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Full Description
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.
Contents
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
