The field distribution of a symmetric surface wave (SW) propagating on a weakly ionized unmagnetized plasma placed in a cylindrical ideal waveguide, in which a quartz tube is surrounded by vacuum, is presented in the diffusion-controlled regime. This is done to better understand the effect of some physical parameters such as electron temperature, SW frequency, etc on the plasma column. The graphs of electric and magnetic fields versus the plasma column radius under the radial electron density profile dependency are obtained in the commercial radio frequency region where spatial dispersion might be important.