831 citations
- Centre National de la Recherche ScientifiqueFR29 papers
- The University of Texas at AustinUS26 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR20 papers
- Observatoire de ParisFR19 papers
- Izmir Institute of TechnologyTR18 papers
- Centro Brasileiro de Pesquisas FísicasBR17 papers
- Massachusetts Institute of TechnologyUS17 papers
- Aarhus UniversityDK16 papers
- Institut de Recherche sur les Lois Fondamentales de l'UniversFR16 papers
- Konkoly ObservatoryHU16 papers
- Osservatorio Astrofisico di CataniaIT16 papers
- Vilnius UniversityLT16 papers
48 papers · 1 filter
Approaching a large deviation theory for complex systems
Ugur Tirnakli, Constantino Tsallis, Nihat Ay
The standard Large Deviation Theory (LDT) is mathematically illustrated by the Boltzmann-Gibbs factor which describes the thermal equilibrium of short-range-interacting many-body H…
Dynamical robustness of discrete conservative systems: Harper and generalized standard maps
Ugur Tirnakli, Constantino Tsallis, Kivanc Cetin
In recent years, statistical characterization of the discrete conservative dynamical systems (more precisely, paradigmatic examples of area-preserving maps such as the standard and…
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…
Thermal conductance of the coupled-rotator chain: Influence of temperature and size
Yunyun Li, Nianbei Li, Ugur Tirnakli +2
Thermal conductance of a homogeneous 1D nonlinear lattice system with neareast neighbor interactions has recently been computationally studied in detail by Li et al [Eur. Phys. J.…
Statistical characterization of the standard map
Guiomar Ruiz, Ugur Tirnakli, Ernesto P. Borges +1
The standard map, paradigmatic conservative system in the phase space, has been recently shown to exhibit interesting statistical behaviors directly related to the value of…
The standard map: From Boltzmann-Gibbs statistics to Tsallis statistics
Ugur Tirnakli, Ernesto P. Borges
As well known, Boltzmann-Gibbs statistics is the correct way of thermostatistically approaching ergodic systems. On the other hand, nontrivial ergodicity breakdown and strong corre…