Thermodynamics of superconducting Bi2Sr2Ca2Cu3O10 in the critical fluctuation region near the Hc2(T) line

We report a detailed study of the temperature and magnetic-field dependence of free energy, magnetization, and specific heat of superconducting Bi2Sr2Ca2Cu3O10 in the critical fluctuation region near Hc2(T) line. Our approach is to apply the recently developed nonperturbative scaling theory (Tesanovic et al.) in high fields to describe the reversible magnetization data taken on a c-axis-oriented superconducting Bi2Sr2Ca2Cu3O10 thin tape. We find good agreement on some of the superconducting parameters obtained in the present study with those derived by applying the Ginzburg-Landau theory to our reversible magnetization data taken outside the critical fluctuation region