The Physical Meaning of the Rényi Relative Entropy

Gökhan Barış Bağcı

doi:10.19113/sdufbed.31657

The Physical Meaning of the Rényi Relative Entropy

Öz

The Boltzmann-Gibbs relative entropy provides the difference between the off-equilibrium and equilibrium free energy terms associated with Boltzmann-Gibbs entropy. In this work, we studied whether this physical meaning can be given to R\'{e}nyi relative entropy definition. We find that this is possible only in the limit as $q$ approaches to 1. This shows that R\'{e}nyi relative entropy has a physical meaning only when the system can already be explained by ordinary Boltzmann-Gibbs entropy. We also note that this result is independent of the internal energy constraint employed.

Anahtar Kelimeler

Rényi relative entropy,Free energy; Entropy maximization

Kaynakça

[1] Rényi A. 1961. On measures of entropy and information. Proceedings of the Fourth Berkeley Symposium on Mathematics, Statistics and Probability, California, 547-561.
[2] Lenzi, E. K., Mendes, R. S., da Silva, L. R. 2000. Statistical mechanics based on Renyi entropy. Physica A, 280(2000), 337-345.
[3] Bashkirov, A. G. 2004. On maximum entropy principle, superstatistics, power-law distribution and Renyi parameter. Physica A, 340(2004), 153-162.
[4] Wilde, M. M., Winter A., Yang D. 2014. Strong Converse for the Classical Capacity of Entanglement-Breaking and Hadamard Channels via a Sandwiched Rényi Relative Entropy. Comm. Math. Phys., 331(2014), 593-622.
[5] Seshadreesan, K. P., Berta M., Wilde M. M. 2015. Rényi squashed entanglement, discord, and relative entropy differences. J. Phys. A, 48(2015), 395303 (1)-395303 (42).
[6] Lashkari, N. 2014. Relative Entropies in Conformal Field Theory. Phys. Rev. Lett., 113(2014), 051602(1)-051602 (4).
[7] Coles, P. J., Colbeck R., Yu L., Zwolak M. 2012. Uncertainty Relations from Simple Entropic Properties. Phys. Rev. Lett., 108(2012), 210405 (1)-210405 (42).
[8] Lostaglio, M., Jennings D., Rudolph T. 2015. Description of quantum coherence in thermodynamic processes requires constraints beyond free energy. Nature Communications, 6(2015), 1-9.

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Gökhan Barış Bağcı Bu kişi benim

Yayımlanma Tarihi

31 Mart 2017

Gönderilme Tarihi

6 Şubat 2017

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2017 Cilt: 21 Sayı: 1

DOI

https://doi.org/10.19113/sdufbed.31657

IZ

https://izlik.org/JA52SD96LC

Kaynak Göster

RIS / Bibtex

APA

Bağcı, G. B. (2017). The Physical Meaning of the Rényi Relative Entropy. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21(1), 292-295. https://doi.org/10.19113/sdufbed.31657

AMA

1.Bağcı GB. The Physical Meaning of the Rényi Relative Entropy. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2017;21(1):292-295. doi:10.19113/sdufbed.31657

Chicago

Bağcı, Gökhan Barış. 2017. “The Physical Meaning of the Rényi Relative Entropy”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 (1): 292-95. https://doi.org/10.19113/sdufbed.31657.

EndNote

Bağcı GB (01 Nisan 2017) The Physical Meaning of the Rényi Relative Entropy. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 1 292–295.

IEEE

[1]G. B. Bağcı, “The Physical Meaning of the Rényi Relative Entropy”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 21, sy 1, ss. 292–295, Nis. 2017, doi: 10.19113/sdufbed.31657.

ISNAD

Bağcı, Gökhan Barış. “The Physical Meaning of the Rényi Relative Entropy”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21/1 (01 Nisan 2017): 292-295. https://doi.org/10.19113/sdufbed.31657.

JAMA

1.Bağcı GB. The Physical Meaning of the Rényi Relative Entropy. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2017;21:292–295.

MLA

Bağcı, Gökhan Barış. “The Physical Meaning of the Rényi Relative Entropy”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 21, sy 1, Nisan 2017, ss. 292-5, doi:10.19113/sdufbed.31657.

Vancouver

1.Gökhan Barış Bağcı. The Physical Meaning of the Rényi Relative Entropy. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 01 Nisan 2017;21(1):292-5. doi:10.19113/sdufbed.31657