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Josephson current and $π-$state in ferromagnet with embedded superconducting nanoparticles

On the basis of Usadel equations we investigate superconductor/ferromagnet/superconductor (S/F/S) hybrid systems which consist of superconducting nanostructures (spheres, rods) embedded in ferromagnetic metal. The oscillations of the critical current of the S/F/S Josephson junctions with the thickness of ferromagnetic spacer between superconducting electrodes are studied. We demonstrate that the $π$ state can be realized in such structures despite of a dispersion of the distances between different parts of the electrodes. The transitions between 0 and $π$ states at some thickness of ferromagnetic spacer can be triggered by temperature variation.