Early Universe Test of Nonextensive Statistics
نویسندگان
چکیده
Within an early Universe scenario, nonextensive thermostatistics (NET) is investigated on the basis of data concerning primordial Helium abundance. We obtain first order corrections to the energy densities and weak interactions rates, and use them to compute the deviation in the primordial Helium abundance. After compare with observational results, a severe bound is stablished. PACS number(s): 04.90. +e, 05.20. -y [email protected] [email protected] 1 For a variety of physical reasons much work is nowadays devoted to nonlinear formalisms. Among them we can single out nonextensive thermostatistics (NET) [1] as an active area of research. NET is based upon the following two postulates [2,3]: Postulate 1.The entropy of a system that can be found with probability pi in any of W different microstates i is given by Sq = (q − 1) −1 W
منابع مشابه
Cosmology in a non-standard statistical background
We study the primordial neutron to baryon ratio in a cosmological expanding background within the context of non-extensive statistics, in a fully analytical approach. First order corrections to the weak interaction rates and energy densities in the early universe are obtained and their consequences on the Helium synthesis are analized. We find that, if the nucleosynthesis scenario should be in ...
متن کاملInteracting Many-Investor Models, Opinion Formation and Price Formation with Non-extensive Statistics
We seek to utilize the nonextensive statistics to the microscopic modeling of the interacting many-investor dynamics that drive the price changes in a market. The statistics of price changes are known to be fit well by the Students-T and power-law distributions of the nonextensive statistics. We therefore derive models of interacting investors that are based on the nonextensive statistics and w...
متن کاملar X iv : a st ro - p h / 04 03 47 2 v 1 1 9 M ar 2 00 4 Nonextensivity and Galaxy Clustering in the Universe
We investigate two important questions about the use of the nonextensive thermo-statistics (NETS) formalism in the context of nonlinear galaxy clustering in the Universe. Firstly, we define a quantitative criterion for justifying nonextensivity at different physical scales. Then, we discuss the physics behind the ansatz of the entropic parameter q(r). Our results suggest the approximate range w...
متن کامل1 2 Ja n 20 06 On different q - systems in nonextensive thermostatistics
It is known that the nonextensive statistics was originally formulated for the systems composed of subsystems having same q. In this paper, the existence of composite system with different q subsystems is investigated by fitting the power law degree distribution of air networks with q-exponential distribution. Then a possible extension the nonextensive statistics to different q systems is provi...
متن کامل6 M ay 2 00 3 Power law distribution of Rényi entropy for equilibrium systems having nonadditive energy
Using Rényi entropy, an alternative thermo-statistics to Tsallis one for nonextensive systems at equilibrium is discussed. We show that it is possible to have the q-exponential distribution function for equilibrium nonextensive systems having nonadditive energy but additive entropy. It is also shown that additive energy makes no sense and is not suitable for interacting systems described by non...
متن کامل