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K_s-band images of 20 barred galaxies show an increase in the peak amplitudeof the normalized m=2 Fourier component with the R_25-normalized radius at thispeak. This implies that longer bars have higher $m=2$ amplitudes. The long barsalso correlate with an increased density in the central parts of the disks, asmeasured by the luminosity inside 0.25R_25 divided by the cube of this radiusin kpc. Because denser galaxies evolve faster, these correlations suggest thatbars grow in length and amplitude over a Hubble time with the fastest evolutionoccurring in the densest galaxies. All but three of the sample have early-typeflat bars; there is no clear correlation between the correlated quantities andthe Hubble type.

Variation of Galactic Bar Length with Amplitude and Density as Evidence for Bar Growth over a Hubble Time