Attard P. Entropy Beyond the Second Law. Thermodynamics...2ed 2023

Textbook in PDF format

The Second Law of Thermodynamics—entropy increases—is arguably the most fundamental law of nature, as the above quotations from Einstein, Eddington, and Sears attest. And yet for some, entropy itself is a mystery, the cause of confusion and misunderstanding. How can it be that something so fundamental and universal, as evidenced from the interests and expertise of the quoted authors, is so hard to grasp?
How can it have happened that thoughtful people appreciate the significance and universal applicability of the Second Law without understanding the nature of entropy, its sole concern?
Preface
Entropy counts: universal nature of the statistical entropy
Variational formulation of equilibrium thermodynamics via entropy and free energy
The entropy for transitions and non-equilibrium systems
Entropy for Brownian motion, fluctuations, and stochastic trajectories
Equilibrium statistical mechanics and entropy in classical phase space
Non-equilibrium statistical mechanics and path entropy
Quantum statistical mechanics as entropy collapse in classical phase space
Entropy in Bose–Einstein condensation and the λ-transition
Superfluidity: flow without entropy dissipation
High temperature superconductivity: electrons paired by entropy