The superconducting state of small samples in a magnetic field is strongly
dependent on the sample dimensions and geometry. We have initiated measurem
ents of heat capacity of small superconducting disks. Our method, extensive
ly used in many of our related experiments, is to measure the thermal time
constant as a function of temperature of disks on a thin silicon nitride me
mbrane. Theoretical results on heat capacity of the disks based on the Ginz
burg-Landau theory will be presented. (C) 2000 Elsevier Science B.V. All ri
ghts reserved.