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Extensive simulations were carried out to investigate the crossover between the hydrodynamic regime at intermediate stage and the thermal fluctuation regime at late stage in a phase-separating binary fluid/surfactant system in two dimensions. The existence of the crossover and its dependence on the surfactant concentration were analyzed using Kawasaki and Ohta's interface kinetic equation ͓Physica A 118, 175 ͑1983͔͒. The analysis showed that there should exist a critical surfactantdoi:10.1103/physreve.62.766 pmid:11088532 fatcat:3hi4mpxwv5gohemvkleykgnoxa