Invariant geometry of the ideal gas

Details Invariant geometry of the ideal gas Invariant geometry of the ideal gas

2008-11-03

arxiv.org/abs/0811.0222v1

Physics

Mathematical Physics

21 pages, 5 figures

Scientific paper

We analyze a Legendre invariant metric structure in the space of thermodynamic equilibrium states of an ideal gas. Due to the lack of thermodynamic interaction, the geometry turns out to be flat. We introduce the concept of thermodynamic geodesics, which correspond to quasi-static processes, analyze their properties, and show that they can be used to determine the "arrow of time" and to split the equilibrium space of the ideal gas into two completely different regions, separated by adiabatic geodesics which correspond to reversible thermodynamic processes.

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