BCS model in Tsallis’ statistical framework

Lizardo H.C.M. Nunes and E.V.L. de Mello

Physica A: Statistical Mechanics and its Applications, 2001, vol. 296, issue 1, 106-118

Abstract: 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∼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.

Keywords: BCS theory; Nonextensive statistical mechanics (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:296:y:2001:i:1:p:106-118

DOI: 10.1016/S0378-4371(01)00147-9

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