Year: 2024
Type: preprint
Abstract: This paper offers a pedestrian guide from the fundamental properties of entropy to the axioms of thermodynamics, which are a consequence of the axiom of statistical physics. It also dismantles flawed concepts, such as assigning physical meaning to Lagrange multipliers and numerous others. This work also provides a comprehensive understanding of the Legendre transform via geometrical, mathematical and physical insights, as well as its connection to the experimental setup. The central result of this paper is the comprehensive formalisation of key concepts, including ensembles, variable dependencies, potentials and natural variables. Furthermore, the framework of thermodynamics, the state function and the Euler inequality are rigorously proven from the axiom of statistical physics.
Source: arXiv (Cornell University)
Authors: Graml, Mario, Riedl, Michael
Institution: Johannes Kepler University of Linz
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4400435123