Stability analysis of the classical ideal gas in nonextensive statistics and the negative specific heat

Details Stability analysis of the classical ideal gas in nonextensive statistics and the negative specific heat Stability analysis of the classical ideal gas in nonextensive statistics and the negative specific heat

2008-04-23

arxiv.org/abs/0804.3733v2

Physica A 387(2008)5768-5771

Physics

Condensed Matter

Statistical Mechanics

6 pages,40 references

Scientific paper

10.1016/j.physa.2008.06.006

We present a stability analysis of the classical ideal gas in a new theory of nonextensive statistics and use the theory to understand the phenomena of negative specific heat in some self-gravitating systems. The stability analysis is made on the basis of the second variation of Tsallis entropy. It is shown that the system is thermodynamically unstable if the nonextensive parameter is q>5/3, which is exactly equivalent to the condition of appearance of the negative specific heat.

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