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arXiv · 2402.14267

Asymmetric Relaxations Through the Lens of Information Geometry

Alessandro Bravetti·Miguel Ángel García Ariza·Pablo Padilla
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Abstract

We frame Newton's Law of Cooling as a gradient flow within the context of information geometry. This connects it to a thermodynamic uncertainty relation and the Horse-Carrot Theorem, and reveals novel instances of asymmetric relaxations in endoreversible processes. We present a general criterion for predicting asymmetries using the Amari-Chentsov tensor, applicable to classical and quantum thermodynamics. Examples include faster cooling of quantum ideal gases and relaxations that resemble the Mpemba effect in classical ideal gases.

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Alessandro Bravetti, Miguel Ángel García Ariza, Pablo Padilla. 2024-02-22. Asymmetric Relaxations Through the Lens of Information Geometry. https://arxiv.org/abs/2402.14267

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