Competitive irreversible random one-, two-, three-,. point adsorption on two-dimensional lattices

Journal Article · Fri Feb 15 04:00:00 EST 1985 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.31.1759· OSTI ID:5966057

Evans, J W; Nord, R S

An analytic treatment of competitive, irreversible (immobile) random one-, two-, three-, . . . point adsorption (or monomer, dimer, trimer, . . . filling) on infinite, uniform two-dimensional lattices is provided by applying previously developed truncation schemes to the hierarchial form of the appropriate master equations. The behavior of these processes for two competing species is displayed by plotting families of ''filling trajectories'' in the partial-coverage plane for various ratios of adsorption rates. The time or coverage dependence of various subconfiguration probabilities can also be analyzed. For processes where no one-point (monomer) adsorption occurs, the lattice cannot fill completely; accurate estimates of the total (and partial) saturation coverages can be obtained.

• Research Organization: Ames Laboratory, Ames, Iowa 50011 and Department of Chemistry, Iowa State University, Ames, Iowa 50011
• DOE Contract Number: W-7405-ENG-82
• OSTI ID: 5966057
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 31:4; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ADSORPTION
ANALYTICAL SOLUTION
COATINGS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
DATA
DIMERS
INFORMATION
IRREVERSIBLE PROCESSES
MONOMERS
NUMERICAL DATA
POLYMERS
PROBABILITY
RANDOMNESS
SATURATION
SORPTION
SORPTIVE PROPERTIES
SURFACE PROPERTIES
THEORETICAL DATA
TWO-DIMENSIONAL CALCULATIONS