Second law of thermodynamics is ingrained within quantum mechanics

dc.authorid Yarman, Tolga/0000-0003-3209-2264
dc.authorid Yarman, Ozan U./0000-0001-9002-3326
dc.authorid arik, metin/0000-0001-9512-8581
dc.authorscopusid 6602787345
dc.authorscopusid 7004016669
dc.authorscopusid 35331093400
dc.authorscopusid 7005444397
dc.authorscopusid 56631476600
dc.authorwosid Yarman, Tolga/Q-9753-2019
dc.authorwosid Yarman, Ozan U./A-3421-2016
dc.authorwosid arik, metin/T-4193-2019
dc.contributor.author Yarman, Tolga
dc.contributor.author Kholmetskii, Alexander
dc.contributor.author Yarman, Ozan
dc.contributor.author Arik, Metin
dc.contributor.author Yarman, Faruk
dc.date.accessioned 2024-05-25T11:19:35Z
dc.date.available 2024-05-25T11:19:35Z
dc.date.issued 2018
dc.department Okan University en_US
dc.department-temp [Yarman, Tolga] Okan Univ, Istanbul, Turkey; [Kholmetskii, Alexander] Belarusian State Univ, Minsk, BELARUS; [Yarman, Ozan] Istanbul Univ, Istanbul, Turkey; [Arik, Metin] Bogazici Univ, Istanbul, Turkey; [Yarman, Faruk] Savronik, TR-06800 Ankara, Turkey en_US
dc.description Yarman, Tolga/0000-0003-3209-2264; Yarman, Ozan U./0000-0001-9002-3326; arik, metin/0000-0001-9512-8581 en_US
dc.description.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. en_US
dc.identifier.citationcount 5
dc.identifier.doi 10.1016/j.rinp.2018.06.058
dc.identifier.endpage 821 en_US
dc.identifier.issn 2211-3797
dc.identifier.scopus 2-s2.0-85051069566
dc.identifier.scopusquality Q1
dc.identifier.startpage 818 en_US
dc.identifier.uri https://doi.org/10.1016/j.rinp.2018.06.058
dc.identifier.uri https://hdl.handle.net/20.500.14517/432
dc.identifier.volume 10 en_US
dc.identifier.wos WOS:000443868900125
dc.identifier.wosquality Q1
dc.language.iso en
dc.publisher Elsevier en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 8
dc.subject Entropy en_US
dc.subject Classical thermodynamics en_US
dc.subject Quantum mechanics en_US
dc.title Second law of thermodynamics is ingrained within quantum mechanics en_US
dc.type Article en_US
dc.wos.citedbyCount 5

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