We investigate, through the damage spreading method, the correlation length associated with the two-point correlation function between damage fluctuations, and the damage susceptibility of the square-lattice three-state Potts ferromagnet. We find that both quantities tend to diverge at the...

In this paper (Part I) we extend the linear response analysis to calculate the complex dynamic susceptibility and the complex dynamic mobility/conductivity for a system in a transient state relaxing to equilibrium. This analysis has a meaning in the intermediate time and frequency region; for...

The properties of the response function and the fluctuation dissipation relation in phase-ordering systems are discussed. These issues are shown to be highly nontrivial even in the relatively simple case of coarsening dynamics considered here. It is discussed how the connection between statics...

Numerical calculations for many physical systems including chaos and turbulence have been greatly developed in recent years. We often investigate the characteristics of the time series for chaotic systems and study the essential laws underlying its time series. We show the important...