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Condensed Matter > Superconductivity

Title: BCS Model in Tsallis' Statistical Framework

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 $q \sim 1$, 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.
Comments: 13 pages, amssymb
Subjects: Superconductivity (cond-mat.supr-con); Statistical Mechanics (cond-mat.stat-mech)
Journal reference: Physica A 296 (2001) 106-118
Cite as: arXiv:cond-mat/0108251v1 [cond-mat.supr-con]

Submission history

From: Lizardo H. C. M. Nunes [view email]
[v1] Wed, 15 Aug 2001 16:49:38 GMT (133kb)