Nonlinear Dynamics of Metallic Nanofabrication

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

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