Time Discrete Scale Invariance for the dynamics of the Ising magnet on fractal substrates

M. A. BAB; G. FABRICIUS; E. V. ALBANO

Mar del Plata

Congreso; XV Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics; 2006

The study of the continuous phase transitions for the Ising magnet on fractal substrates has shown interesting features. In this work, we are interested in the nonequilibrium dynamic evolution of the physical observables, such as the magnetization, at the criticality within the short time regime. This evolution is influenced by the hierarchical structure of the substrate, leading to the emergence of a logarithmic periodic oscillation superimposed to a power law. We give evidence of the relationship between the time discrete scale invariance, evidenced by the observed oscillation, and the spatial discrete scale invariance of the substrate, which allowed us?to determine of the dynamic critical exponent z. On the other hand, the standard scaling for?the time spin-spin correlation functions, corresponding to a quench from the high temperature state to criticality, allowed an independent evaluation of the exponent z, which validated our previous asseverations.