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 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 کاملGeneralized Evolutionary Algorithm based on Tsallis Statistics
Generalized evolutionary algorithm based on Tsallis canonical distribution is proposed. The algorithm uses Tsallis generalized canonical distribution to weigh the configurations for ‘selection’ instead of Gibbs-Boltzmann distribution. Our simulation results show that for an appropriate choice of non-extensive index that is offered by Tsallis statistics, evolutionary algorithms based on this gen...
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 کاملGravitational Instability and Tsallis ’ Nonextensive Statistics
The concept of Jeans gravitational instability is rediscussed in the framework of the nonextensive statistics proposed by Tsallis. A simple analytical formula generalizing the Jeans criterion is derived by assuming that the un-perturbed self-gravitating collisionless gas is described by the q-parametrized class of nonextensive velocity distribution. It is shown that the critical values of wavel...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2008
ISSN: 0378-4371
DOI: 10.1016/j.physa.2008.09.009