thermodynamics and statistical mechanics equilibrium by entropy maximisation

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Thermodynamics And Statistical Mechanics

Author : Phil Attard
ISBN : 012066321X
Genre : Science
File Size : 20. 43 MB
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Description This account of 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. Importance of Topic This field of study is of vital importance to researchers, lecturers and students alike. Why This Title 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
ISBN : 9780199662760
Genre : Science
File Size : 63. 88 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--

Statistical Physics

Author : Ian Ford
ISBN : 9781118597491
Genre : Science
File Size : 31. 92 MB
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This undergraduate textbook provides a statistical mechanical foundation to the classical laws of thermodynamics via a comprehensive treatment of the basics of classical thermodynamics, equilibrium statistical mechanics, irreversible thermodynamics, and the 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 and interpretations to expose its role in the second law of thermodynamics. This modern treatment of statistical physics includes studies of neutron stars, superconductivity and the recently developed fluctuation theorems. It also presents figures and problems in a clear and concise way, aiding the student’s understanding.

The Statistical Foundations Of Entropy

Author : Ramshaw John D
ISBN : 9789813234147
Genre : Science
File Size : 21. 45 MB
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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

Mathematical And Numerical Modelling Of Heterostructure Semiconductor Devices From Theory To Programming

Author : E.A.B. Cole
ISBN : 184882937X
Genre : Mathematics
File Size : 76. 79 MB
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Part of my lecturing work in the School of Mathematics at the University of Leeds involved teaching quantum mechanics and statistical mechanics to mathematics undergraduates, and also mathematical methods to undergraduate students in the School of Electronic and Electrical Engineering at the University. The subject of this book has arisen as a result of research collaboration on device modelling with members of the School of Electronic and Electrical Engineering. I wanted to write a book which would be of practical help to those wishing to learn more about the mathematical and numerical methods involved in heteroju- tion device modelling. I have introduced only a comparatively small number of t- ics, and the reader may think that other important topics should have been included. But of the topics which I have introduced, I hope that I have given the reader some practical advice concerning the implementation of the methods which are discussed. This practical advice includes demonstrating how the implementation of the me- ods may be tailored to the speci?c device being modelled, and also includes some sections of computer code to illustrate this implementation. I have also included some background theory regarding the origins of the routines.

Non Equilibrium Thermodynamics And The Production Of Entropy

Author : Axel Kleidon
ISBN : 3540224955
Genre : Science
File Size : 72. 48 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.

Beyond The Second Law

Author : Roderick C. Dewar
ISBN : 9783642401541
Genre : Technology & Engineering
File Size : 64. 68 MB
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The Second Law, a cornerstone of thermodynamics, governs the average direction of dissipative, non-equilibrium processes. But it says nothing about their actual rates or the probability of fluctuations about the average. This interdisciplinary book, written and peer-reviewed by international experts, presents recent advances in the search for new non-equilibrium principles beyond the Second Law, and their applications to a wide range of systems across physics, chemistry and biology. Beyond The Second Law brings together traditionally isolated areas of non-equilibrium research and highlights potentially fruitful connections between them, with entropy production playing the unifying role. Key theoretical concepts include the Maximum Entropy Production principle, the Fluctuation Theorem, and the Maximum Entropy method of statistical inference. Applications of these principles are illustrated in such diverse fields as climatology, cosmology, crystal growth morphology, Earth system science, environmental physics, evolutionary biology and technology, fluid turbulence, microbial biogeochemistry, plasma physics, and radiative transport, using a wide variety of analytical and experimental techniques. Beyond The Second Law will appeal to students and researchers wishing to gain an understanding of entropy production and its central place in the science of non-equilibrium systems – both in detail and in terms of the bigger picture.

Lectures On Gas Theory

Author : Ludwig Boltzmann
ISBN : 9780486152332
Genre : Science
File Size : 37. 5 MB
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A masterpiece of theoretical physics, this classic contains a comprehensive exposition of the kinetic theory of gases. It combines rigorous mathematic analysis with a pragmatic treatment of physical and chemical applications.

Generalised Thermostatistics

Author : Jan Naudts
ISBN : 0857293559
Genre : Mathematics
File Size : 70. 49 MB
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The domain of non-extensive thermostatistics has been subject to intensive research over the past twenty years and has matured significantly. Generalised Thermostatistics cuts through the traditionalism of many statistical physics texts by offering a fresh perspective and seeking to remove elements of doubt and confusion surrounding the area. The book is divided into two parts - the first covering topics from conventional statistical physics, whilst adopting the perspective that statistical physics is statistics applied to physics. The second developing the formalism of non-extensive thermostatistics, of which the central role is played by the notion of a deformed exponential family of probability distributions. Presented in a clear, consistent, and deductive manner, the book focuses on theory, part of which is developed by the author himself, but also provides a number of references towards application-based texts. Written by a leading contributor in the field, this book will provide a useful tool for learning about recent developments in generalized versions of statistical mechanics and thermodynamics, especially with respect to self-study. Written for researchers in theoretical physics, mathematics and statistical mechanics, as well as graduates of physics, mathematics or engineering. A prerequisite knowledge of elementary notions of statistical physics and a substantial mathematical background are required.

Thermodynamics And Regulation Of Biological Processes

Author : Ingolf Lamprecht
ISBN : STANFORD:36105032159506
Genre : Science
File Size : 80. 98 MB
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