منابع مشابه
Rotational dynamics of turbulence and Tsallis statistics
The Langevin equation and its adaptations can reproduce accurately key aspects of fluid-particle motions in turbulent flows including: ballistic and normal-diffusive transport regimes, Lagrangian velocity autocorrelation functions and integral Lagrangian timescales. More recently it has become apparent that trajectory-rotations are also important dynamical quantities and that non-zero mean rota...
متن کاملTsallis Statistics as a Tool for Studying Interstellar Turbulence
We used magnetohydrodynamic (MHD) simulations of interstellar turbulence to study the probability distribution functions (PDFs) of increments of density, velocity, and magnetic field. We found that the PDFs are well described by a Tsallis distribution, following the same general trends found in solar wind and Electron MHD studies. We found that the PDFs of density are different in subsonic and ...
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 کاملAstrophysical 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 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...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2004
ISSN: 0167-2789
DOI: 10.1016/j.physd.2004.01.034