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Pregled bibliografske jedinice broj: 1112543

Relation between Boltzmann and Gibbs entropy and example with multinomial distribution


Županović, Paško; Kuić, Domagoj
Relation between Boltzmann and Gibbs entropy and example with multinomial distribution // Journal of physics communications, 2 (2018), 4; 045002, 11 doi:10.1088/2399-6528/aab7e1 (međunarodna recenzija, članak, znanstveni)


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Naslov
Relation between Boltzmann and Gibbs entropy and example with multinomial distribution

Autori
Županović, Paško ; Kuić, Domagoj

Izvornik
Journal of physics communications (2399-6528) 2 (2018), 4; 045002, 11

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
boltzmann entropy ; gibbs entropy ; fluctuation entropy ; thermodynamic limit ; nonequilibrium ; critical phenomena

Sažetak
General relationship between mean Boltzmann entropy and Gibbs entropy is established. It is found that their difference is equal to fluctuation entropy, which is a Gibbs-like entropy of macroscopic quantities. The ratio of the fluctuation entropy and mean Boltzmann, or Gibbs entropy vanishes in the thermodynamic limit for a system of distinguishable and independent particles. It is argued that large fluctuation entropy clearly indicates the limit where standard statistical approach should be modified, or extended using other methods like renormalization group.

Izvorni jezik
Engleski

Znanstvena područja
Fizika



POVEZANOST RADA


Ustanove:
Prirodoslovno-matematički fakultet, Split

Profili:

Avatar Url Domagoj Kuić (autor)

Avatar Url Paško Županović (autor)

Poveznice na cjeloviti tekst rada:

doi iopscience.iop.org

Citiraj ovu publikaciju:

Županović, Paško; Kuić, Domagoj
Relation between Boltzmann and Gibbs entropy and example with multinomial distribution // Journal of physics communications, 2 (2018), 4; 045002, 11 doi:10.1088/2399-6528/aab7e1 (međunarodna recenzija, članak, znanstveni)
Županović, P. & Kuić, D. (2018) Relation between Boltzmann and Gibbs entropy and example with multinomial distribution. Journal of physics communications, 2 (4), 045002, 11 doi:10.1088/2399-6528/aab7e1.
@article{article, author = {\v{Z}upanovi\'{c}, Pa\v{s}ko and Kui\'{c}, Domagoj}, year = {2018}, pages = {11}, DOI = {10.1088/2399-6528/aab7e1}, chapter = {045002}, keywords = {boltzmann entropy, gibbs entropy, fluctuation entropy, thermodynamic limit, nonequilibrium, critical phenomena}, journal = {Journal of physics communications}, doi = {10.1088/2399-6528/aab7e1}, volume = {2}, number = {4}, issn = {2399-6528}, title = {Relation between Boltzmann and Gibbs entropy and example with multinomial distribution}, keyword = {boltzmann entropy, gibbs entropy, fluctuation entropy, thermodynamic limit, nonequilibrium, critical phenomena}, chapternumber = {045002} }
@article{article, author = {\v{Z}upanovi\'{c}, Pa\v{s}ko and Kui\'{c}, Domagoj}, year = {2018}, pages = {11}, DOI = {10.1088/2399-6528/aab7e1}, chapter = {045002}, keywords = {boltzmann entropy, gibbs entropy, fluctuation entropy, thermodynamic limit, nonequilibrium, critical phenomena}, journal = {Journal of physics communications}, doi = {10.1088/2399-6528/aab7e1}, volume = {2}, number = {4}, issn = {2399-6528}, title = {Relation between Boltzmann and Gibbs entropy and example with multinomial distribution}, keyword = {boltzmann entropy, gibbs entropy, fluctuation entropy, thermodynamic limit, nonequilibrium, critical phenomena}, chapternumber = {045002} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Emerging Sources Citation Index (ESCI)
  • Scopus


Citati:





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