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We consider a suspended elastic rod under longitudinal compression. Thecompression can be used to adjust potential energy for transverse displacementsfrom harmonic to double well regime. The two minima in potential energy curvedescribe two possible buckled states at a particular strain. Using transitionstate theory (TST) we have calculated the rate of conversion from one state toother. If the strain $\epsilon$ is between $\epsilon_c$ and $4 \epsilon_c$, thesaddle point is the straight rod. But for $\epsilon_c < 4 \epsilon_c$, thesaddle is S-shaped. At $\epsilon_c = 4 \epsilon_c$ the simple TST ratediverges. We suggest methods to correct this divergence, both for classical andquantum calculations. We also find that zero point energy contributions can bequite large (as large as $10^9$) so that single mode calculations can lead tolarge errors in the rate.Comment: 8 pages, 8 figure

The Effect of Interface Chemical Bonds on the Behaviour of Nanotube-Polyethylene Composites Under Nano-Particle Impacts