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Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics, Sagawa Takahiro


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Автор: Sagawa Takahiro
Название:  Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics
ISBN: 9789811666438
Издательство: Springer
Классификация:




ISBN-10: 9811666431
Обложка/Формат: Paperback
Страницы: 160
Вес: 0.23 кг.
Дата издания: 23.03.2022
Серия: Springerbriefs in mathematical physics
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 11 illustrations, black and white; x, 149 p. 11 illus.; 11 illustrations, black and white; x, 149 p. 11 illus.
Размер: 23.39 x 15.60 x 0.86 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Rich information-theoretic structure in out-of-equilibrium thermodynamics exists in both the classical and quantum regimes, leading to the fruitful interplay among statistical physics, quantum information theory, and mathematical theories such as matrix analysis and asymptotic probability theory.


Microstates, entropy and quanta

Автор: Koks, Don
Название: Microstates, entropy and quanta
ISBN: 3030024288 ISBN-13(EAN): 9783030024284
Издательство: Springer
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Цена: 11878.00 р.
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Описание:

Statistical mechanics: the bane of many a physics student, and traditionally viewed as a long parade of ensembles, partition functions, and partial derivatives. But the subject needn't be arcane. When pared back to its underlying concepts and built from the ground up, statistical mechanics takes on a charm of its own, and sheds light on all manner of physical phenomena.

This book presents a straightforward introduction to the key concepts in statistical mechanics, following the popular style of the author's highly successful textbook "Explorations in Mathematical Physics". Offering a clear, conceptual approach to the subject matter, the book presents a treatment that is mathematically complete, while remaining very accessible to undergraduates.

It commences by asking: why does an ink drop spread out in a bathtub of water? This showcases the importance of counting configurations, which leads naturally to ideas of microstates, energy, entropy, thermodynamics, and physical chemistry. With this foundation, the Boltzmann distribution writes itself in its fullest form, and this opens the door to the Maxwell distribution and related areas of thermal conductivity and viscosity. Quantum ideas then appear: bosons via Einstein's and Debye's theories of heat capacity, and fermions via electrical conduction and low-temperature heat capacity of metals. The text ends with a detailed derivation of blackbody radiation, and uses this to discuss the greenhouse effect, lasers, and cosmology.

Suitable for use with core undergraduate courses in statistical mechanics and thermodynamics, this book concentrates on using solid mathematics, while avoiding cumbersome notation. All the necessary mathematical steps are included in the body of the text and in the worked examples.

Reviews of Explorations in Mathematical Physics by Don Koks, 2006

"With enjoyable and sometimes surprising excursions along the way, the journey provides a fresh look at many familiar topics, as it takes us from basic linear mathematics to general relativity... look forward to having your geometric intuition nourished and expanded by the author's intelligent commentaries." (Eugen Merzbacher, University of North Carolina)

"... an interesting supplement to standard texts for teaching mathematical methods in physics, as it will add alternative views that could serve as additional material." (S. Marcelja, Australian Journal of Physics) "... a tour through the main ideas forming the language of modern mathematical physics ...it is a difficult task for the author to decide what is a good balance between the topics and their presentation, but in this case it has been achieved. ...for those physicists who would like to be exposed to clear motivation and careful explanation of the basics of the present-day apparatus of mathematical physics." (Ivailo Mladenov, Mathematical Reviews).

Maximum Entropy and Bayesian Methods

Автор: Kenneth M. Hanson; Richard N. Silver
Название: Maximum Entropy and Bayesian Methods
ISBN: 9401062846 ISBN-13(EAN): 9789401062848
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Proceedings of the Fifteenth International Workshop on Maximum Entropy and Bayesian Methods, Santa Fe, New Mexico, USA, 1995

Non-equilibrium Thermodynamics and the Production of Entropy

Автор: Axel Kleidon; Ralph D. Lorenz
Название: Non-equilibrium Thermodynamics and the Production of Entropy
ISBN: 3642061354 ISBN-13(EAN): 9783642061356
Издательство: Springer
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Цена: 16977.00 р.
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Описание: Title is included in the Springer Complexity programme.

Entropy and the Tao of Counting: A Brief Introduction to Statistical Mechanics and the Second Law of Thermodynamics

Автор: Sharp Kim
Название: Entropy and the Tao of Counting: A Brief Introduction to Statistical Mechanics and the Second Law of Thermodynamics
ISBN: 3030354598 ISBN-13(EAN): 9783030354596
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book provides a complete and accurate atomic level statistical mechanical explanation of entropy and the second law of thermodynamics.

Entropy-Enthalpy Compensation

Автор: Starikov, Evgeni
Название: Entropy-Enthalpy Compensation
ISBN: 9814877301 ISBN-13(EAN): 9789814877305
Издательство: Taylor&Francis
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Цена: 17762.00 р.
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Описание: This book dwells on these posers. It combines two chapters written by globally recognized specialists. Chapter 1 deals with general issues and suggests a definite approach to how we may answer the posers. This might provide other interesting strategic perspectives in the general theoretical physical chemistry field.

Maximum-Entropy and Bayesian Methods in Science and Engineering

Автор: G. Erickson; C.R. Smith
Название: Maximum-Entropy and Bayesian Methods in Science and Engineering
ISBN: 9401078718 ISBN-13(EAN): 9789401078719
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This volume has its origin in the Fifth, Sixth and Seventh Workshops on and Bayesian Methods in Applied Statistics", held at "Maximum-Entropy the University of Wyoming, August 5-8, 1985, and at Seattle University, August 5-8, 1986, and August 4-7, 1987.

Entropy and Entropy Generation

Автор: J.S. Shiner
Название: Entropy and Entropy Generation
ISBN: 1402004168 ISBN-13(EAN): 9781402004162
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Suitable for physicists, chemists, biologists and engineers, this title offers an understanding of entropy and entropy generation in both fundamental aspects and application to concrete problems. It covers such topics: as quantum thermodynamics, nonlinear processes, gravitational and irreversible thermodynamics, and more.

Frontiers In Quantum Information Research - Proceedings Of The Summer School On Decoherence, Entanglement & Entropy And Proceedings Of The Workshop On Mps & Dmrg

Автор: Nakahara Mikio Et Al
Название: Frontiers In Quantum Information Research - Proceedings Of The Summer School On Decoherence, Entanglement & Entropy And Proceedings Of The Workshop On Mps & Dmrg
ISBN: 9814407186 ISBN-13(EAN): 9789814407182
Издательство: World Scientific Publishing
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Цена: 20117.00 р.
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Описание: A collection of lecture notes/contributions from a summer school on decoherence, entanglement & entropy and a workshop on MPS (matrix product states) & DMRG (density matrix renormalization group). It is prepared in a self-contained manner so that readers with a modest background in quantum information and quantum computing may understand.

Entropy Measures, Maximum Entropy Principle and Emerging Applications

Автор: Karmeshu
Название: Entropy Measures, Maximum Entropy Principle and Emerging Applications
ISBN: 3642055311 ISBN-13(EAN): 9783642055317
Издательство: Springer
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Цена: 30039.00 р.
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Описание: The last two decades have witnessed an enormous growth with regard to ap- plications of information theoretic framework in areas of physical, biological, engineering and even social sciences. Claude Shannon in 1948 laid the foundation of the field of information theory in the context of communication theory.

The Divergence Theorem and Sets of Finite Perimeter

Автор: Pfeffer, Washek F.
Название: The Divergence Theorem and Sets of Finite Perimeter
ISBN: 0367381516 ISBN-13(EAN): 9780367381516
Издательство: Taylor&Francis
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Цена: 9798.00 р.
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Описание:

This book is devoted to a detailed development of the divergence theorem. The framework is that of Lebesgue integration - no generalized Riemann integrals of Henstock-Kurzweil variety are involved.





In Part I the divergence theorem is established by a combinatorial argument involving dyadic cubes. Only elementary properties of the Lebesgue integral and Hausdorff measures are used. The resulting integration by parts is sufficiently general for many applications. As an example, it is applied to removable singularities of Cauchy-Riemann, Laplace, and minimal surface equations.





The sets of finite perimeter are introduced in Part II. Both the geometric and analytic points of view are presented. The equivalence of these viewpoints is obtained via the functions of bounded variation. These functions are studied in a self-contained manner with no references to Sobolev's spaces. The coarea theorem provides a link between the sets of finite perimeter and functions of bounded variation.





The general divergence theorem for bounded vector fields is proved in Part III. The proof consists of adapting the combinatorial argument of Part I to sets of finite perimeter. The unbounded vector fields and mean divergence are also discussed. The final chapter contains a characterization of the distributions that are equal to the flux of a continuous vector field.

Quantum f-divergences in von neumann algebras

Автор: Hiai, Fumio
Название: Quantum f-divergences in von neumann algebras
ISBN: 981334198X ISBN-13(EAN): 9789813341982
Издательство: Springer
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Цена: 12577.00 р.
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Описание: 1 Introduction.- 2 Standard f -Divergences.- 3 Rйnyi Divergences and Sandwiched Rйnyi Divergences.- 4 Maximal f -Divergences.- 5 Measured f -Divergences.- 6 Reversibility and Quantum Divergences.- 7 Reversibility and Measurements.- 8 Preservation of Maximal f -Divergences.- A Preliminaries on von Neumann Algebras.- B Preliminaries on Positive Self-Adjoint Operators.- C Operator Convex Functions on (0,1).- D Operator Connections of Normal Positive Functionals.

High-Entropy Materials: A Brief Introduction

Автор: Zhang Yong
Название: High-Entropy Materials: A Brief Introduction
ISBN: 9811385289 ISBN-13(EAN): 9789811385285
Издательство: Springer
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Цена: 25155.00 р.
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Описание: This book draws on the latest research to discuss the history and development of high-entropy alloys and ceramics in bulk, film, and fiber form.


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