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The van der Waals and Casimir-Polder interaction energy of an atom with aninfinitely thin sphere with finite conductivity is investigated in theframework of the hydrodynamic approach at finite temperature. Thisconfiguration models the real interaction of an atom with fullerene. TheLifshitz approach is used to find the free energy. We find the explicitexpression for the free energy and perform the analysis of it for i) high andlow temperatures, ii) large radii of sphere and ii) short separation between anatom and sphere. At low temperatures the thermal part of the free energyapproaches zero as forth power of the temperature while for high temperaturesit is proportional to the first degree of the temperature. The entropy of thissystem is positive for small radii of sphere and it becomes negative at lowtemperatures and for large radii of the sphere.

The thermal Casimir-Polder interaction of an atom with spherical plasma shell