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Methods Of Contemporary Mathematical Statistical Physics
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Book Synopsis Methods of Contemporary Mathematical Statistical Physics by : Marek Biskup
Download or read book Methods of Contemporary Mathematical Statistical Physics written by Marek Biskup and published by Springer Science & Business Media. This book was released on 2009-03-25 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. An introductory chapter on lattice spin models is useful as a background for other lectures of the collection. The topics include new results on phase transitions for gradient lattice models (with introduction to the techniques of the reflection positivity), stochastic geometry reformulation of classical and quantum Ising models, the localization/delocalization transition for directed polymers. A general rigorous framework for theory of metastability is presented and particular applications in the context of Glauber and Kawasaki dynamics of lattice models are discussed. A pedagogical account of several recently discussed topics in nonequilibrium statistical mechanics with an emphasis on general principles is followed by a discussion of kinetically constrained spin models that are reflecting important peculiar features of glassy dynamics.
Book Synopsis Methods in Statistical Mechanics by : Osvaldo Civitarese
Download or read book Methods in Statistical Mechanics written by Osvaldo Civitarese and published by Springer Nature. This book was released on 2020-09-07 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a variety of techniques for tackling phenomena that are not amenable to the conventional approach based on the concept of probabilities. The methods described rely on the use of path integration, thermal Green functions, time-temperature propagators, Liouville operators, second quantization, and field correlators at finite density and temperature. Also exploring the statistical mechanics of unstable quantum systems, the book is intended as a supplementary or reference text for use in one-semester graduate courses on Quantum Mechanics, Thermodynamics, Electromagnetism, and Mathematical Methods in Physics.
Book Synopsis Statistical Mechanics of Lattice Systems by : Sacha Friedli
Download or read book Statistical Mechanics of Lattice Systems written by Sacha Friedli and published by Cambridge University Press. This book was released on 2017-11-23 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Book Synopsis Contemporary Problems in Statistical Physics by : George H. Weiss
Download or read book Contemporary Problems in Statistical Physics written by George H. Weiss and published by SIAM. This book was released on 1994-01-01 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of independent articles describes some mathematical problems recently developed in statistical physics and theoretical chemistry. The book introduces and reviews current research on such topics as nonlinear systems and colored noise, stochastic resonance, percolation, the trapping problem in the theory of random walks, and diffusive models for chemical kinetics. Some of these topics have never before been presented in expository book form. Applied mathematicians will be introduced to some contemporary problems in statistical physics. In addition, a number of unsolved problems currently attracting intensive research efforts are described, and some of the techniques used in this research are outlined, along with principal results and outstanding questions. A wide spectrum of mathematical techniques is covered, but the main emphasis is on introducing the mathematician to different research areas with open and interesting problems. This is an ideal starting point for the mathematician with an elementary acquaintance with the methodology of statistical physics. The material is meant to be introductory and terms are carefully defined. Many topics that require further study are introduced, providing new research ideas for the applied mathematician or thesis problems for the graduate student.
Book Synopsis Statistical Physics by : Josef Honerkamp
Download or read book Statistical Physics written by Josef Honerkamp and published by Springer Science & Business Media. This book was released on 2012-06-19 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of statistical methods to physics is essential. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts and methods in statistics than the student would need for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analysis of data are discussed as well. The book is divided into two parts, focusing first on the modeling of statistical systems and then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge. The third edition has been updated and enlarged with new sections deepening the knowledge about data analysis. Moreover, a customized set of problems with solutions is accessible on the Web at extras.springer.com.
Book Synopsis Statistical Physics by : Josef Honerkamp
Download or read book Statistical Physics written by Josef Honerkamp and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is divided into two parts. The first part looks at the modeling of statistical systems before moving on to an analysis of these systems. This second edition contains new material on: estimators based on a probability distribution for the parameters; identification of stochastic models from observations; and statistical tests and classification methods.
Book Synopsis Introduction to Mathematical Statistical Physics by : Robert Adolʹfovich Minlos
Download or read book Introduction to Mathematical Statistical Physics written by Robert Adolʹfovich Minlos and published by American Mathematical Soc.. This book was released on 2000 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Statistical Physics by : Silvio Salinas
Download or read book Introduction to Statistical Physics written by Silvio Salinas and published by Springer Science & Business Media. This book was released on 2001-02-08 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers the basic principles of statistical physics and thermodynamics. The text is pitched at the level equivalent to first-year graduate studies or advanced undergraduate studies. It presents the subject in a straightforward and lively manner. After reviewing the basic probability theory of classical thermodynamics, the author addresses the standard topics of statistical physics. The text demonstrates their relevance in other scientific fields using clear and explicit examples. Later chapters introduce phase transitions, critical phenomena and non-equilibrium phenomena.
Book Synopsis From Microphysics to Macrophysics by : Roger Balian
Download or read book From Microphysics to Macrophysics written by Roger Balian and published by Springer Science & Business Media. This book was released on 2006-11-28 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This popular, often cited text returns in a softcover edition to provide a thorough introduction to statistical physics and thermodynamics, and to exhibit the universality of the chain of ideas leading from the laws of microphysics to the macroscopic behaviour of matter. A wide range of applications illustrates the concepts, and many exercises reinforce understanding. Volume I discusses the probabilistic description of quantum or classical systems, the Boltzmann-Gibbs distributions, the conservation laws, and the interpretation of entropy as missing information. Thermodynamics and electromagnetism in matter are dealt with, as well as applications to dilute and condensed gases, and to phase transitions.
Book Synopsis From Microphysics to Macrophysics by : Roger Balian
Download or read book From Microphysics to Macrophysics written by Roger Balian and published by Springer Science & Business Media. This book was released on 2007-06-26 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This popular, often cited text returns in a softcover edition to provide a thorough introduction to statistical physics and thermodynamics, and to exhibit the universal chain of ideas leading from the laws of microphysics to the macroscopic behaviour of matter. A wide range of applications illustrates the concepts, and many exercises reinforce understanding. Volume II applies statistical methods to systems governed by quantum effects, in particular to solid state physics, explaining properties due to the crystal structure or to the lattice excitations or to the electrons. The last chapters are devoted to non-equilibrium processes and to kinetic equations, with many applications included.
Book Synopsis Mathematical Foundations of Classical Statistical Mechanics by : D.Ya. Petrina
Download or read book Mathematical Foundations of Classical Statistical Mechanics written by D.Ya. Petrina and published by CRC Press. This book was released on 2002-04-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers systems of infinite number of particles, in particular the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems. Those states are defined in terms of stationary and nonstationary solutions to the Bogolyubov
Book Synopsis Statistical Physics by : Josef Honerkamp
Download or read book Statistical Physics written by Josef Honerkamp and published by Springer. This book was released on 2002-06-10 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is divided into two parts. The first part looks at the modeling of statistical systems before moving on to an analysis of these systems. This second edition contains new material on: estimators based on a probability distribution for the parameters; identification of stochastic models from observations; and statistical tests and classification methods.
Book Synopsis Mathematical Methods For Physics by : H. W. Wyld
Download or read book Mathematical Methods For Physics written by H. W. Wyld and published by CRC Press. This book was released on 2018-03-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.
Book Synopsis Exact Methods in Low-dimensional Statistical Physics and Quantum Computing by : Stephane Ouvry
Download or read book Exact Methods in Low-dimensional Statistical Physics and Quantum Computing written by Stephane Ouvry and published by Oxford University Press. This book was released on 2010-04-22 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: Low-dimensional statistical models are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book of lectures by international leaders in the field sets these issues into a larger and more coherent theoretical perspective than is currently available.
Book Synopsis Mathematical Foundations of Classical Statistical Mechanics by : Dmitriĭ I͡Akovlevich Petrina
Download or read book Mathematical Foundations of Classical Statistical Mechanics written by Dmitriĭ I͡Akovlevich Petrina and published by CRC Press. This book was released on 1989 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing the functional method practiced in the USSR, this well- translated monograph considers the problem of investigating systems of infinite numbers of particles. It discusses the equilibrium and non- equilibrium states of infinite classical statistical systems, and investigates the thermodynamic limit for non-equilibrium systems and of the states of infinite systems, for which thermodynamic equivalence is proved. Book club price, $95. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis Introductory Statistical Mechanics for Physicists by : D. K. C. MacDonald
Download or read book Introductory Statistical Mechanics for Physicists written by D. K. C. MacDonald and published by Courier Corporation. This book was released on 2006-01-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise introduction is geared toward those concerned with solid state or low temperature physics. It presents the principles with simplicity and clarity, reviewing issues of critical interest. 1963 edition.
Author :Giovanni Gallavotti Publisher :Springer Science & Business Media ISBN 13 :9783540648833 Total Pages :364 pages Book Rating :4.6/5 (488 download)
Book Synopsis Statistical Mechanics by : Giovanni Gallavotti
Download or read book Statistical Mechanics written by Giovanni Gallavotti and published by Springer Science & Business Media. This book was released on 1999-07-21 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This clear book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasises the relation between microscopic reversibility and macroscopic irreversibility, explaining fundamental concepts in detail.
