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For growing inhomogeneous thin films with an island nanostructure similar asobserved in experiment, we determine the nonequilibrium and equilibriumremanent magnetization. The single-island magnetic anisotropy, the dipolecoupling, and the exchange interaction between magnetic islands are taken intoaccount within a micromagnetic model. A cluster Monte Carlo method is developedwhich includes coherent magnetization changes of connected islands. This causesa fast relaxation towards equilibrium for irregularly connected systems. Weanalyse the transition from dipole coupled islands at low coverages to astrongly connected ferromagnetic film at high coverages during film growth. Forcoverages below the percolation threshold, the dipole interaction induces acollective magnetic order with ordering temperatures of 1 - 10 K for theassumed model parameters. Anisotropy causes blocking temperatures of 10 - 100 Kand thus pronounced nonequilibrium effects. The dipole coupling leads to asomewhat slower magnetic relaxation.Comment: 13 pages, 6 figures, revised manuscrip

Magnetic relaxation and dipole-coupling-induced magnetization in nanostructured thin films during growth: A cluster Monte Carlo study