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nonextensivity. Astrophysics and cosmology are two of the areas where Tsallis’ theory may find important applications. This is due to … galaxies, hot gases of particles and plasmas. Also, it may be used to study a number of interesting problems in cosmology, like …
Persistent link: https://www.econbiz.de/10010590200
Maximum entropy principle does not seem to distinguish between the use of Tsallis and Renyi entropies as either of them may be used to derive similar kind of q-exponential distributions. In this paper, we address the question whether the Renyi entropy is equally suitable to describe those...
Persistent link: https://www.econbiz.de/10010874530
In this paper I propose a new way for counting the microstates of a system out of equilibrium. As, according to quantum mechanics, things happen as if a given particle can be found in more than one state at once, I extend this concept to propose the coherent access by a particle to the available...
Persistent link: https://www.econbiz.de/10010874582
Pol oscillator also serves as a nice model where the interplay of both nonextensivity and open character of the system can … in the framework of the misidentification of the correct form of the q-exponentials and the nonextensivity index q. …
Persistent link: https://www.econbiz.de/10010871901
The role electron nonextensivity may play on the energy carried by the ion-acoustic (IA) solitons is examined. A …
Persistent link: https://www.econbiz.de/10010777048
In the context of nonextensive Tsallis statistics, sensible examples are employed in order to compare the variational method proposed in Phys. Rev. Lett. 80 (1998) 218 with the one in J. Phys. A 26 (1993) L893. These examples are such that they can be solved exactly. Thus, a comparison of the...
Persistent link: https://www.econbiz.de/10010589973
We obtain an analytic expression for the specific heat of a system of N rigid rotators exactly in the high temperature limit, and via a perturbative approach in the low temperature limit. We then evaluate the specific heat of a diatomic gas with both translational and rotational degrees of...
Persistent link: https://www.econbiz.de/10010590585
It is well known that, for chaotic systems, the production of relevant entropy (Boltzmann–Gibbs) is always linear and the system has strong (exponential) sensitivity to initial conditions. In recent years, various numerical results indicate that basically the same type of behavior emerges at...
Persistent link: https://www.econbiz.de/10010590994
The Jensen–Shannon divergence is a symmetrized and smoothed version of the Kullback–Leibler divergence. Recently it has been widely applied to the analysis and characterization of symbolic sequences. In this paper we investigate a generalization of the Jensen–Shannon divergence. This...
Persistent link: https://www.econbiz.de/10010591364
in a nonextensive Tsallis framework starting from first principles. The analysis in terms of nonextensivity implies that … on nonextensivity. The latter suggests that the activation of the L’Aquila fault is a magnified image of the laboratory …, earthquake, and electromagnetic precursor occurrence by means of complexity and nonextensivity. …
Persistent link: https://www.econbiz.de/10010591392