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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-09-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379718312117 |
| _version_ | 1818821984727859200 |
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| author | Tolga Yarman Alexander Kholmetskii Ozan Yarman Metin Arik Faruk Yarman |
| author_facet | Tolga Yarman Alexander Kholmetskii Ozan Yarman Metin Arik Faruk Yarman |
| author_sort | Tolga Yarman |
| collection | DOAJ |
| description | 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. Keywords: Entropy, Classical thermodynamics, Quantum mechanics |
| first_indexed | 2024-12-18T23:16:52Z |
| format | Article |
| id | doaj.art-2bceefe2e1fb494fabd609d469085b6d |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-18T23:16:52Z |
| publishDate | 2018-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-2bceefe2e1fb494fabd609d469085b6d2022-12-21T20:48:07ZengElsevierResults in Physics2211-37972018-09-0110818821Second law of thermodynamics is ingrained within quantum mechanicsTolga Yarman0Alexander Kholmetskii1Ozan Yarman2Metin Arik3Faruk Yarman4Okan University, Istanbul, TurkeyBelarus State University, Minsk, Belarus; Corresponding author.Istanbul University, Istanbul, TurkeyBogazici University, Istanbul, TurkeySavronik, Mutlukent, +33, 06800 Ankara, TurkeyWe 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. Keywords: Entropy, Classical thermodynamics, Quantum mechanicshttp://www.sciencedirect.com/science/article/pii/S2211379718312117 |
| spellingShingle | Tolga Yarman Alexander Kholmetskii Ozan Yarman Metin Arik Faruk Yarman Second law of thermodynamics is ingrained within quantum mechanics Results in Physics |
| title | Second law of thermodynamics is ingrained within quantum mechanics |
| title_full | Second law of thermodynamics is ingrained within quantum mechanics |
| title_fullStr | Second law of thermodynamics is ingrained within quantum mechanics |
| title_full_unstemmed | Second law of thermodynamics is ingrained within quantum mechanics |
| title_short | Second law of thermodynamics is ingrained within quantum mechanics |
| title_sort | second law of thermodynamics is ingrained within quantum mechanics |
| url | http://www.sciencedirect.com/science/article/pii/S2211379718312117 |
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