Ising Model Simulation and Empirical Research of Barkhausen Noise

Abstract

In this paper, Monte Carlo simulations are performed based on the two-dimensional Ising model with the objective of matching the simulated magnetic Barkhausen noise (MBN) signals with the measured MBN signals obtained from empirical research on bearing steel of different hardness levels. Firstly, the methods for obtaining simulated MBN signals based on the Ising model are studied. This paper suggests that simulated MBN signals obtained by applying a digital filter to the simulated magnetization curve, both in the time domain and frequency spectrum, are closer to the actual measured signals. Secondly, the influencing factors of the two-dimensional Ising model are studied, including lattice size (N), temperature (T), neighbor interaction (J), external magnetic field (H(t)), number of simulation points per period (\(P_{sim}\)) and Monte Carlo step (MCS). Furthermore, the simulated MBN signals and their feature diagrams under different temperatures and neighbor interactions are plotted. Finally, a method is proposed to match the simulated MBN signals with the actual measured MBN signals using scaling and shifting, reducing the relative error between the simulated and measured MBN signal features to within 7%. This method makes it possible to generate simulated MBN signals at different hardness levels.