"Version: 20230401"--Title page verso.

Includes bibliographical references.

1. Entropy counts : universal nature of the statistical entropy -- 1.1. Entropy, weight, probability, and information -- 1.2. A combinatorial example -- 1.3. Entropy and the Second Law -- 1.4. Nature of probability and randomness

2. Variational formulation of equilibrium thermodynamics via entropy and free energy -- 2.1. Entropy of an isolated system -- 2.2. Heat reservoir and the Helmholtz free energy -- 2.3. Various reservoirs -- 2.4. Thermodynamic second derivatives -- 2.5. Probability and fluctuation theory

3. The entropy for transitions and non-equilibrium systems -- 3.1. Entropy for non-equilibrium systems -- 3.2. Pure parity fluctuation analysis -- 3.3. Mixed parity fluctuations -- 3.4. Steady heat flow -- 3.5. Variational hydrodynamics -- 3.6. Stochastic, dissipative hydrodynamic equations -- 3.7. Non-equilibrium pattern formation

4. Entropy for Brownian motion, fluctuations, and stochastic trajectories -- 4.1. Brownian motion -- 4.2. Fokker-Planck equation -- 4.3. Stochastic calculus -- 4.4. Generalized equipartition theorem -- 4.5. Liouville's approximation -- 4.6. Generalized Langevin equation

5. Equilibrium statistical mechanics and entropy in classical phase space -- 5.1. Phase space and Hamilton's equations of motion -- 5.2. Entropy of a point in phase space -- 5.3. Canonical equilibrium system -- 5.4. Stochastic, dissipative equations of motion -- 5.5. Equilibrium phase space averages -- 5.6. Sub-system entropy as a functional of particle densities -- 5.7. Time correlation and van Hove functions

6. Non-equilibrium statistical mechanics and path entropy -- 6.1. Reservoir entropy -- 6.2. Stochastic, dissipative equations of motion -- 6.3. Odd projection of the dynamic entropy -- 6.4. Driven Brownian motion -- 6.5. Path entropy and trajectory probability -- 6.6. Path entropy for mechanical work

7. Quantum statistical mechanics as entropy collapse in classical phase space -- 7.1. Conventional quantum statistical average -- 7.2. Uniform weight density of wave space -- 7.3. Canonical equilibrium system -- 7.4. Quantum statistical mechanics in classical phase space -- 7.5. Expansions for non-commutativity and symmetrization -- 7.6. Quantum ideal gas -- 7.7. Permutation loop expansion -- 7.8. The classical world

8. Entropy in Bose-Einstein condensation and the [lambda]-transition -- 8.1. Introduction -- 8.2. Ideal boson approach to the [lambda]-transition -- 8.3. Ideal bosons : exact enumeration -- 8.4. The [lambda]-transition for interacting bosons -- 8.5. Mixed loops -- 8.6. Discussion

9. Superfluidity : flow without entropy dissipation -- 9.1. Introduction -- 9.2. Nature of the Bose-Einstein condensed state -- 9.3. Interactions on the far side -- 9.4. Entropy of superfluidity -- 9.5. Fountain pressure

10. High temperature superconductivity : electrons paired by entropy -- 10.1. Introduction -- 10.2. General formulation and analysis -- 10.3. Results for 3He -- 10.4. Comparison of fermion pairs in BCS and the present theory -- 10.5. Monotonic-oscillatory transition in charge fluids.

Entropy Beyond the Second Law presents a coherent formulation of all aspects of thermodynamics and statistical mechanics with entropy as the unifying theme. This second edition includes the novel entropic treatment of Bose-Einstein condensation, superfluidity, and high temperature superconductivity. The new physical insights and the quantitative agreement with experimental measurement provide concrete examples of the universal approach based on entropy advocated in the book. Thermodynamics and statistical mechanics are important subjects, and students, academics, and researchers require the fundamental concepts to be clearly and concisely presented, as part of a unified whole, and the mathematical derivations to be explained with detailed physical explanation and applications.

The book will appeal to graduate students, lecturers, academics, and scientific researchers in the fields of thermodynamics, statistical mechanics, condensed matter physics, theoretical chemistry, dynamics, many-body systems, condensed matter physics or quantum mechanics.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Phil Attard researches broadly in statistical mechanics, quantum mechanics, thermodynamics, and colloid science. He has held academic positions in Australia, Europe, and North America, and he was a Professorial Research Fellow of the Australian Research Council. He has authored some 120 papers, 10 review articles, and 4 books, with over 7000 citations. As an internationally recognized researcher, he has made seminal contributions to the theory of electrolytes and the electric double layer, to measurement techniques for atomic force microscopy and colloid particle interactions, and to computer simulation and integral equation algorithms for condensed matter. Attard is perhaps best known for his discovery of nanobubbles and for establishing their nature. Recent research has focused on non-equilibrium systems and entropy as the basis for non-equilibrium thermodynamics, hydrodynamics, and chemical kinetics.

Title from PDF title page (viewed on May 2, 2023).