# Entropic extensivity and large deviations in the presence of strong correlations

@article{Tirnakli2021EntropicEA, title={Entropic extensivity and large deviations in the presence of strong correlations}, author={Ugur Tirnakli and Mauricio Bittencourt Marques and Constantino Tsallis}, journal={Physica D: Nonlinear Phenomena}, year={2021} }

## One Citation

### Probabilistic Models with Nonlocal Correlations: Numerical Evidence of Q-Large Deviation Theory

- MathematicsSSRN Electronic Journal
- 2022

## References

SHOWING 1-10 OF 56 REFERENCES

### Breakdown of Exponential Sensitivity to Initial Conditions: Role of the Range of Interactions

- Physics
- 1998

Within a microcanonical scenario we numerically study an N-sized linear chain classical inertial XY model including ferromagnetic couplings which decrease with distance as r (a $ 0). We show that for…

### Validity and failure of the Boltzmann weight

- PhysicsEPL (Europhysics Letters)
- 2018

The dynamics and thermostatistics of a classical inertial XY model, characterized by long-range interactions, are investigated on d-dimensional lattices (d = 1, 2, and 3), through molecular dynamics.…

### Fermi-Pasta-Ulam model with long-range interactions: Dynamics and thermostatistics

- Mathematics
- 2014

We study a long-range–interaction generalisation of the one-dimensional Fermi-Pasta-Ulam (FPU) β-model, by introducing a quartic interaction coupling constant that decays as (with strength…

### Comment on “Towards a large deviation theory for strongly correlated systems”

- Mathematics, Physics
- 2013

### Influence of the interaction range on the thermostatistics of a classical many-body system

- Physics
- 2014

### Dynamics and statistics of the Fermi–Pasta–Ulam β-model with different ranges of particle interactions

- Physics
- 2016

In the present work we study the Fermi–Pasta–Ulam (FPU) β-model involving long-range interactions (LRI) in both the quadratic and quartic potentials, by introducing two independent exponents α1 and…

### Reply to Comment on “Towards a large deviation theory for strongly correlated systems”

- Mathematics
- 2013

### Thermostatistics of overdamped motion of interacting particles.

- PhysicsPhysical review letters
- 2010

We show through a nonlinear Fokker-Planck formalism, and confirm by molecular dynamics simulations, that the overdamped motion of interacting particles at T=0, where T is the temperature of a thermal…

### Black hole thermodynamical entropy

- Physics
- 2013

As early as 1902, Gibbs pointed out that systems whose partition function diverges, e.g. gravitation, lie outside the validity of the Boltzmann–Gibbs (BG) theory. Consistently, since the pioneering…

### Uniqueness and characterization theorems for generalized entropies

- Computer ScienceArXiv
- 2017

It is proved that, under mild regularity assumptions, the only composable generalized entropy in trace form is the Tsallis one-parameter family (which contains Boltzmann–Gibbs as a particular case), which leads to the use of generalized entropies that are not of trace form in the study of complex systems.