Nonlinear Dynamics of Metallic Nanofabrication

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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paper given at the 3rd international conference on "Computational modeling and simulation of materials", may 30-June 4, 2004

Scientific paper

Using concepts from fluid dynamics, a partial differential equation for the shape evolution of a metallic nanowire is derived from a semiclassical energy functional that includes electron-shell effects. A rich dynamics, involving movement and interaction of kinks connecting locally stable radii, leads to the formation of a wire whose equilibrium shape is universal and consists of a cylindrical part connected to unduloid-like leads. The universality of the equilibrium shape may provide an explanation for the formation of cylindrical nanowires observed in recent experiments.

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