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Entropy Landscaping of High‐Entropy Carbides
Advanced Materials, 2021AbstractThe entropy landscape of high‐entropy carbides can be used to understand and predict their structure, properties, and stability. Using first principles calculations, the individual and temperature‐dependent contributions of vibrational, electronic, and configurational entropies are analyzed, and compare them qualitatively to the enthalpies of ...
Mohammad Delower Hossain +11 more
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Best Practice & Research Clinical Anaesthesiology, 2006
The concept of entropy, originally derived from thermodynamics, has been successfully applied to EEG analysis. Various entropy algorithms have been used in clinical studies, but until now a commercially available monitor exists only for spectral entropy.
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The concept of entropy, originally derived from thermodynamics, has been successfully applied to EEG analysis. Various entropy algorithms have been used in clinical studies, but until now a commercially available monitor exists only for spectral entropy.
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On Entropy-Stable Discretizations and the Entropy Adjoint
Journal of Scientific Computing, 2021For symmetrizable conservation laws, the entropy variables are adjoints for a functional that balances entropy flux into the domain with sources of entropy inside the domain. In this paper, it was shown that entropy-stable summation by parts (SBP) discretizations mimic an additional property of the continuous equations: the entropy adjoint. The entropy
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TOPOLOGICAL ENTROPY VERSUS GEODESIC ENTROPY
International Journal of Mathematics, 1994Using Yomdin's Theorem [8], we show that for a compact Riemannian manifold M, the geodesic entropy — defined as the exponential growth rate of the average number of geodesic segments between two points — is ≤ the topological entropy of the geodesic flow of M.
Paternain, Gabriel P., Paternain, Miguel
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When is an Entropy an Entropy?
AIP Conference Proceedings, 2006I consider the conceptual arguments leading to the validity of the conventional physical approach to thermodynamics, as we know it. In spite of the familiarity we have with this approach, its internal logical structure deserves to be extracted. No new features are found, but some universal properties emerge. These are then applied to the unconventional
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2000
Es handelt sich um eine extensive Zustandsgrose eines Systems im thermodynamischen Gleichgewicht, die eine zentrale Grose der Thermodynamik darstellt. Als Zustandsgrose besitzt S * ein vollstandiges Differential. Die Definition der Entropie erfolgt uber den zweiten Hauptsatz der Thermodynamik.
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Es handelt sich um eine extensive Zustandsgrose eines Systems im thermodynamischen Gleichgewicht, die eine zentrale Grose der Thermodynamik darstellt. Als Zustandsgrose besitzt S * ein vollstandiges Differential. Die Definition der Entropie erfolgt uber den zweiten Hauptsatz der Thermodynamik.
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Materialwissenschaft und Werkstofftechnik, 2014
Entropy as a function of temperature at constant volume, S(T), can be determined by integrating the molar specific entropy capacity CV/T (CV: molar specific heat capacity at constant volume). As a second approach, S(T) at constant volume can be determined by differentiating the free energy with respect to the temperature, T. Recently, it has been shown
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Entropy as a function of temperature at constant volume, S(T), can be determined by integrating the molar specific entropy capacity CV/T (CV: molar specific heat capacity at constant volume). As a second approach, S(T) at constant volume can be determined by differentiating the free energy with respect to the temperature, T. Recently, it has been shown
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SOME RESULTS ON ENTROPY AND SEQUENCE ENTROPY
International Journal of Bifurcation and Chaos, 1999In this paper we study some formulas involving metric and topological entropy and sequence entropy. We summarize some classical formulas satisfied by metric and topological entropy and ask the question whether the same or similar results hold for sequence entropy.
Balibrea, F. +2 more
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Entropy and the Entropy Principle
2019Clausius generalized the mathematical expression of Carnot’s principle obtained by Kelvin, and in 1865, introduced the concept of entropy and formulated the entropy principle. With the concept of entropy and the idea of the entropy principle, a definition of heat can be given, as well as mathematical formalism on equilibrium thermodynamics was ...
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Entropy and Entropy Production
1973The limitations of a thermodynamic theory of a continuum by the atomic structure of matter are briefly discussed. They imply that any thermodynamic theory is of an approximate nature. Main emphasis is laid on the concept of a nonequilibrium entropy. It is shown that to an isothermal electrical network one can apply thermodynamic reasoning.
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