Geodesics in the Ruppeiner geometry of an ideal gas

Authors

  • Karlo Nepomuceno de Leon ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Michael Francis Ian G. Vega, II ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

While thermodynamic phase diagrams are efficient in representing the quasi-static transition of systems through different states, there is no immediate meaning attached to the distances between points in these state spaces. Although not unique, one may endow a meaningful metric to thermodynamic space such as the Weinhold and Ruppeiner metric. The latter, which we will use here, gives a distance that provides a lower bound on the entropy change of a system that "jumps" through different equilibrium states. If these states lie on a geodesic of this thermodynamic geometry, the lower bound of the entropy change is at a minimum. In this study, we look for the geodesics of ideal gas systems using temperature and number density as coordinates.

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Article ID

SPP-2020-2G-08

Section

Theoretical and Mathematical Physics (Short Presentations)

Published

2020-10-19

How to Cite

[1]
KN de Leon and MFIG Vega, Geodesics in the Ruppeiner geometry of an ideal gas, Proceedings of the Samahang Pisika ng Pilipinas 38, SPP-2020-2G-08 (2020). URL: https://proceedings.spp-online.org/article/view/SPP-2020-2G-08.