COEXISTENCE FOE A CATALYTIC SURFACE REACTION MODEL
成果类型：
Article
署名作者：
Bramson, Maury; Neuhauser, Claudia
署名单位：
University of Wisconsin System; University of Wisconsin Madison; University of Minnesota System; University of Minnesota Twin Cities
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
发表日期：
1997
页码：
565-614
关键词：
摘要：
We consider a two-dimensional catalytic surface reaction between X and Y-n with Y-n + nX -> nXY, where Y-n is a polymer consisting of n identical atoms, each denoted by Y, and X is a monomer. The reactants X and Y-n are present above the surface in a gaseous phase, and bond to the surface at certain rates. The resulting atoms X and Y on the surface react if they are sufficiently close to each other; the product XY then leaves the surface, A classical example is the oxidation of carbon monoxide on a platinum surface. In this case, n = 2, X = CO and Y-2 = O-2. We consider the case in which the polymer consists of n = N-2 atoms, arranged in a square of length N, with N large. We show that when the range of interaction is large compared to the polymer size, X and Y will typically coexist on the catalytic surface for appropriate bonding rates. If, however, the range of interaction is small compared to the polymer size then, irrespective of the bonding rates, the surface will eventually be fully occupied by the monomer X.