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Thermodynamics And Statistical Mechanics

Author: Phil Attard
Publisher: Academic Press
ISBN: 9780120663217
Size: 35.22 MB
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The account of thermodynamics and statistical mechanics in Thermodynamics and Statistical Mechanics is based on entropy and its maximization. Building from first principles, it gives a transparent explanation of the physical behaviour of equilibrium thermodynamic systems, and it presents a comprehensive, self-contained account of the modern mathematical and computational techniques of statistical mechanics. This field of study is of vital importance to researchers, lecturers and students alike. Dr Attard is a well-known researcher in statistical mechanics who has made significant contributions to this field. His book offers a fresh perspective on the foundations of statistical thermodynamics. It includes a number of new results and novel derivations, and provides an intriguing alternative to existing monographs. Especially of note are the simple graphs and figures that illustrate the text throughout and the logical organization of the material. Thermodynamics and Statistical Mechanics will be an invaluable and comprehensive reference manual for research scientists. This text can be used as a complement to existing texts and for supplementary reading. Offers a fresh perspective on the foundations of statistical thermodynamics Includes a number of new results and novel derivations, and provides an intriguing alternative to existing monographs Simple graphs and figures illustrate the text throughout Logical organization of material An invaluable and comprehensive reference manual for research scientists Can be used as a complement to existing texts and for supplementary reading

Non Equilibrium Thermodynamics And Statistical Mechanics

Author: Phil Attard
Publisher: Oxford University Press
ISBN: 0199662762
Size: 62.20 MB
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This title builds from basic principles to advanced techniques, and covers the major phenomena, methods, and results of time-dependent systems. It is a pedagogic introduction, a comprehensive reference manual, and an original research monograph--

The Statistical Foundations Of Entropy

Author: Ramshaw John D
Publisher: World Scientific
ISBN: 9813234148
Size: 74.55 MB
Format: PDF, Kindle
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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 Physics

Author: Ian Ford
Publisher: John Wiley & Sons
ISBN: 1118597494
Size: 33.36 MB
Format: PDF, Mobi
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This undergraduate textbook provides a statistical mechanicalfoundation to the classical laws of thermodynamics via acomprehensive treatment of the basics of classical thermodynamics,equilibrium statistical mechanics, irreversible thermodynamics, andthe statistical mechanics of non-equilibrium phenomena. This timely book has a unique focus on the concept of entropy,which is studied starting from the well-known ideal gas law,employing various thermodynamic processes, example systems andinterpretations to expose its role in the second law ofthermodynamics. This modern treatment of statistical physicsincludes studies of neutron stars, superconductivity and therecently developed fluctuation theorems. It also presents figuresand problems in a clear and concise way, aiding the student’sunderstanding.

Non Equilibrium Thermodynamics And The Production Of Entropy

Author: Axel Kleidon
Publisher: Springer Science & Business Media
ISBN: 9783540224952
Size: 59.26 MB
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The present volume studies the application of concepts from non-equilibrium thermodynamics to a variety of research topics. Emphasis is on the Maximum Entropy Production (MEP) principle and applications to Geosphere-Biosphere couplings. Written by leading researchers from a wide range of backgrounds, the book presents a first coherent account of an emerging field at the interface of thermodynamics, geophysics and life sciences.

Bayesian Inference And Maximum Entropy Methods In Science And Engineering

Author: Ali Mohammad-Djafari
Publisher: American Inst. of Physics
ISBN: 9780735400047
Size: 15.90 MB
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Bayesian inference and maximum entropy methods are central points of new scientific inference in mathematical physics and in all inverse problems in engineering and all probabilistic data analysis. This volume contains peer-reviewed selection of the papers presented at this international workshop. Topics included are: axiomatics and concepts, bayesian parameter estimation, algorithms for bayesian computation, deconvolution and source separation, quantum tomography, tomographic imaging and image processing, as well as bayesian inference in applications.