Nanoparticles are considered to be one of the primary building blocks for nano-structured materials. The formation and growth of nanoparticles from vapor encompasses a wide variety of physical and chemical processes which span a large number of length- and time-scales. Simulation of these processes is key in developing the ability to predict nanoparticle dynamics and therefore create "designer" nanoparticles, particles with desired physical and chemical morphologies. The fundamental processes, their mathematical representation, and solution methodologies are presented and discussed.
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