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Elements Of Statistical Mechanics

Author: D. ter Haar
Publisher: Elsevier
ISBN: 008053080X
Size: 38.28 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: 75.22 MB
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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 Statistical Thermodynamics

Author: Leonard K. Nash
Publisher: Courier Corporation
ISBN: 0486137465
Size: 34.16 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: 37.40 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.

Elements Of Nonequilibrium Statistical Mechanics

Author: V Balakrishnan
Publisher: CRC Press
ISBN: 9781420074192
Size: 68.39 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.

The Principles Of Statistical Mechanics

Author: Richard Chace Tolman
Publisher: Courier Corporation
ISBN: 9780486638966
Size: 72.59 MB
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This is the definitive treatise on the fundamentals of statistical mechanics. A concise exposition of classical statistical mechanics is followed by a thorough elucidation of quantum statistical mechanics: postulates, theorems, statistical ensembles, changes in quantum mechanical systems with time, and more. The final two chapters discuss applications of statistical mechanics to thermodynamic behavior. 1930 edition.

Mathematical Statistical Physics

Author:
Publisher: Elsevier
ISBN: 9780080479231
Size: 51.75 MB
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The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians. Introduction to a field of math with many interdisciplinary connections in physics, biology, and computer science Roadmap to the next decade of mathematical statistical mechanics Volume for reference years to come