The energy spectra of a variety of collective modes on quasiperiodic struct
ures exhibit a complex fractal profile. Among the modes that have attracted
particular attention in this context are the spin wave spectra of quasiper
iodic magnetic multilayers that obey a substitutional sequence of the Fibon
acci type, They are described within the framework of the Heisenberg theory
. In order to have a deep insight on the relevant thermodynamical implicati
ons of the above mentioned energy spectra's fractal profile, we have perfor
med analytical and numerical calculations of the spin wave specific heat as
sociated with successive hierarchical sequences of the Fibonacci quasiperio
dic structures. The spectra show interesting oscillatory behavior in the lo
w-temperature region, which can be traced back to the spin wave's self-simi
lar energy spectrum. (C) 2001 Elsevier Science B.V, All rights reserved.