The Physics and Mathematics of the Second Law of Thermodynamics
by Elliott H. Lieb, Jakob Yngvason
Publisher: arXiv 1999
Number of pages: 101
The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of entropy in irreversible adiabatic processes that take one equilibrium state to another. Temperature is derived from entropy, but at the start not even the concept of 'hotness' is assumed.
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by Hans Kroha - University of Bonn
Contents: Introduction and overview; Thermodynamics; Foundations of statistical physics; Ideal systems: some examples; Systems of identical particles; General formulation of statistical mechanics; Interacting systems in thermodyn. equilibrium.
by J. B. Tatum
The text covers temperature, thermal conduction, thermodynamic processes, properties of gases, the first and second laws, heat capacity, expansion of gases, enthalpy, the Joule-Thomson experiments, heat engines, the Clausius-Clapeyron equation, etc.
by Lawrence C. Evans - UC Berkeley
This course surveys various uses of 'entropy' concepts in the study of PDE, both linear and nonlinear. This is a mathematics course, the main concern is PDE and how various notions involving entropy have influenced our understanding of PDE.
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The book goes from the fundamentals up to several applications in different scientific fields: Classical Thermodynamics, Statistical Thermodynamics, Property Prediction in Thermodynamics, Material and Products, Non Equilibrium Thermodynamics, etc.