We report numerical simulations of Benard convection in infinite Prand
tl number fluids driven by thermocapillary forces. At high Marangoni n
umbers a spectrum E(k) is similar to k-3 of surface temperature fluctu
ations is established due to the formation bf discontinuities of the t
emperature gradient in the form of thermal ripples between contiguous
convective cells. The results support the applicability of Sivashinsky
's model equation beyond its mathematical limit of validity.