We study critical surfaces for a surface energy which contains the squared $L^2$ norm of difference mean curvature $H$ and spontaneous $c_o$, coupled to elastic boundary curve. investigate existence equilibria with $H\equiv -c_o$. When $c_o \ge 0$ we characterize those cases where infimum this is finite topological annuli find minimizer in that it exists. Results discs are also given.

In atmospheric pressure discharges, such as dielectric barrier discharges (DBDs), it is common to have transient sheaths having electric fields of hundreds of kV cm−1. With these sheaths, even with short mean free paths, it may be possible to deliver short pulses of energetic ions (tens to hundreds of eV) to surfaces. The energies of these ions can be controlled to some extent by selecting the ...

Using first-principles calculations we studied the energetics surface energy, step energy, stability with respect to faceting of the lowand high-Miller-index vicinal Cu surfaces, namely, the 111 , 100 , 110 , 311 , 331 , 210 , 211 , 511 , 221 , 711 , 320 , 553 , 410 , 911 , and 332 surfaces. Our calculations are based on density-functional theory employing the all-electron full-potential linear...