Exactly solvable irreversible processes on Bethe lattices

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1984
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Evans, James
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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.

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This article is published as Evans, J. W. "Exactly solvable irreversible processes on Bethe lattices." Journal of mathematical physics 25, no. 8 (1984): 2527-2532, doi:10.1063/1.526436. Posted with permission.

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Sun Jan 01 00:00:00 UTC 1984
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