عنوان مجله
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PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
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چکیده
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It is shown that, due to the effects of non-extensivity, the ordinary well-known Jeans mass
limit (𝑀𝐽 ), resting on Newton’s gravity and Gibbs statistics, may not be valid everywhere.
Indeed, the Tsallis formalism allows smaller values for Jeans mass compared to 𝑀𝐽 , which
may justify star formation in cases like Bok globules whose masses are smaller than 𝑀𝐽 . The
values of non-extensive parameter 𝑞 corresponding to some Bok objects are also computed.
Thereinafter, the Lane–Emden equation is also calculated as the result of satisfying the condition
of hydrostatic equilibrium. The research is concluded by introducing a novel Lane–Emden
equation to provide a more detailed exploration of the effects of non-extensivity on stellar
equilibrium. This equation, accompanied by analytical solutions, can be useful for modeling the
behavior of low-mass stars and would provide insights into the distribution of density, pressure,
and temperature in self-gravitating systems like protoplanetary disks and neutron stars.
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