Abstract

Geometry plays a fundamental role in the evolution of a class of nonequilibrium systems called cellular structures (1). The evolution of stable cellular structures is characterized by universal or system-independent statistical distributions, which possess scaling properties. These systems play important roles in various technological applications. The uses of foams range from transport of granular media in pipes to fire suppression and explosion attenuation (2). Polycrystalline thin films are used in electronic devices such as MOSFET transistors (3), magnetic storage media (4), and conductors (5). The technological performance of these materials depends on the characteristics of their inherent cellular structure. For example, the strength of a polycrystalline metal under stress depends on the average grain size (6). The phenomenon of electromigration, which occurs along grain boundaries in thin film conductors, is responsible for their electronic noise and eventual failure. Mean times to failure have been shown to depend on mean grain size (7) and, surprisingly, on grain geometry (8). Controlled cellular structure formation in novel materials is, however, inherently interesting. The work by Chakrapani et al. (9) in a recent issue of PNAS demonstrated the formation of cellular structures out of vertical carbon nanotube arrays on silicon that can be floated off the substrate. Carbon, besides being the basis of all living matter, contributes some of the most extraordinary properties to artificial materials. For example, a ring of n odd-numbered sp2 bonded carbon atoms would be an insulator when n is small, say 5, 7; a metal when …

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call