Some new features of interface roughening dynamics in paper-wetting experiments

Some new observations concerning the spatial-temporal dynamics of self-affine interfaces formed in paper-wetting experiments are reported. We find that the motion of the wet front in a porous medium has a stepwise nature. The height of the wetted area, as a function of time, displays a Devil's-staircase-like behaviour with scaling exponent delta, whereas the front width oscillates erratically with lime. These erratic oscillations possess a statistical self-affine invariance in time with the scaling exponent chi, which is found to be equal to the growth exponent beta. We also note that the values of chi, beta and delta, as well as the interface roughness (Hurst) exponent H vary from one experiment to another in wide ranges, and that their distributions obey a normal distribution. The mean values of ail the exponents are dependent on the paper structure, but not on the environmental conditions. Furthermore, we find that the mean value of beta depends on the interface front orientation with respect to the fibre direction in the paper, whereas the mean values of H and delta do not depend on it.