Astrophysical thermonuclear functions for Boltzmann–Gibbs statistics and Tsallis statistics
نویسندگان
چکیده
منابع مشابه
Astrophysical thermonuclear functions for Boltzmann-Gibbs statistics and Tsallis statistics
One of the first applications of Gamow’s theory of quantum mechanical potential barrier penetration to other than his analysis of alpha radioactivity was in the field of thermonuclear astrophysics [1,2]. Atkinson and Houtermans proposed that the source of energy released by stars lay in thermonuclear reactions taking place near their centres where the motion of nuclei was supposed to be in ther...
متن کاملAstrophysical Thermonuclear Functions
Stars are gravitationally stabilized fusion reactors changing their chemical composition while transforming light atomic nuclei into heavy ones. The atomic nuclei are supposed to be in thermal equilibrium with the ambient plasma. The majority of reactions among nuclei leading to a nuclear transformation are inhibited by the necessity for the charged participants to tunnel through their mutual C...
متن کاملThe standard map: From Boltzmann-Gibbs statistics to Tsallis statistics
As well known, Boltzmann-Gibbs statistics is the correct way of thermostatistically approaching ergodic systems. On the other hand, nontrivial ergodicity breakdown and strong correlations typically drag the system into out-of-equilibrium states where Boltzmann-Gibbs statistics fails. For a wide class of such systems, it has been shown in recent years that the correct approach is to use Tsallis ...
متن کاملCritical fluctuations, intermittent dynamics and Tsallis statistics
It is pointed out that the dynamics of the order parameter at a thermal critical point obeys the precepts of the nonextensive Tsallis statistics. We arrive at this conclusion by putting together two welldefined statistical-mechanical developments. The first is that critical fluctuations are correctly described by the dynamics of an intermittent nonlinear map. The second is that intermittency in...
متن کاملQuasicanonical Gibbs distribution and Tsallis nonextensive statistics
We derive and study quasicanonical Gibbs distribution function which is characterized by the thermostat with finite number of particles (quasithermostat). We show that this naturally leads to Tsallis nonextensive statistics and thermodynamics, with Tsallis parameter q is found to be related to the number of particles in the quasither-mostat. We show that the chi-square distribution of fluctuati...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2004
ISSN: 0378-4371
DOI: 10.1016/j.physa.2004.06.047