DOAJ Open Access 2023

Some Properties of Fractal Tsallis Entropy

Vasile Preda Răzvan-Cornel Sfetcu

Abstrak

We introduce fractal Tsallis entropy and show that it satisfies Shannon–Khinchin axioms. Analogously to Tsallis divergence (or Tsallis relative entropy, according to some authors), fractal Tsallis divergence is defined and some properties of it are studied. Within this framework, Lesche stability is verified and an example concerning the microcanonical ensemble is given. We generalize the LMC complexity measure (LMC is Lopez-Ruiz, Mancini and Calbert), apply it to a two-level system and define the statistical complexity by using the Euclidean and Wootters’ distance measures in order to analyze it for two-level systems.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (2)

Vasile Preda

Răzvan-Cornel Sfetcu

Format Sitasi

APA MLA BibTeX

Preda, V., Sfetcu, R. (2023). Some Properties of Fractal Tsallis Entropy. https://doi.org/10.3390/fractalfract7050375

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.3390/fractalfract7050375
Akses: Open Access ✓