Negative heat capacity and non-extensive kinetic theory

Abstract

The negative nature of the heat capacity $C_V$ of thermodynamically isolated self-gravitating systems is rediscussed in the framework of a non-extensive kinetic theory. It is found that the dependence of $C_V$ on the non-extensive parameter $q$ gives rise to a negative branch with the critical value corresponding to $q=5/3$ ($C_V\to -\infty$).

7 pages, 1 figure, revised version to appear in Phys. Lett. A

References in corpus (3)

• Long-term Evolution of Stellar Self-Gravitating System away from the Thermal Equilibrium: connection with non-extensive statistics
• Gravitational instability of isothermal and polytropic spheres
• Gravothermal Catastrophe and Tsallis' Generalized Entropy of Self-Gravitating Systems III. quasi-equilibrium structure using normalized q-values

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