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Elements Of Statistical Mechanics

Author: D. ter Haar
Publisher: Elsevier
ISBN: 008053080X
Size: 58.15 MB
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Following the Boltzmann-Gibbs approach to statistical mechanics, this new edition of Dr ter Haar's important textbook, Elements of Statistical Mechanics, provides undergraduates and more senior academics with a thorough introduction to the subject. Each chapter is followed by a problem section and detailed bibliography. The first six chapters of the book provide a thorough introduction to the basic methods of statistical mechanics and indeed the first four may be used as an introductory course in themselves. The last three chapters offer more detail on the equation of state, with special emphasis on the van der Waals gas; the second-quantisation approach to many-body systems, with an examination of two-time temperature-dependent Green functions; phase transitions, including various approximation methods for treating the Ising model, a brief discussion of the exact solution of the two-dimensional square Ising model, and short introductions to renormalisation group methods and the Yang and Lee theory of phase transitions. In the problem section which follows each chapter the reader is asked to complete proofs of basic theory and to apply that theory to various physical situations. Each chapter bibliography includes papers which are of historical interest. A further help to the reader are the solutions to selected problems which appear at the end of the book.

Elements Of Statistical Mechanics

Author: Ivo Sachs
Publisher: Cambridge University Press
ISBN: 1139452460
Size: 36.26 MB
Format: PDF
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This 2006 textbook provides a concise introduction to the key concepts and tools of statistical mechanics. It also covers advanced topics such as non-relativistic quantum field theory and numerical methods. After introducing classical analytical techniques, such as cluster expansion and Landau theory, the authors present important numerical methods with applications to magnetic systems, Lennard-Jones fluids and biophysics. Quantum statistical mechanics is discussed in detail and applied to Bose-Einstein condensation and topics in astrophysics and cosmology. In order to describe emergent phenomena in interacting quantum systems, canonical non-relativistic quantum field theory is introduced and then reformulated in terms of Feynman integrals. Combining the authors' many years' experience of teaching courses in this area, this textbook is ideal for advanced undergraduate and graduate students in physics, chemistry and mathematics.

Elements Of Nonequilibrium Statistical Mechanics

Author: V Balakrishnan
Publisher: CRC Press
ISBN: 9781420074192
Size: 55.77 MB
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This book deals with the basic principles, techniques, and advances being made--both experimentally and theoretically--in the study of nonequilibrium phenomena, particularly in statistical physics, chemical physics, biological physics, complex systems, and several other areas. Accessible to senior undergraduate students and post-graduate students, this self-contained book offers a choice of topics that enables them to form a coherent picture of the subject. Coverage includes equations and formulas for calculating distribution, diffusion, and dynamic mobility under different conditions. The book concludes with a generalized Langevin equation and the power spectrum of pulse sequences.

Equilibrium Statistical Mechanics

Author: E. Atlee Jackson
Publisher: Courier Corporation
ISBN: 0486149390
Size: 31.11 MB
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Key features include an elementary introduction to probability, distribution functions, and uncertainty; a review of the concept and significance of energy; and various models of physical systems. 1968 edition.

Elements Of Statistical Thermodynamics

Author: Léonard Kollender Nash
Publisher:
ISBN:
Size: 46.49 MB
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"This book has been designed to show how new powers and new insights, operative in the realm of classical macroscopic thermodynamics, emerge from its affiliation with the microcosmic realm of atoms. To begin, analysis of very simple microcanonical ensembles leads to a derivation of the Boltzmann distribution law. Then, exploitation of this relation is shown to invest the concepts of entropy and equilibrium with new meaning and significance, and the reader comes to see how thermodynamic magnitudes (e.g., gaseous heat capacities and equilibrium constants) can be calculated from spectroscopic data." --Back cover.

Elements Of Statistical Thermodynamics

Author: Leonard K. Nash
Publisher: Courier Corporation
ISBN: 0486137465
Size: 35.85 MB
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Encompassing essentially all aspects of statistical mechanics that appear in undergraduate texts, this concise, elementary treatment shows how an atomic-molecular perspective yields new insights into macroscopic thermodynamics. 1974 edition.

Mathematical Foundations Of Statistical Mechanics

Author: Aleksandr I?Akovlevich Khinchin
Publisher: Courier Corporation
ISBN: 9780486601472
Size: 78.73 MB
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Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.

Statistical Mechanics

Author: R K Pathria
Publisher: Academic Press
ISBN: 9780123821898
Size: 24.49 MB
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Statistical Mechanics explores the physical properties of matter based on the dynamic behavior of its microscopic constituents. After a historical introduction, this book presents chapters about thermodynamics, ensemble theory, simple gases theory, Ideal Bose and Fermi systems, statistical mechanics of interacting systems, phase transitions, and computer simulations. This edition includes new topics such as BoseEinstein condensation and degenerate Fermi gas behavior in ultracold atomic gases and chemical equilibrium. It also explains the correlation functions and scattering; fluctuationdissipation theorem and the dynamical structure factor; phase equilibrium and the Clausius-Clapeyron equation; and exact solutions of one-dimensional fluid models and two-dimensional Ising model on a finite lattice. New topics can be found in the appendices, including finite-size scaling behavior of Bose-Einstein condensates, a summary of thermodynamic assemblies and associated statistical ensembles, and pseudorandom number generators. Other chapters are dedicated to two new topics, the thermodynamics of the early universe and the Monte Carlo and molecular dynamics simulations. This book is invaluable to students and practitioners interested in statistical mechanics and physics. Bose-Einstein condensation in atomic gases Thermodynamics of the early universe Computer simulations: Monte Carlo and molecular dynamics Correlation functions and scattering Fluctuation-dissipation theorem and the dynamical structure factor Chemical equilibrium Exact solution of the two-dimensional Ising model for finite systems Degenerate atomic Fermi gases Exact solutions of one-dimensional fluid models Interactions in ultracold Bose and Fermi gases Brownian motion of anisotropic particles and harmonic oscillators

Entropy Large Deviations And Statistical Mechanics

Author: Richard.S. Ellis
Publisher: Springer Science & Business Media
ISBN: 1461385334
Size: 27.61 MB
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This book has two main topics: large deviations and equilibrium statistical mechanics. I hope to convince the reader that these topics have many points of contact and that in being treated together, they enrich each other. Entropy, in its various guises, is their common core. The large deviation theory which is developed in this book focuses upon convergence properties of certain stochastic systems. An elementary example is the weak law of large numbers. For each positive e, P{ISn/nl 2: e} con verges to zero as n --+ 00, where Sn is the nth partial sum of indepen dent identically distributed random variables with zero mean. Large deviation theory shows that if the random variables are exponentially bounded, then the probabilities converge to zero exponentially fast as n --+ 00. The exponen tial decay allows one to prove the stronger property of almost sure conver gence (Sn/n --+ 0 a.s.). This example will be generalized extensively in the book. We will treat a large class of stochastic systems which involve both indepen dent and dependent random variables and which have the following features: probabilities converge to zero exponentially fast as the size of the system increases; the exponential decay leads to strong convergence properties of the system. The most fascinating aspect of the theory is that the exponential decay rates are computable in terms of entropy functions. This identification between entropy and decay rates of large deviation probabilities enhances the theory significantly.