On the Kolmogorov constant for capillary wave turbulence

Recent progress in understanding the theoretical value of Kolmogorov constant for capillary wave turbulence is reported. In addition to reviewing the theoretical derivation, I focus on the clarification and correction of two inconsistent points in the previous derivation, which have resulted in confusions in recent experimental/numerical attempts to verify the theoretical value. The two points include: (i) the definition of wave spectrum in an infinite domain and (ii) an integral involved in the calculation of energy flux by triad resonance. The theoretical formulation after the correction is summarized.