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Asymmetric Relaxations Through the Lens of Information Geometry (2402.14267v2)
Published 22 Feb 2024 in math-ph, cond-mat.stat-mech, and math.MP
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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