Test of Non-extensive Statistical Mechanics by the Solar Sound Speeds Measured in Helioseismology

Astronomy and Astrophysics – Astrophysics

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jldu@tju.edu.cn To check the validity of the theory of non-extensive statistical mechanics, we have investigated the non-extensive degree of the solar interior and have tried to find the experimental evidence by helio-seismological measurements that q is different from unity. We are able to derive a parameter for providing a lower limit to the non-extensive 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) ≥ 0.1902 for all solar radii between 0.15R and 0.95R and (1-q) ≈ 0.4 for the out layers, 0.75R ≤ r ≤ 0.95R . Thus, the result that the non-extensive parameter q is significantly different from unity in the sun has received the support by the experiment measurements for the solar sound speeds in helioseismology.

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