Structure of domains in random Ising magnets

We investigate the behavior of domains in random Ising magnets by use of a Monte Carlo simulation. The discovery and investigation of fractality and interpenetration in the structure of the domains of two- and three-dimensional diluted antiferromagnets in an external magnetic field leads to new theoretical considerations concerning the behavior of a domain state. To emphasize the relevance of these considerations for experimental findings we calculate the spatial correlation function of this frozen domain state and compare the results with those line shapes found from neutron-scattering experiments. We give an alternative interpretation of the corresponding correlation length.