938 citations
- University of MariborSI22 papers
- China Medical UniversityTW18 papers
- China Medical University HospitalTW18 papers
- Santa Fe InstituteUS13 papers
- Alma Mater EuropaeaSI12 papers
- Universidade Estadual de MaringáBR11 papers
- Centro Brasileiro de Pesquisas FísicasBR9 papers
- Medical University of ViennaAT7 papers
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- Istituto Nazionale di Fisica Nucleare, Sezione di CataniaIT6 papers
- Queen Mary University of LondonGB6 papers
- Institute for Scientific InterchangeIT4 papers
5 papers · 1 filter
Fermi--Pasta--Ulam--Tsingou problems: Passage from Boltzmann to -statistics
Debarshee Bagchi, Constantino Tsallis
The Fermi-Pasta-Ulam (FPU) one-dimensional Hamiltonian includes a quartic term which guarantees ergodicity of the system in the thermodynamic limit. Consistently, the Boltzmann fac…
On the uniqueness theorem for pseudo-additive entropies
Petr Jizba, Jan Korbel
We discuss the idea that the Tsallis-type (q-additive) entropic chain rule allows for a wider class of entropic functionals than previously thought. In particular, we point out tha…
Statistical characterization of discrete conservative systems: The web map
Guiomar Ruiz, Ugur Tirnakli, Ernesto P. Borges +1
We numerically study the two-dimensional, area preserving, web map. When the map is governed by ergodic behavior, it is, as expected, correctly described by Boltzmann-Gibbs statist…
Transitions between superstatistical regimes: validity, breakdown and applications
Petr Jizba, Jan Korbel, Hynek Lavička +3
Superstatistics is a widely employed tool of non-equilibrium statistical physics which plays an important role in analysis of hierarchical complex dynamical systems. Yet, its "cano…
-Generalized representation of the -dimensional Dirac delta and -Fourier transform
Gabriele Sicuro, Constantino Tsallis
We discuss a generalized representation of the Dirac delta function in dimensions in terms of -exponential functions. We apply this new representation to the study of the so…