Exactly solvable irreversible processes on Bethe lattices

Journal Article · Wed Aug 01 00:00:00 EDT 1984 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526436· OSTI ID:6949413

Evans, J W

We consider the kinetics of processes where the sites of a Bethe lattice are filled irreversibly and, in general, cooperatively by monomers, dimers, or polyatomics. For nearest neighbor and sometimes more general cooperative effects (including random filling as a special case), we show that the infinite hierarchy of rate equations for probabilities of empty subconfigurations can be exacty truncated and solved using a shielding property of empty sites. We indicate, in certain cases, a connection between these Bethe lattice solutions and certain approximate truncation solutions for corresponding processes on ''physical'' 2-D and 3-D lattices with the same coordination number.

• Research Organization: Ames Laboratory and Department of Chemistry, Iowa State University, Ames, Iowa 50010
• OSTI ID: 6949413
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 25:8; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
BETHE-GOLDSTONE EQUATION
CRYSTAL LATTICES
CRYSTAL STRUCTURE
DATA
DIMERS
DYNAMICS
EQUATIONS
INFORMATION
IRREVERSIBLE PROCESSES
MECHANICS
MONOMERS
NUMERICAL DATA
THEORETICAL DATA