BCS Model in Tsallis' Statistical Framework

Details BCS Model in Tsallis' Statistical Framework BCS Model in Tsallis' Statistical Framework

2001-08-15

arxiv.org/abs/cond-mat/0108251v1

Physica A 296 (2001) 106-118

Physics

Condensed Matter

Superconductivity

13 pages, amssymb

Scientific paper

10.1016/S0378-4371(01)00147-9

We show that there is an effect of nonextensivity acting upon the BCS model for superconductors in the ground state that motivates its study in the Tsallis' statistical framework. We show that the weak-coupling limit superconductors are well described by $q \sim 1$, where q is a real parameter which characterizes the degree of nonextensivity of the Tsallis' entropy. Nevertheless, small deviations with respect to q = 1 provide better agreement when compared with experimental results. To illustrate this point, making use of an approximated Fermi function, we show that measurements of the specific heat, ultrasonic attenuation and tunneling experiments for tin (Sn) are better described with q = 0.99.

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