Yarman, Nuh TolgaYarman, TolgaKholmetskii, AlexanderYarman, OzanArik, MetinYarman, FarukEnerji Sistemleri Mühendisliği / Energy Systems Engineering2024-05-252024-05-25201852211-379710.1016/j.rinp.2018.06.0582-s2.0-85051069566https://doi.org/10.1016/j.rinp.2018.06.058https://hdl.handle.net/20.500.14517/432Yarman, Tolga/0000-0003-3209-2264; Yarman, Ozan U./0000-0001-9002-3326; arik, metin/0000-0001-9512-8581We 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.eninfo:eu-repo/semantics/openAccessEntropyClassical thermodynamicsQuantum mechanicsArticleQ1Q110818821WOS:000443868900125