Theoretical monitoring of energy transport on solid surfaces at nano-metric scales

TL;DR

This paper uses mathematical analysis to demonstrate that energy distribution on solid surfaces at nano scales is non-Gaussian and anisotropic, varying with surface type and contradicting previous assumptions of Gaussian distribution.

Contribution

It provides a theoretical framework showing that energy transport on solid surfaces at nano scales is non-Gaussian and surface-dependent, challenging prior Gaussian assumptions.

Findings

Energy distribution patterns are non-Gaussian at nano scales.

Energy travels faster along the length than the breadth, indicating anisotropy.

Surface type influences the energy transport pattern.

Abstract

The surface is known to intercept energy from bombarding particles. This energy then spreads over the surface. Before now, it has always been said that the distribution of this energy landing on the surface is always Gaussian. However, in this paper, we clearly show, using a set of mathematical tools, the energy distribution patterns on common, simple or ideal, solid surfaces. We consider flat graphene, cubic and rhombohedra surfaces and indicate the energy leads which transport energy units from one atom to the other, away from the landing site of the bombarding particle. The overall nano-scale pattern of the entire energy spread on the surfaces suggests a clearly non-Gaussian form at nano scales. This means the energy distribution on these surfaces can not be assumed to be uniformly distributed over the surface, at nano scales. The energy travels faster along the length than along the breadth, thus the energy distribution is anisotropic even on ideal lattice, at nano scales. The different patterns, obtained, clearly show that the energy distribution into a material, via its surface, is peculiar to the surface