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On the Relation between Entropy and Kinetics

Benjamin SorkinHaim DiamantGil Ariel
Dec 2022
摘要
Thermodynamic and kinetic properties of materials are usually thought of asunconnected. Relating them is a conceptual challenge with many practicalbenefits. Here, based on first principles, we derive a rigorous inequalityrelating entropy and diffusion coefficients. It is universal and applicable toequilibrium as well as non-equilibrium steady states. The relation can be usedto obtain useful bounds for the diffusion coefficient (normal or anomalous)from the calculated thermodynamic entropy or, conversely, to estimate theentropy based on measured diffusion coefficients. We demonstrate the validityand usefulness of the relation through several examples. We discuss its broadrange of applications, in particular, for non-equilibrium systems.
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