The elastic interaction force field and rigidity field between kinds on screw dislocation and a substitutional foreign atom were calculated with isotropic elastical approximation.The time-mean-interaction-potential of a harmonic oscillating kink along the tube of the screw dislocation was calculated. There appeared a defect of symmetry of the mean potential at the amplitude larger than a critical amplitude. Double peaks of potential instead of a single peak occured. The center of the kink turned the lowest energy position for the substitutional atom into an instable position.The range of parameters in favor of the transition of the diffusional self-organization along the tube of screw dislocation, to form an atmosphere with double maximums of concentration, aud of the harmonic oscillation to flip-flop of the kink was estimated.