Gap Distribution Function Research Articles

Analytic model for a ballistic deposition process.

We study a continuous ballistic deposition process in which disks are incident vertically on an infinite line in random positions. If an incoming disk 1 falls on top of an already adsorbed disk 2, it will, unless prevented by a neighboring disk, roll over the surface of disk 2 until it contacts the line. The kinetics of formation of the first layer, when formulated in terms of a gap distribution function, may be solved exactly. We find in particular that the saturation density is \ensuremath{\rho}(\ensuremath{\infty})=0.808 65 . . . . The results are compared with the simpler random sequential adsorption process.

Theory of superconducting gap function Δ in high-temperature layered materials

The energy-gap function Δ is a dominant feature in the long-wavelength optical spectrum of superconductors. We find Δ to be a function of qz as well as of temperature. We derive the equation that it satisfies and display some features of the solutions, including the gap-distribution function and the quasi-particle density of states, for a range of values of the parameters α, F, and tz.