7–12 Jul 2024
Aurum, the ‘Gabriele d’Annunzio’ University and ICRANet
Europe/Rome timezone

Time is entropy: A geometric proof

9 Jul 2024, 15:00
15m
Lab. D (Palazzo Micara of the ‘Gabriele d’Annunzio’ University)

Lab. D

Palazzo Micara of the ‘Gabriele d’Annunzio’ University

Viale Pindaro, 42, Pescara

Speaker

Prof. Hernando Quevedo (National Autonomous University of Mexico)

Description

We use the formalism of geometrothermodynamics to associate a Riemannian manifold called equilibrium space to any thermodynamic system. In the case of an ideal gas, we show that quasi-static thermodynamic processes correspond to geodesics in the equilibrium space. Interpreting time as the affine parameter along geodesics, we show that the entropy of the ideal gas is linearly proportional to time, and the second law of thermodynamics determines the arrow of time.

Primary author

Prof. Hernando Quevedo (National Autonomous University of Mexico)

Presentation materials

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