Test of Nonextensive Statistical Mechanics by Solar Sound Speeds

Abstract

To check the validity of the theory of nonextensive statistical mechanics, we have investigated the nonextensive degree of the solar interior and have tried to find the experimental evidence by helioseismological measurements that q is different from unity. We are able to derive a parameter for providing a lower limit to the nonextensive degree inside the sun that can be uniquely determined by the solar sound speeds measured by helioseismology. After calculating the parameter by using the solar sound speeds, we get the lower limit of(1-q)not less than 0.1902 for all solar radii between 0.15R(sun) and 0.95R(sun) and (1-q)approximately equal to 0.4 for the out layers extending from 0.75R(sun)to 0.95R(sun).Thus, the result that the nonextensive parameter q is significantly different from unity has received the support by the experiment measurements for the solar sound speeds in the helioseismology.

11 pages,1 table,1 figure,57references. to appear in Europhys.Lett

References in corpus (4)

• Constraining nonextensive statistics with plasma oscillation data
• Nonextensive theory of dark matter and gas density profiles
• The Chandrasekhar condition of the equilibrium and stability for a star in the nonextensive kinetic theory
• Cluster temperatures and non-extensive thermo-statistics

Cited by in corpus (33)

• Ion acoustic waves in the plasma with the power-law q-distribution in nonextensive statistics
• A nonextensive approach for the instability of current-driven ion-acoustic waves in space plasma
• Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions
• Dust-acoustic instability driven by drifting ions and electrons in the dust plasma with Lorentzian kappa distribution
• The property of kappa-deformed statistics for a relativistic gas in an electromagnetic field: kappa parameter and kappa-distribution
• Transition state theory: a generalization to nonequilibrium systems with power-law distributions
• Dust charging processes in the nonequilibrium dusty plasma with nonextensive power-law distribution
• The nonextensive parameter for nonequilibrium plasmas in magnetic field
• Dust-acoustic waves and stability in the permeating dusty plasma: II. Power-law distributions
• The kappa parameter and kappa-distribution in kappa-deformed statistics for the systems in an external field
• Power-law distributions and fluctuation-dissipation relation in the stochastic dynamics of two-variable Langevin equations
• The nonextensive parameter for the rotating astrophysical systems with power-law distributions
• Secondary electron emissions and dust charging currents in the nonequilibrium dusty plasma with power-law distributions
• The viscosity of charged particles in the weakly ionized plasma with power-law distributions
• A new form of Tsallis distribution based on the probabilistically independent postulate
• Energy fluctuations and the ensemble equivalence in Tsallis statistics
• Thermodynamic potentials and Thermodynamic Relations in Nonextensive Thermodynamics
• The stationary state and gravitational temperature in a pure self-gravitating system
• The collision frequency of electron-neutral-particle in the weakly ionized plasmas with Non-Maxwellian velocity distributions
• The precise time-dependent solution of the Fokker-Planck equation with anomalous diffusion
• The two parameters (k, r) in the generalized statistics
• Solar wind speed theory and the nonextensivity of solar corona
• Stability analysis of the classical ideal gas in nonextensive statistics and the negative specific heat
• Possible dynamics of the Tsallis distribution from a Fokker-Planck equation (I)
• Effect of magnetic field on transports of charged particles in the weakly ionized plasma with power-law q-distributions in nonextensive statistics
• Nonextensivity and q-distribution of a relativistic gas under an external electromagnetic field
• Heat capacity of the generalized two-atom and many-atom gas in nonextensive statistics
• The collision frequency of electron-neutral-particle in the weakly ionized plasma with the power-law velocity distribution
• The adiabatic static linear response function in nonextensive statistical mechanics
• Thermodynamic properties of the solid and metal electrons in the nonextensive quantum statistics with a nonextensive parameter transformation
• Self-consistent modelling of hot plasmas within non-extensive Tsallis' thermostatistics
• The gravitational heat conduction and the hierarchical structure in solar interior
• The anomalous distributions and Soret coefficient in a nonequilibrium colloid system