Irreversible stochastic processes on lattices

Technical Report · Fri Aug 01 04:00:00 EDT 1986

OSTI ID:5346134

Nord, R S

Models for irreversible random or cooperative filling of lattices are required to describe many processes in chemistry and physics. The kinetics and statistics of these processes are described by recasting the master equations in infinite hierarchial form. Solutions can be obtained by implementing various techniques involving, e.g., truncation or formal density expansions. Refinements in these solution techniques are presented. Problems considered include random dimer, trimer, and tetramer filling of 2D lattices, random dimer filling of a cubic lattice, competitive filling of two or more species, and the effect of a random distribution of inactive sites on the filling. We also consider monomer filling of a linear lattice with nearest neighbor cooperative effects and solve for the exact cluster-size distribution for cluster sizes up to the asymptotic regime. Additionally, we develop a technique to directly determine the asymptotic properties of the cluster-size distribution.

• Research Organization: Ames Lab., IA (USA)
• DOE Contract Number: W-7405-ENG-82
• OSTI ID: 5346134
• Report Number(s): IS-T-1230; ON: DE86015770
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
400201* -- Chemical & Physicochemical Properties
400301 -- Organic Chemistry-- Chemical & Physicochemical Properties-- (-1987)
ADSORPTION
CRYSTAL LATTICES
CRYSTAL STRUCTURE
DIMERS
MATHEMATICAL MODELS
MONOMERS
MONTE CARLO METHOD
POLYMERS
SORPTION
SORPTIVE PROPERTIES
STOCHASTIC PROCESSES
SURFACE PROPERTIES