Phase Coherence Appearance in Thin Superconducting Film with Strong Disorders. The Return to the Mendelssohn Model

It is shown that transition from the mixed state without the phase coherence to the mixed state with the long-range phase coherence (i.e. to the Abrikosov state) of superconductors without disorder must be first order phase transition. The phase coherence appearance in thin superconducting film with strong disorder is considered. The observed smooth transition is explained by increasing of the effective fluctuation dimensionality (from zero to one) in superconductors with strong disorder. Mendelssohn model is used for the explanation of the resistive properties of film with strong disorder.