Local Field and Dynamic Heterogeneities in the ±J Ising Spin Glasses

The average domain size is calculated for zero and nonzero absolute values of the local field in the $$ \pm J$$ Ising spin glasses in 2D and 3D at different temperatures using Monte Carlo simulations. The absolute values of the local field determine the spin flip probability, and thus the obtained domain sizes shed light on dynamical heterogeneities in glasses, which are currently being actively studied. It turns out that the average domain size for nonzero absolute values of the local field, corresponding to slow spin dynamics at low temperature, increases and saturates with decreasing temperature, mainly due to an increase in the probability of finding nonzero local fields. However, a slight effect of spatial correlations of the local field is also revealed. These results can be useful for understanding the nature and specific features of glass transition and dynamical heterogeneities in glasses.