Second law of thermodynamics is ingrained within quantum mechanics

We show that the second law of thermodynamics is rooted in quantum mechanics, inasmuch as allowing the substitution of the Boltzmann constant k and temperature with respectively the Planck constant and quantum numbers. In particular, we will see that the entropy S becomes proportional to the natural...

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Bibliographic Details
Published in:Results in physics 2018-09, Vol.10, p.818-821
Main Authors: Yarman, Tolga, Kholmetskii, Alexander, Yarman, Ozan, Arik, Metin, Yarman, Faruk
Format: Article
Language:English
Subjects:
Classical thermodynamics
Entropy
Quantum mechanics
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Summary:We show that the second law of thermodynamics is rooted in quantum mechanics, inasmuch as allowing the substitution of the Boltzmann constant k and temperature with respectively the Planck constant and quantum numbers. In particular, we will see that the entropy S becomes proportional to the natural logarithm of the average of the squared quantum numbers n2‾, where each quantum number is associated with a quantum state of the constituents of the thermodynamical system under consideration. It is important to stress that the present approach furnishes the corrected Boltzmann entropy expression. Thus, instead of S=klnΩ, with Ω in the former signifying the number of Boltzmann microstates, we land at S=klnn2‾ The results obtained are discussed.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2018.06.058