Detailed characterization of log-periodic oscillations for an aperiodic ising model.
This work analyzes the behavior of Ising spins on a hierarchical lattice subject to relevant fluctuations on the coupling constants induced by a deterministic aperiodic sequence. The thermodynamical functions are evaluated within the method of transfer matrices. It is shown that log-periodic oscillations in the reduced temperature are present for all thermodynamical functions close to the critical point and that the nature of oscillations changes discontinuously at T(c): for T>T(c) they are almost pure sinusoidal, while, for T<T(c), a second harmonic to the fundamental frequency is clearly observed.
Andrade
R F
RF
Instituto de Física, Universidade Federal da Bahia, Campus da Federação 40210-340 Salvador, Brazil.