We explore the phenomena of prethermalization in a many-body classical system of rotors under aperiodic drives characterized by waiting time distribution (WTD), where the waiting time is defined as the time between two consecutive kicks. We consider here two types of aperiodic drives: random and quasiperiodic. We observe a short-lived pseudothermal regime with algebraic suppression of heating for the random drive where WTD has an infinite tail, as observed for Poisson and binomial kick sequences. On the other hand, quasiperiodic drive characterized by a WTD with a sharp cutoff, as observed for the Thue-Morse sequence of kicks, lead to a prethermal region where heating is exponentially suppressed. However, according to our observations, the exponential suppression of the heating rate can not be associated with the boundedness of the WTD. The kinetic energy growth is analyzed using an average surprise associated with the WTD quantifying the randomness of the drive. In all aperiodic drives we obtain the chaotic heating regime for late times; however, the diffusion constant gets renormalized by the average surprise of the WTD in comparison to the periodic case.

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• Classical statistical mechanics
• Coupled oscillators
• Floquet systems
• Molecular dynamics