The effect of electron-ion collisions on the breaking of cylindrical plasma oscillations

The influence of electron-ion collisions on the breaking of cylindrical nonlinear plasma oscillations is studied. Numerical calculations by the particle method and an analytic analysis by the perturbation method in the weak nonlinearity regime show that with increasing collision frequency, the time of the breaking of plasma oscillations increases. The threshold value of the collision frequency is found, at which excess the density singularity does not arise. In this case, the maximum of the electron density formed outside the axis of the oscillations, the growth of which in the regime of rare collisions leads to the breaking effect, after some growth begins to decrease due to damping of the oscillations.