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 Johan Hoffman, Claes Johnson
Computational foundation of thermodynamics based on deterministic finite precision computation without resort to statistics. A new 2nd Law without the concept of entropy is proved to be a consequence of the 1st Law and finite precision computation.
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.
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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.