Date of Award
Doctor of Philosophy
Kinetic models for irreversible cooperative processes on lattices are developed. Hierarchial rate equations for the probabilities of configurations of empty sites are discussed in detail and the concept of shielding is introduced. Several, exactly soluble, one-dimensional processes are treated including (1) those incorporating a cooperative range of influence of one lattice vector beyond a fixed number of blocking sites, (2) filling in stages for highly repulsive interactions, (3) correlation functions, (4) configurational entropy of ring lattices, (5) processes with competing events, (6) periodic lattices and (7) limited mobility. Approximate solution techniques for analyzing other one-dimensional processes are also discussed;A special irreversible kinetic process on a two-dimensional square lattice is also treated and a computer program is described which has been developed to generate the appropriate two-dimensional kinetic equations. The resultant equations are treated using various factorization/truncation schemes;A method is given to determine rate constants for irreversible polymer reactions from experimental measurements of the fraction of converted sites with time. Other aspects of irreversible polymer reactions are also treated;The chemisorption of nitrogen onto the (100) face of tungsten is discussed as an example of how irreversibility influences surface processes;A short discussion of irreversible three-dimensional processesin crystalline solids concludes the work;*DOE Report IS-T-1035. This work was performed under ContractW-7405-eng-82 with the Department of Energy.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
David Ray Burgess
Burgess, David Ray, "Irreversible cooperative processes on lattices " (1982). Retrospective Theses and Dissertations. 8333.