The role of Hurst exponent on cold field electron emission from conducting materials: from electric field distribution to Fowler-Nordheim plots.

ABSTRACT: This work considers the effects of the Hurst exponent (H) on the local electric field distribution and the slope of the Fowler-Nordheim (FN) plot when considering the cold field electron emission properties of rough Large-Area Conducting Field Emitter Surfaces (LACFESs). A LACFES is represented by a self-affine Weierstrass-Mandelbrot function in a given spatial direction. For 0.1 ≤ H < 0.5, the local electric field distribution exhibits two clear exponential regimes. Moreover, a scaling between the macroscopic current density (JM) and the characteristic kernel current density (JkC), JM ≈ [JkC]βH, with an H-dependent exponent βH > 1, has been found. This feature, which is less pronounced (but not absent) in the range where more smooth surfaces have been found (0.5 ≤ H ≤ 0.9), is a consequen

SUBMITTER: de Assis TA 

PROVIDER: S-EPMC4451801 | biostudies-literature | 2015 Jun

REPOSITORIES: biostudies-literature