  We numerically study the physical properties of quasiperiodic superconductors
with the aim of understanding superconductivity in quasicrystals. Considering
the attractive Hubbard model on the Penrose tiling as a simple theoretical
model, we calculate various basic superconducting properties and find
deviations from the universal values of the Bardeen-Cooper-Schrieffer theory.
In particular, we find that the jump of the specific heat at the
superconducting transition is about 10-20% smaller than that universal value,
in consistency with the experimental results obtained for the superconducting
Al-Mg-Zn quasicrystalline alloy. Furthermore, we calculate current-voltage
characteristics and find that the current gradually increases with the voltage
on the Penrose tiling in contrast to a rapid increase in the periodic system.
These distinctions originate from the nontrivial Cooper pairing characteristic
to the quasiperiodic system.
