Front propagation into unstable metal nanowires

Details Front propagation into unstable metal nanowires Front propagation into unstable metal nanowires

2007-04-17

arxiv.org/abs/0704.2227v1

Phys. Rev. E 76, 026317 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 4 figures

Scientific paper

10.1103/PhysRevE.76.026317

Long, cylindrical metal nanowires have recently been observed to form and be stable for seconds at a time at room temperature. Their stability and structural dynamics is well described by a continuum model, the nanoscale free-electron model, which predicts cylinders in certain intervals of radius to be linearly unstable. In this paper, I study how a small, localized perturbation of such an unstable wire grows exponentially and propagates along the wire with a well-defined front. The front is found to be pulled, and forms a coherent pattern behind it. It is well described by a linear marginal stability analysis of front propagation into an unstable state. In some cases, nonlinearities of the wire dynamics are found to trigger an invasive mode that pushes the front. Experimental procedures that could lead to the observation of this phenomenon are suggested.

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