2nd corr. and enlarged ed. — New York—Berlin—Heidelberg—Tokyo: Springer-Verlag, 1984. — XVIII + 578 p. — ISBN: 0-387-90874-9, 3-540-90874-9.
Prof.
Truesdell's criticisms of classical thermodynamics in 1952, followed by detailed presentation of its mathematical structure in 1960, reopened the subject to fundamental research. Truesdell taught at Indiana University 1950-61, where Walter Noll was his student. From 1961 until his retirement in 1989, Truesdell was professor of rational mechanics at Johns Hopkins University. He and Noll contributed to foundational rational mechanics, whose aim is to construct a mathematical model for treating (continuous) mechanical phenomena. Truesdell was the founder and editor-in-chief of the journals Archive for Rational Mechanics and Analysis and Archive for the History of Exact Sciences, which were unusual in several ways. Following Truesdell's criticisms of awkward style in scientific writing, the journal accepted papers in English, French, German, and Latin. In addition to his original work in mechanics, Truesdell was a major historian of science and mathematics, editing or co-editing six volumes of the collected works of Leonhard Euler.
In the words of Bernard Lavenda if there is something rational in Rational Thermodynamics it is well-hidden. Ironically, the 'rational' theory even failed in fields where the authors assumed expertise: "More damage was suffered by rational thermodynamics when it was found that the theory could not be applied to non-Newtonian fluids".
Truesdell become also famous by his attacks on Lars Onsager (Nobel Prize 1968 for nonequilibrium thermodynamics) and related scientists.
Müller's words regarding Truesdell, however, should be taken with a grain of salt. An article written by Müller ("On the frame dependence of stress and heat flux," Arch. Ration. Mech. Anal. 45, 241 (1972)) was strongly refuted by Truesdell "Correction of two errors in the kinetic theory of gases which have been used to cast unfounded doubt upon the principle of material frame-indifference," Meccanica 4, 196 (1976)), and it appears that Müller never forgot the incident.
Contents.
Historical Introit. The Origins of Rational Thermodynamics
Appendix to the Historical Introit. Failure of Caratheodory's Attempt to Set the House in Order
Thermodynamics of Homogeneous Processes
Thermodynamics for Beginners
Internal Dissipation
Foundations of the Clausius-Duhem Inequality
Coleman's Theorem
Internal Constraints
Wave Propagation in Dissipative Materials
Thermodynamic Effects in Wave Propagation
Discontinuous Thermokinetic Processes
Thermodynamics of Diffusion
Diffusion Models Implied by the Theory of Mixtures
Thermodynamics of Mixtures of Fluids
A Theory of Multiphase Mixtures
Applications of the Theory of Mixtures in Soil Physics
Foundations of Mixture Theory
Thermodynamics of Chemical Reactions
The Onsager Relations
On the Symmetry of the Heat-Conduction Tensor
Phenomenological Onsagerism in Practice
The Maxwell-Boltzmann Equation as a Constitutive Equation of Continuum Mechanics
"Constitutive Relations" According to the Kinetic Theory of Gases
Gross Determinism and Its Implications for the Kinetic Theory of Gases
Thermodynamics According to the Kinetic Theory of Gases
The Trend to Equilibrium According to the Kinetic Theory of Gases
Kinetic and Caloric Dissipation in Simple Shearing of a Maxwellian Gas
General Appendices
Recent Research on the Foundations of Thermodynamics
The Status of the Heat Equation
Thermodynamics and Stability of Equilibrium
Foundations of Thermodynamics
The Kinetic Theory as a Prototype for Fine-Coarse Theory Pairs
On the Axiomatic Foundations of Temperature
Thermodynamics of Cyclic Processes
Index of Authors Mentioned
Index of Subjects
Annotated bibliography on thermodynamics and statisticall mechanics