Mon but n'a jamais be de m'occuper des ces matieres comme physicien, mais seulement comme /ogicien ... F. REECH, 1856 I do not think it possible to write the history of a science until that science itself shall have been understood, thanks to a clear, explicit, and decent logical structure. The exuberance of dim, involute, and undisciplined his torical essays upon classical thermodynamics reflects the confusion of the theory itself. Thermodynamics, despite its long history, has never had the benefit of a magisterial synthesis like that which EULER gave to hydro dynamics in 1757 or that which MAXWELL gave to electromagnetism in 1873; the expositions in the works of discovery in thermodynamics stand a pole apart from the pellucid directness of the notes in which CAUCHY presented his creation and development of the theory of elasticity from 1822 to 1845. Thermodynamics was born in obscurity and disorder, not to say confusion, and there the common presentations of it have remained. With this tractate I aim to provide a simple logical structure for the classical thermodynamics of homogeneous fluid bodies. Like any logical structure, it is only one of many possible ones. I think it is as simple and pretty as can be.
Author(s): Clifford Ambrose Truesdell III, Subramanyam Bharatha (auth.)
Series: Texts and Monographs in Physics
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1977
Language: English
Pages: 154
Tags: Thermodynamics;Statistical Physics, Dynamical Systems and Complexity
Front Matter....Pages i-xxiv
Front Matter....Pages 1-1
Notations. Constitutive Domain. Heat and Work. Processes. Paths. Cycles....Pages 3-7
Thermal Equation of State. Examples. First Reversal Theorem....Pages 8-19
The Doctrine of Latent and Specific Heats. Second Reversal Theorem. Fundamental Theorem of Calorimetry....Pages 20-25
Adiabatic Processes. Laplace’s Theorem....Pages 26-31
Examples....Pages 32-37
Emission-Absorption Estimates....Pages 38-43
Front Matter....Pages 45-45
Carnot Processes. Carnot Cycles and Webs. Lemmas regarding Heat and Work for Cycles in a Carnot Web....Pages 47-56
Carnot’s General Axiom. Local Theory: Reech’s First Theorem, First Principal Lemma....Pages 57-65
Basic Constitutive Restrictions in a Thermodynamic Part and in the Normal Set. Pro-Entropy and Internal Pro-Energy....Pages 66-80
Cyclic Processes in D th and D n . C -Processes. Efficiency Theorem and Emission-Absorption Theorem for C -Processes. Completeness Theorems....Pages 81-99
Properties of Ideal Gases and Van der Waals Fluids....Pages 100-108
Relation of Motors to Refrigerators....Pages 109-111
Estimates of the Efficiency of a Body undergoing a Cyclic Process....Pages 112-118
The Fourth Theorem of Reech: Existence of Four Thermodynamic Potentials....Pages 119-125
Front Matter....Pages 127-127
Universal Efficiency of Ordinary Carnot Cycles Compatible with the Existence of an Ideal Gas with Constant Specific Heats. Proof of the “First Law” and “Second Law” of Thermodynamics....Pages 129-139
Invariance of the Carnot Function under Change of the Unit of Temperature. Alternative to Axiom V....Pages 140-143
Front Matter....Pages 145-145
Axioms for Energy and Entropy....Pages 147-151
Back Matter....Pages 152-154
