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Statistical prethermalization in randomly kicked many-body classical rotor system

2024/08/20 by Aritra Kundu, Kundu, Aritra, Tanay Nag +3 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Quantum chaos and dynamical systems #Scientific Research and Discoveries #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2408.11109

openalex publication_date 2024/08/20 · openalex created_date 2024/12/16 · openalex updated_date 2026/07/28

Abstract

We explore the phenomena of prethermalization in a many-body classical system of rotors under aperiodic drives characterised 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 quasi-periodic. We observe a short-lived pseudo-thermal 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, quasi-periodic drive characterised by a WTD with a sharp cut-off, observed for Thue-Morse sequence of kick, leads to prethermal region where heating is exponentially suppressed. The kinetic energy growth is analyzed using an average surprise associated with WTD quantifying the randomness of drive. In all of the aperiodic drives we obtain the chaotic heating regime for late time, however, the diffusion constant gets renormalized by the average surprise of WTD in comparison to the periodic case.

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