The fluctuation of bilayers in the sponge (L-3) phase of the binary mixture
of a nonionic surfactant, pentaethylene glycol dodecyl ether (C12E5), and
water is studied by the dynamic light scattering spectroscopy. In concentra
ted solution, the autocorrelation function of the scattered light intensity
shows almost a single exponential decay and the inverse of correlation tim
e Gamma is proportional to the square of scattering wavevector q. In dilute
solution, the autocorrelation function shows a stretched exponential decay
and the dispersion of Gamma shows a crossover behavior from Gamma proporti
onal to q(2) to Gamma proportional to q(3) as q increases. It is found that
the dispersions of Gamma at various concentrations and temperatures can be
scaled into the universal curve. The results for dilute solution are compa
red with a recent theory concerning to the thermal fluctuation of membranes
.