Asymmetric Relaxations Through the Lens of Information Geometry

2024/02/22 by Alessandro Bravetti, Bravetti, Alessandro, Miguel Ángel García-Ariza +3 · 2 citations
Computer Science · #53B12 #82B05 #82B10 #82C05 #FOS: Physical sciences #Mathematical Physics (math-ph) #Neural Networks and Applications #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2402.14267

openalex publication_date 2024/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• The role of entropy production and thermodynamic uncertainty relations in the asymmetric thermalization of open quantum systems
• Optimizing information flow in Gene Regulatory Networks: a geometric perspective

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