Second law of thermodynamics is ingrained within quantum mechanics

Publication date: Available online 7 July 2018Source: Results in PhysicsAuthor(s): Tolga Yarman, Alexander Kholmetskii, Ozan Yarman, Metin ArikAbstractWe 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, 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 lnΩ, with Ω in the former signifying the number of Boltzmann microstates, we land at S=klnn2n¯2 The results obtained are discussed.

Source: Results in Physics - July 10, 2018 Category: Physics Source Type: research