Europhys. Lett.
Volume 75, Number 6, September 2006
Page(s) 861 - 867
Section General
Published online 09 August 2006
Europhys. Lett., 75 (6), pp. 861-867 (2006)
DOI: 10.1209/epl/i2006-10196-3

Test of nonextensive statistical mechanics by solar sound speeds

Jiulin Du

Department of Physics, School of Science, Tianjin University - Tianjin 300072, PRC

received 18 April 2006; accepted in final form 21 July 2006
published online 9 August 2006

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 $(1-q) \ge 0.1902$ for all solar radii between $0.15R_\odot $ and $0.95R_\odot$ and $(1-q) \approx 0.4$ for the out layers, $0.75R_\odot \le r \le 0.95R_\odot$. Thus, the result that the nonextensive parameter q is significantly different from unity has received the support by the experiment measurements in helioseismology.

05.20.-y - Classical statistical mechanics.
96.60.Jw - Solar interior.
97.10.Cv - Stellar structure, interiors, evolution, nucleosynthesis, ages.

© EDP Sciences 2006