  We introduce a continuum approach to studying the lifetimes of monovalent
metal nanowires. By modelling the thermal fluctuations of cylindrical nanowires
through the use of stochastic Ginzburg-Landau classical field theories, we
construct a self-consistent approach to the fluctuation-induced `necking' of
nanowires. Our theory provides quantitative estimates of the lifetimes for
alkali metal nanowires in the conductance range 10 < G/G_0 < 100 (where
G_0=2e^2/h is the conductance quantum), and allows us to account for
qualitative differences in the conductance histograms of alkali vs. noble metal
nanowires.
