Paradoxical probabilistic behavior for strongly correlated many-body classical systems

@article{Jauregui2015ParadoxicalPB,
  title={Paradoxical probabilistic behavior for strongly correlated many-body classical systems},
  author={Max Jauregui and Constantino Tsallis},
  journal={Physics Letters A},
  year={2015},
  volume={379},
  pages={1816-1820}
}

Figures from this paper

References

SHOWING 1-10 OF 51 REFERENCES

Strictly and asymptotically scale invariant probabilistic models of N correlated binary random variables having q-Gaussians as N → ∞ limiting distributions

This work analytically shows that the N → ∞ probability distribution is a q-Gaussian with q = (ν−2)/(ν−1), and introduces three types of asymptotically scale invariant probabilistic models with binary random variables, which are in fact strictly scale invariants.

Nonergodicity and central-limit behavior for long-range Hamiltonians

We present a molecular dynamics test of the Central-Limit Theorem (CLT) in a paradigmatic long-range-interacting many-body classical Hamiltonian system, the HMF model. We calculate sums of velocities

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

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

Overdamped motion of interacting particles in general confining potentials: time-dependent and stationary-state analyses

By comparing numerical and analytical results, it is shown that a system of interacting particles under overdamped motion is very well described by a nonlinear Fokker-Planck equation, which can be

Nonextensive Entropy: Interdisciplinary Applications

A great variety of complex phenomena in many scientific fields exhibit power-law behavior, reflecting a hierarchical or fractal structure. Many of these phenomena seem to be susceptible to

Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World

Basics or How the Theory Works.- Historical Background and Physical Motivations.- Learning with Boltzmann-Gibbs Statistical Mechanics.- Generalizing What We Learnt: Nonextensive Statistical

Beyond Boltzmann–Gibbs statistical mechanics in optical lattices

Cold atoms in dissipative optical lattices exhibit an unusual transport behaviour that cannot be described within Boltzmann–Gibbs statistical mechanics. New theoretical tools and concepts need thus

Possible generalization of Boltzmann-Gibbs statistics

With the use of a quantity normally scaled in multifractals, a generalized form is postulated for entropy, namelySq ≡k [1 – ∑i=1W piq]/(q-1), whereq∈ℝ characterizes the generalization andpi are the
...