Simulation of nonlinear waves in a magnetic flux tube near the quiet solarphotospheric network

Recent high-resolution observations from photospheric magnetograms made wit h the SOHO/Michelson Doppler Imager instrument and Swedish Vacuum Solar Tel escope on La Palma showed that magnetic flux tubes in the quiet photospheri c network of the solar photosphere are highly dynamic objects with small-sc ale substructures. We investigate nonlinear waves propagating along a magne tic flux tube in weakly ionized plasmas with high plasma beta (beta similar or equal to 1) by using three-dimensional neutral-MHD equations. We invest igate the wave propagation along a magnetic flux tube with weak current for the two cases of uniform density along the flux tube and density inhomogen eity due to solar gravity. It is shown that shear Alfven waves are excited due to localized predominantly rotational perturbations, which might be ind uced in the quiet photospheric network boundaries. Excited waves with stron g upflow of wave energy can propagate only upward along the flux tube when the density inhomogeneity due to the gravity is taken into account. We appl y the simulation results to the problem of coronal heating from the quiet p hotospheric network of the solar photosphere.