Statistical Mechanics and Entropy

Erscheinungsjahr 2022
ISBN: 978-1-77469-357-5
Verlag: Arcler Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 480 Seiten, Electronic book text, Format (B × H): 152 mm x 229 mm

Statistical Mechanics and Entropy is an edited book consisting of 16 contemporaneous open-access articles that highlight different aspects of the definition of entropy in statistical mechanics and other fields. The book includes a reflection on the real physical meaning of thermodynamic entropy, and several misconceptions regarding the violation of the second law of thermodynamics by perpetual motion machines, Maxwell's demon, vortex tube, etc. It overviews the concept of generalized Boltzmann-Gibbs entropy in dynamical systems (e.g. Kolmogorov–Sinai entropy), information theory (e.g. Rényi and Shannon entropies), and statistical physics (e.g. Tsallis entropy). It includes quantum modifications and extensions of equilibrium statistical mechanics. Fundamental laws of nature and thermodynamics are expanded from classical simple systems to quantum systems, as well as to more complex systems in biology, cosmology, economy and communication networks.

Reading this book requires some knowledge in thermodynamics, calculus and differential equations. This book is intended to reach an academic audience ranging from undergraduate students to experienced researchers.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

- Chapter 1 The Elusive Nature of Entropy and its Physical Meaning
- Chapter 2 The Second Law and Entropy Misconceptions Demystified
- Chapter 3 Thermodynamics, Statistical Mechanics and Entropy
- Chapter 4 Entropy and its Correlations with Other Related Quantities
- Chapter 5 A Brief Review of Generalized Entropies
- Chapter 6 Beyond Boltzmann–Gibbs–Shannon in Physics and Elsewhere
- Chapter 7 The Gibbs Paradox: Lessons from Thermodynamics
- Chapter 8 The Gibbs Paradox and Particle Individuality
- Chapter 9 Mixing Indistinguishable Systems Leads to a Quantum Gibbs Paradox
- Chapter 10 Thermal Quantum Spacetime
- Chapter 11 Thermodynamics, Stability and Hawking–Page Transition of Black Holes from Non-Extensive Statistical Mechanics in Quantum Geometry
- Chapter 12 Gravitational Entropy and Inflation
- Chapter 13 Statistical Mechanics and Thermodynamics of Viral Evolution
- Chapter 14 Energy, Entropy and Exergy in Communication Networks
- Chapter 15 Statistical Mechanics of Zooplankton
- Chapter 16 Statistical Thermodynamics of Economic Systems

Über Autor(innen)

Olga Moreira is a Ph.D. in Astrophysics and B.Sc. in Physics and Applied Mathematics. She is an experienced technical writer and researcher which former fellowships include postgraduate positions at two of the most renown European institutions in the fields of Astrophysics and Space Science (the European Southern Observatory, and the European Space Agency). Presently, she is an independent scientist working on projects involving machine learning and neural networks research as well as peer-reviewing and edition of academic books.