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The data on a strongly-nonequilibrium superconducting phase transition in the multi-Josephson-junction loop (MJJL), which represents a close analog of one-dimensional Friedmann-Robertson-Walker cosmological model, are used to refine a concentration of topological defects after the phase transitions of Higgs fields in the early Universe. The thermal correlations between the phases of order parameter revealed in MJJL can reduce considerably the expected number of cosmological defects and, thereby, show a new way to resolve the long-standing problem of their excessive concentration.

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