Axiomatic Foundations of Thermostatics
G. Puccini (Instituto de Neurociencias, Universidad Miguel, Hern\'andez, Spain) S. Perez Bergliaffa (CBPF, Brasil) H. Vucetich, (Observatorio Astron\'omico, Universidad Nacional de La Plata, Argentina)

TL;DR
This paper develops an axiomatic foundation for Thermostatics that is objective and free of empirical definitions, redefining core concepts solely through axioms and theorems, and clarifies the non-inclusion of (quasi)static processes.
Contribution
It introduces a novel axiomatic framework for Thermostatics that avoids empirical definitions and clarifies the conceptual scope of the theory.
Findings
Core concepts are defined solely by axioms and theorems.
The concept of (quasi)static process is excluded from Thermostatics.
Provides a consistent, objective foundation for the theory.
Abstract
A realistic and objective axiomatic formulation of Thermostatics for composite systems is presented. The main feature of our axiomatics is that it is free of empirical definitions. In particular, the basic concepts of the theory, such as those of entropy, heat and temperature, are characterized only by the axiomatic basis and the theorems derived from it. We also show that the concept of (quasi)static process does not belong to the body of Thermostatics.
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Taxonomy
TopicsControl and Stability of Dynamical Systems · Advanced Thermodynamics and Statistical Mechanics
