Record breaking statistics near second order phase transitions

Mily Kundu, Sudip Mukherjee, Soumyajyoti Biswas

Published 2018-05-14Version 1

We numerically study the record statistics near second order phase transitions in the transversely driven Edwards-Wilkinson model for interface depinning in (1+1) dimensions and the Ising model in two dimensions. The total number of record breaking events in the time series of the order parameters of the models show maxima when the system is near criticality. The number of record breaking events and associated quantities show power law scaling near the critical point, with exponent values specific to the universality classes of the respective models. Such behaviors near criticality can be used as a precursor to imminent criticality which is clear and free of small scale measurement errors due to its large signal strength.