Second law of thermodynamics is ingrained within quantum mechanics
RESULTS IN PHYSICS, vol.10, pp.818-821, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 10
- Publication Date: 2018
- Doi Number: 10.1016/j.rinp.2018.06.058
- Journal Name: RESULTS IN PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.818-821
- Istanbul University Affiliated: Yes
Abstract
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 (n(2)) over bar, 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 = k ln Omega, with Omega in the former signifying the number of Boltzmann microstates, we land at S = k ln (n(2)) over bar The results obtained are discussed.