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Statistical Physics

Author: Josef Honerkamp
Publisher: Springer Science & Business Media
ISBN: 3662047632
Size: 15.27 MB
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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.

Statistical Physics

Author: J. Honerkamp
Publisher: Springer Verlag
ISBN: 9783540639787
Size: 41.94 MB
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"Statistical Physics" offers an advanced treatment with numerous applications to modern problems of relevance to researchers and students. Supplementing the concepts and methods employed in statistical mechanics, the book also covers the fundamentals of probability and statistics, mathematical statistics, and stochastic methods for the analysis of data. 81 illus.

Monte Carlo Simulation In Statistical Physics

Author: Kurt Binder
Publisher: Springer Science & Business Media
ISBN: 9783642031632
Size: 64.77 MB
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Monte Carlo Simulation in Statistical Physics deals with the computer simulation of many-body systems in condensed-matter physics and related fields of physics, chemistry and beyond, to traffic flows, stock market fluctuations, etc.). Using random numbers generated by a computer, probability distributions are calculated, allowing the estimation of the thermodynamic properties of various systems. This book describes the theoretical background to several variants of these Monte Carlo methodsand gives a systematic presentation from which newcomers can learn to perform such simulations and to analyze their results. The fifth edition covers Classical as well as Quantum Monte Carlo methods. Furthermore a new chapter on the sampling of free energy landscapes has been added. To help students in their work a special web server has been installed to host programs and discussion groups (http://wwwcp.tphys.uni-heidelberg.de). Prof. Binder was the winner of the Berni J. Alder CECAM Award for Computational Physics 2001 as well as the Boltzmann Medal in 2007.

Elementary Statistical Physics

Author: Charles Kittel
Publisher: Courier Corporation
ISBN: 0486138909
Size: 41.22 MB
Format: PDF
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Graduate-level text covers properties of the Fermi-Dirac and Bose-Einstein distributions; the interrelated subjects of fluctuations, thermal noise, and Brownian movement; and the thermodynamics of irreversible processes. 1958 edition.

Supermathematics And Its Applications In Statistical Physics

Author: Franz Wegner
Publisher: Springer
ISBN: 3662491702
Size: 60.66 MB
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This text presents the mathematical concepts of Grassmann variables and the method of supersymmetry to a broad audience of physicists interested in applying these tools to disordered and critical systems, as well as related topics in statistical physics. Based on many courses and seminars held by the author, one of the pioneers in this field, the reader is given a systematic and tutorial introduction to the subject matter. The algebra and analysis of Grassmann variables is presented in part I. The mathematics of these variables is applied to a random matrix model, path integrals for fermions, dimer models and the Ising model in two dimensions. Supermathematics - the use of commuting and anticommuting variables on an equal footing - is the subject of part II. The properties of supervectors and supermatrices, which contain both commuting and Grassmann components, are treated in great detail, including the derivation of integral theorems. In part III, supersymmetric physical models are considered. While supersymmetry was first introduced in elementary particle physics as exact symmetry between bosons and fermions, the formal introduction of anticommuting spacetime components, can be extended to problems of statistical physics, and, since it connects states with equal energies, has also found its way into quantum mechanics. Several models are considered in the applications, after which the representation of the random matrix model by the nonlinear sigma-model, the determination of the density of states and the level correlation are derived. Eventually, the mobility edge behavior is discussed and a short account of the ten symmetry classes of disorder, two-dimensional disordered models, and superbosonization is given.

Scaling And Renormalization In Statistical Physics

Author: John Cardy
Publisher: Cambridge University Press
ISBN: 9780521499590
Size: 20.86 MB
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A thoroughly modern graduate-level introduction to the theory of critical behaviour. Covers phase transitions, mean field theory, phase diagrams, fixed points, cross-over behaviour, finite-size scaling, a simple approach to the epsilon expansion, low-dimensional systems, surface critical behaviour, random systems, percolation, polymer statistics, critical dynamics and conformal symmetry. Includes many problems.

Statistical Mechanics

Author: Shang-Keng Ma
Publisher: World Scientific
ISBN: 9789971966072
Size: 75.68 MB
Format: PDF, ePub
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This is a unique and exciting graduate and advanced undergraduate text written by a highly respected physicist who had made significant contributions to the subject. This book conveys to the reader that statistical mechanics is a growing and lively subject. It deals with many modern topics from a physics standpoint in a very physical way. Particular emphasis is given to the fundamental assumption of statistical mechanics S=1n and its logical foundation. Calculational rules are derived without resorting to abstract ensemble theory.

The Statistical Foundations Of Entropy

Author: Ramshaw John D
Publisher: World Scientific
ISBN: 9813234148
Size: 61.25 MB
Format: PDF
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This book presents an innovative unified approach to the statistical foundations of entropy and the fundamentals of equilibrium statistical mechanics. These intimately related subjects are often developed in a fragmented historical manner which obscures the essential simplicity of their logical structure. In contrast, this book critically reassesses and systematically reorganizes the basic concepts into a simpler sequential framework which reveals more clearly their logical relationships. The inherent indistinguishability of identical particles is emphasized, and the resulting unification of classical and quantum statistics is discussed in detail. The discussion is focused entirely on fundamental concepts, so applications are omitted. The book is written at the advanced undergraduate or beginning graduate level, and will be useful as a concise supplement to conventional books and courses in statistical mechanics, thermal physics, and thermodynamics. It is also suitable for self-study by those seeking a deeper and more detailed analysis of the fundamentals. Contents: IntroductionFundamentalsThe Hypothesis of Equal a priori ProbabilitiesConstraintsThe Principle of Maximum EntropyThermodynamic SystemsThe Canonical and Grand Canonical Probability DistributionsMany-Particle SystemsIdentical Particles Are Inherently Indistinguishable Readership: Advanced undergraduate and graduate students, and researchers in statistical physics. Keywords: Entropy;Statistical Mechanics;Statistical Physics;Thermal Physics;Thermodynamics;Information Theory;Probability;Statistics;Fluctuations;Uncertainty;Maximum Entropy;MaxEnt;Indistinguishability;Canonical;Grand Canonical;Boltzmann Distribution;Fermi-Dirac;Bose-Einstein;Gibbs;Boltzmann;JaynesReview: Key Features: The sequential logical structure of the treatment, in which each level naturally follows from and builds upon the previous levels; concepts are not introduced until they are neededDespite brevity (made possible by omitting applications), the fundamental concepts are discussed in greater depth, detail, and generality than is usual in much larger and more expensive booksDiscusses and explains in detail the inherent indistinguishability of identical particles in both classical and quantum mechanics, correcting the misconception to the contrary widespread in most other books, thus unifying classical and quantum statistics within a single general framework

Statistical Mechanics

Author: Teunis C. Dorlas
Publisher: Dover Publications
ISBN: 9780486812854
Size: 52.82 MB
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Suitable for advanced undergraduates and graduate students, this introductory approach's three-part treatment covers thermodynamics, fundamentals of statistical mechanics, and a detailed view of model applications. Includes problems with solutions. 1999 edition.

Introduction To Statistical Physics

Author: Silvio Salinas
Publisher: Springer Science & Business Media
ISBN: 9780387951195
Size: 20.33 MB
Format: PDF, ePub
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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.