Memory and persistence correlation of microstructural fluctuations in two-dimensional dusty plasma liquids

We investigate the temporal memory and persistence time correlations of microstructural order fluctuations in quasi-two-dimensional dusty plasma liquids through directly monitoring particle positions. The persistence length of the ordered and the disordered microstates both follow power-law distribution for the cold liquid. The correlation probabilities of the persistence lengths in different pairs of fluctuating cycles show that an order-disorder-order and a disorder-order-disorder sequence are more likely to have the long-short-long or short-long-short persistent lengths combination. The persistence time correlation lasts for several fluctuating cycles. The correlation memory is stored in the surrounding heterogeneous network through mutual coupling. Increasing thermal noise level deteriorates the memory and leads to the less correlated stretched exponential distribution of the persistent length.