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From the nonlinear Fokker-Planck equation to the Vlasov description and back: Confined interacting particles with drag
(American Physical Society, 2018-02)
Nonlinear Fokker-Planck equations endowed with power-law diffusion terms have proven to be valuable tools for the study of diverse complex systems in physics, biology, and other fields. The nonlinearity appearing in these ...
Nonlinear fokker-planck equation for an overdamped system with drag depending on direction
(Multidisciplinary Digital Publishing Institute, 2021-09)
We investigate a one-dimensional, many-body system consisting of particles interacting via repulsive, short-range forces, and moving in an overdamped regime under the effect of a drag force that depends on direction. That ...
Nonextensive thermostatistics and the H theorem
(American Physical Society, 2001-04)
Using the Boltzmann's transport equation method, the kinetic foundations of Tsallis' nonextensive thermostatistics were investigated. The analysis follows from a nonextensive generalization of the 'molecular chaos hypothesis.' ...
General entropy-like uncertainty relations in finite dimensions
(IOP Publishing, 2014-11)
We revisit entropic formulations of the uncertainty principle (UP) for an arbitrary pair of positive operator-valued measures (POVM) A and B, acting on finite dimensional Hilbert space. Salicrú generalized (h, ) ϕ -entropies, ...
Size effects in finite systems with long-range interactions
(American Physical Society, 2018-03)
Small systems consisting of particles interacting with long-range potentials exhibit enormous size effects. The Tsallis conjecture [Tsallis, Fractals 3, 541 (1995)], valid for translationally invariant systems with long-range ...
Universality classes for the Fisher metric derived from relative group entropy
(Elsevier Science, 2020-06)
We consider the Fisher metric which results from the Hessian of the relative group entropy, that we call group Fisher metric. In particular, the metrics corresponding to the Boltzmann–Gibbs, Tsallis, Kaniadakis and Abe ...
Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
(Elsevier Science, 2018-01)
It ts known that Tsallis’ q-non-additivity entails hidden correlations. It has also been shown that even for a monoatomic gas, both the q-partition function Z and the mean energy 〈U〉 diverge and, in particular, exhibit ...
Q-Gamow states for intermediate energies
(Elsevier Science, 2016-11)
In a recent paper Plastino and Rocca (2016) [18] we have demonstrated the possible existence of Tsallis' q-Gamow states. Now, accelerators' experimental evidence for Tsallis' distributions has been ascertained only at very ...
The principle of maximum entropy explains the cores observed in the mass distribution of dwarf galaxies
(EDP Sciences, 2020-10)
Cold dark matter (CDM) simulations predict a central cusp in the mass distribution of galaxies. This prediction is in stark contrast with observations of dwarf galaxies that show a central plateau or "core"in their density ...
Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
(Molecular Diversity Preservation International, 2017-01)
Interesting non-linear generalization of both Schrödinger's and Klein-Gordon's equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There ...