We consider Onsager’s non-equilibrium thermodynamics from the perspective of the gradient flow in information geometry. Assuming Onsager’s reciprocal relations, we can regard his phenomenological equations as gradient-flow equations and develop two different gradient-flow models. We consider their features and their relations. Both models are applied to the ideal gas and van der Waals gas.
Onsager’s Non-Equilibrium Thermodynamics as Gradient Flow in Information Geometry
Antonio Maria ScarfoneUltimo
2025
Abstract
We consider Onsager’s non-equilibrium thermodynamics from the perspective of the gradient flow in information geometry. Assuming Onsager’s reciprocal relations, we can regard his phenomenological equations as gradient-flow equations and develop two different gradient-flow models. We consider their features and their relations. Both models are applied to the ideal gas and van der Waals gas.File in questo prodotto:
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Onsager’s Non-Equilibrium Thermodynamics as Gradient Flow in Information Geometry.pdf
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