Statistical Physics for Biological Matter by Wokyung Sung Pdf

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 : Carlo Heissenberg,Augusto Sagnotti
Publisher : Cambridge University Press
Page : 383 pages
File Size : 52,9 Mb
Release : 2022-01-20
Category : Science
ISBN : 9781108844628

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Classical and Quantum Statistical Physics by Carlo Heissenberg,Augusto Sagnotti Pdf

Provides a detailed introduction to classical and quantum statistical physics, including modern applications within current research.

Author : Daniel C Mattis
Publisher : World Scientific Publishing Company
Page : 268 pages
File Size : 47,6 Mb
Release : 2003-04-08
Category : Electronic
ISBN : 9789813106055

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Statistical Mechanics Made Simple by Daniel C Mattis Pdf

This book is an elaboration of the author's lecture notes in a graduate course in statistical physics and thermodynamics, augmented by some material suitable for self-teaching as well as for undergraduate study. The first 4 or 5 chapters are suitable for an undergraduate course for engineers and physicists in Thermodynamics and Statistical Physics and include detailed study of the various ensembles and their connections to applied thermodynamics. The Debye law of specific heats and reasons for deviations from the Debye formulas are covered, as are the Einstein theories of Brownian motion, black-body radiation and specific heat of solids. Van der Waals gases and the reason for the apparent failure of his Law of Corresponding States are discussed. The last 5 chapters treat topics of recent interest to researchers, including: the Ising and Potts models, spin waves in ferromagnetic and anti-ferromagnetic media, sound propagation in non-ideal gases and the decay of sound waves, introduction to the understanding of glasses and spin glasses, superfluidity and superconductivity. The selection of material is wide-ranging and the mathematics for handling it completely self-contained, ranging from counting (probability theory) to quantum field theory as used in the study of fermions, bosons and as an adjunct in the solutions of the equations of classical diffusion-reaction theory. In addition to the standard material found in most recent books on statistical physics the constellation of topics covered in this text includes numerous original items: • Generalization of “negative temperature” to interacting spins • Derivation of Gibbs' factor from first principles • Exact free energy of interacting particles in 1D (e.g., classical and quantum Tonk's gas) • Introduction to virial expansions, Equations of State, Correlation Functions and “critical exponents” • Superfluidity in ideal and non-ideal fluids (both Bogolubov and Feynman theories) • Superconductivity: thermodynamical approach and the BCS theory • Derivation of “Central Limit Theorem” and its applications • Boltzmann's “H-Theorem” and the nonlinear Boltzmann equation • Exact solution of nonlinear Boltzmann Equation for electrons in time-dependent electric field and the derivation of Joule heating, transport parameters in crossed electric and magnetic fields, etc. • Frequency spectrum and decay of sound waves in gases • Exact evaluation of free energy and thermodynamic properties of the two-dimensional Ising model in regular and fully frustrated (spin-glass like) lattices • The “zipper” model of crystal fracture or polymer coagulation — calculation of Tc • Potts model in 2D: duality and Tc • “Doi's theory” of diffusion-limited chemical reactions with some exact results — including the evaluation of statistical fluctuations in radioactive decay • Thermodynamic Green Functions and their applications to fermions and bosons with an example drawn from random matrix theory and much more.

Author : G. Mussardo
Publisher : Oxford University Press
Page : 778 pages
File Size : 54,9 Mb
Release : 2010
Category : Science
ISBN : 9780199547586

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Statistical Field Theory by G. Mussardo Pdf

A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.

Author : Robert Adolʹfovich Minlos
Publisher : American Mathematical Soc.
Page : 114 pages
File Size : 47,6 Mb
Release : 2000
Category : Statistical physics
ISBN : 9780821813379

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Introduction to Mathematical Statistical Physics by Robert Adolʹfovich Minlos Pdf

This book presents a mathematically rigorous approach to the main ideas and phenomena of statistical physics. The introduction addresses the physical motivation, focusing on the basic concept of modern statistical physics, that is the notion of Gibbsian random fields. Properties of Gibbsian fields are analysed in two ranges of physical parameters: "regular" (corresponding to high-temperature and low-density regimes) where no phase transition is exhibited, and "singular" (low temperature regimes) where such transitions occur. Next, a detailed approach to the analysis of the phenomena of phase transitions of the first kind, the Pirogov-Sinai theory, is presented. The author discusses this theory in a general way and illustrates it with the example of a lattice gas with three types of particles. The conclusion gives a brief review of recent developments arising from this theory. The volume is written for the beginner, yet advanced students will benefit from it as well. The book will serve nicely as a supplementary textbook for course study. The prerequisites are an elementary knowledge of mechanics, probability theory and functional analysis.

Author : Mehran Kardar
Publisher : Cambridge University Press
Page : 211 pages
File Size : 55,6 Mb
Release : 2007-06-07
Category : Science
ISBN : 9781139464871

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Statistical Physics of Particles by Mehran Kardar Pdf

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.

Author : A. J. Berlinsky,A. B. Harris
Publisher : Springer Nature
Page : 602 pages
File Size : 53,7 Mb
Release : 2019-10-03
Category : Science
ISBN : 9783030281878

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Statistical Mechanics by A. J. Berlinsky,A. B. Harris Pdf

In a comprehensive treatment of Statistical Mechanics from thermodynamics through the renormalization group, this book serves as the core text for a full-year graduate course in statistical mechanics at either the Masters or Ph.D. level. Each chapter contains numerous exercises, and several chapters treat special topics which can be used as the basis for student projects. The concept of scaling is introduced early and used extensively throughout the text. At the heart of the book is an extensive treatment of mean field theory, from the simplest decoupling approach, through the density matrix formalism, to self-consistent classical and quantum field theory as well as exact solutions on the Cayley tree. Proceeding beyond mean field theory, the book discusses exact mappings involving Potts models, percolation, self-avoiding walks and quenched randomness, connecting various athermal and thermal models. Computational methods such as series expansions and Monte Carlo simulations are discussed, along with exact solutions to the 1D quantum and 2D classical Ising models. The renormalization group formalism is developed, starting from real-space RG and proceeding through a detailed treatment of Wilson’s epsilon expansion. Finally the subject of Kosterlitz-Thouless systems is introduced from a historical perspective and then treated by methods due to Anderson, Kosterlitz, Thouless and Young. Altogether, this comprehensive, up-to-date, and engaging text offers an ideal package for advanced undergraduate or graduate courses or for use in self study.