About this book
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. KolmogorovâSinai entropy), information theory (e.g. RĂ©nyi 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.
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Information
Table of contents
- Cover
- Title Page
- Copyright
- DECLARATION
- ABOUT THE EDITOR
- TABLE OF CONTENTS
- List of Contributors
- List of Abbreviations
- Preface
- 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 BoltzmannâGibbsâShannon 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 HawkingâPage 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
- Index
- Back Cover
