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| Author | : Sacha Friedli |
| Publisher | : Cambridge University Press |
| Total Pages | : 643 |
| Release | : 2017-11-23 |
| Genre | : Mathematics |
| ISBN | : 1107184827 |
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
| Author | : R.K. Pathria |
| Publisher | : Elsevier |
| Total Pages | : 542 |
| Release | : 2017-02-21 |
| Genre | : Science |
| ISBN | : 1483186881 |
Statistical Mechanics discusses the fundamental concepts involved in understanding the physical properties of matter in bulk on the basis of the dynamical behavior of its microscopic constituents. The book emphasizes the equilibrium states of physical systems. The text first details the statistical basis of thermodynamics, and then proceeds to discussing the elements of ensemble theory. The next two chapters cover the canonical and grand canonical ensemble. Chapter 5 deals with the formulation of quantum statistics, while Chapter 6 talks about the theory of simple gases. Chapters 7 and 8 examine the ideal Bose and Fermi systems. In the next three chapters, the book covers the statistical mechanics of interacting systems, which includes the method of cluster expansions, pseudopotentials, and quantized fields. Chapter 12 discusses the theory of phase transitions, while Chapter 13 discusses fluctuations. The book will be of great use to researchers and practitioners from wide array of disciplines, such as physics, chemistry, and engineering.
| Author | : Kerson Huang |
| Publisher | : |
| Total Pages | : 470 |
| Release | : 1975 |
| Genre | : |
| ISBN | : 9780852263969 |
A book about statistical mechanics for students.
| Author | : Richard Chace Tolman |
| Publisher | : Courier Corporation |
| Total Pages | : 700 |
| Release | : 1979-01-01 |
| Genre | : Science |
| ISBN | : 9780486638966 |
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.
| Author | : Rodney J. Baxter |
| Publisher | : Elsevier |
| Total Pages | : 499 |
| Release | : 2016-06-12 |
| Genre | : Science |
| ISBN | : 1483265943 |
Exactly Solved Models in Statistical Mechanics
| Author | : Giovanni Gallavotti |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 344 |
| Release | : 2013-11-11 |
| Genre | : Science |
| ISBN | : 3662039524 |
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.
| Author | : Mehran Kardar |
| Publisher | : Cambridge University Press |
| Total Pages | : 211 |
| Release | : 2007-06-07 |
| Genre | : Science |
| ISBN | : 1139464876 |
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 | : Paul Ehrenfest |
| Publisher | : Courier Corporation |
| Total Pages | : 128 |
| Release | : 2014-11-12 |
| Genre | : Science |
| ISBN | : 0486163148 |
Classic 1912 article reformulated the foundations of the statistical approach in mechanics. Largely still valid, the treatment covers older formulation of statistico-mechanical investigations, modern formulation of kineto-statistics of the gas model, and more. 1959 edition.
| Author | : Johannes Voit |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 227 |
| Release | : 2013-06-29 |
| Genre | : Science |
| ISBN | : 3662044234 |
A careful examination of the interaction between physics and finance. It takes a look at the 100-year-long history of co-operation between the two fields and goes on to provide new research results on capital markets - taken from the field of statistical physics. The random walk model, well known in physics, is one good example of where the two disciplines meet. In the world of finance it is the basic model upon which the Black-Scholes theory of option pricing and hedging has been built. The underlying assumptions are discussed using empirical financial data and analogies to physical models such as fluid flows, turbulence, or superdiffusion. On this basis, new theories of derivative pricing and risk control can be formulated.
| Author | : James Sethna |
| Publisher | : OUP Oxford |
| Total Pages | : 374 |
| Release | : 2006-04-07 |
| Genre | : Science |
| ISBN | : 0191566217 |
In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.
