The random nature of diffusing jumps and cascade occurrence produce stochas
tic fluctuations of the point-defect fluxes. The effect of such fluctuation
s on the kinetics of void growth is investigated in the present paper. It i
s found that the non-linear coupling between the stochastic fluctuations an
d the void sizes may lead to the instability of void evolution within the m
ean-field theory, when the sizes of voids and their growth rates are both r
elatively small. The growth rate of voids becomes dominated by the stochast
ic component, causing the smaller voids to shrink away. This effect is inve
stigated in terms of a non-equilibrium phase transition induced by a purely
random stochastic noise. The derived conditions for this non-equilibrium t
ransition are compared favourably with experimental observations.