Abstract

We have used a phase field model to study Rayleigh instability driven evolution of a cylindrical pore. The key feature in the model is its ability to incorporate surface diffusion as the mechanism for mass transport. We first benchmark our model with analytical results for growth rates of sinusoidal perturbations imposed on the surface of a cylindrical pore of radius R at early times. We then use the model to predict breakdown of infinite cylindrical pores; the principal finding from our analysis is that time to failure scales as R4. We have also studied the break-up of closed and open cylindrical pores of finite length; a series of about five spherical pores get pinched off sequentially at the cylinder ends before the middle parts of the pore break up. Compared to the first closure event in an infinite pore, the first pinch-off event in closed and open pores is faster by about 4 times and 25 times, respectively.

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