Advances in high-temperature material synthesis and processing necessi
tate better understanding of underlying surface processes. Both physic
al and chemical transformations are of concern,those underlying surfac
e reconstructon, film growth, and material etching. While classical th
ermodynamic description may suffice for some aspects, dynamic evolutio
n and coupling to reactant flow is of growing practical importance. Th
e scientific challenge is to explain macroscopic phenomena in terms of
atomistic processes. This manuscript reviews a theoretical approach f
orgoing fi om an atomistic level to mesoscale description to macroscal
e phenomena. The methods includes quantum-mechanical calculations of s
urface models, time-dependent Monte Carlo simulations using reaction p
robabilities derived from the quantum-mechanical calculations, and kin
etic modeling parameterized to the Monte Carlo results. The examples a
re drawn from the fields of silicon, diamond, and carbon materials, st
ressing the methodology and emphasizing general features revealed by r
ecent numerical simulations.