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The Basic Theorem of Temperature-Dependent Processes

В. Н. Сапунов, Eugene A. Saveljev, Mikhail S. Voronov, Markus Valtiner, Wolfgang Linert

2021Thermo21 citationsDOIOpen Access PDF

Abstract

The basic theorem of isokinetic relationships is formulated as “if there exists a linear correlation “structure∼properties” at two temperatures, the point of their intersection will be a common point for the same correlation at other temperatures, until the Arrhenius law is violated”. The theorem is valid in various regions of thermally activated processes, in which only one parameter changes. A detailed examination of the consequences of this theorem showed that it is easy to formulate a number of empirical regularities known as the “kinetic compensation effect”, the well-known formula of the Meyer–Neldel rule, or the so-called concept of “multi-excitation entropy”. In a series of similar processes, we examined the effect of different variable parameters of the process on the free energy of activation, and we discuss possible applications.

Topics & Concepts

MathematicsIntersection (aeronautics)Entropy (arrow of time)Arrhenius equationStatistical physicsSecond law of thermodynamicsThermodynamicsApplied mathematicsPure mathematicsActivation energyPhysicsChemistryPhysical chemistryAerospace engineeringEngineeringMachine Learning in Materials Sciencethermodynamics and calorimetric analysesAdvanced Thermodynamics and Statistical Mechanics
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