Showing 41 - 50 of 105
Fisher's information measures, as adapted to a nonextensive (Tsallis) environment, are discussed. For systems of particles that are in a general state of motion a lower bound to these information measures is derived with the help of a recently established upper bound to the entropy increase....
Persistent link: https://www.econbiz.de/10011057684
Quite general, analytical (both exact and approximate) forms for discrete probability distributions (PDs) that maximize Tsallis entropy for a fixed variance are here investigated. They apply, for instance, in a wide variety of scenarios in which the system is characterized by a series of...
Persistent link: https://www.econbiz.de/10011057818
Bacry [Phys. Lett. B 317 (1993) 523] showed that, on the basis of the deformed Poincaré group, special relativity yields a non-additive energy for large systems, i.e., a total energy (of the Universe) which would not be proportional to the number of particles. He consistently argued that this...
Persistent link: https://www.econbiz.de/10011057825
By recourse to (i) the Hellmann–Feynman theorem and (ii) the virial one, the information-optimizing principle based on Fisher’s information measure uncovers a Legendre-transform structure associated with Schrödinger’s equation, in close analogy with the structure that lies behind the...
Persistent link: https://www.econbiz.de/10011058003
With regards to the nonlinear Schrödinger equation recently advanced by Nobre, Rego-Monteiro, and Tsallis (NRT), based on Tsallis q-thermo-statistical formalism, we investigate the existence and properties of its quasi-stationary solutions, which have the time and space dependences...
Persistent link: https://www.econbiz.de/10011058176
We introduce a complex q-Fourier transform as a generalization of the (real) one analyzed in [S. Umarov, C. Tsallis, S. Steinberg, Milan J. Math. 307 (2008)]. By recourse to tempered ultradistributions we show that this complex-plane generalization overcomes all the troubles that afflict its...
Persistent link: https://www.econbiz.de/10011058194
The notion of quantum discord introduced by Ollivier and Zurek [Phys. Rev. Lett 88 (2001) 017901] (see also Henderson and Vedral [J. Phys. A 34 (2001) 6899] ) has attracted increasing attention, in recent years, as an entropic quantifier of non-classical features pertaining to the correlations...
Persistent link: https://www.econbiz.de/10011058633
Tsallis maximum entropy distributions provide useful tools for the study of a wide range of scenarios in mathematics, physics, and other fields. Here we apply a Tsallis maximum entropy ansatz, the q-Gaussian, to obtain time dependent wave-packet solutions to a nonlinear Schrödinger equation...
Persistent link: https://www.econbiz.de/10011058668
A Statistical Complexity measure has been recently proposed to quantify the performance of chaotic Pseudorandom number generators (PRNG) (Physica A 354 (2005) 281). Here we revisit this quantifier and introduce two important improvements: (i) consideration of an intensive statistical complexity...
Persistent link: https://www.econbiz.de/10011059122
We revisit the first law of thermodynamics for nonextensive statistics by recourse to the optimal Lagrange multipliers (OLM) formalism. We show firstly that information theory allows one to obtain thermodynamics' first law in a general ensemble by dealing just with variations in the density...
Persistent link: https://www.econbiz.de/10011059274