Campus Units

Physics and Astronomy, Mathematics, Chemistry, Ames Laboratory

Document Type

Article

Publication Version

Published Version

Publication Date

1984

Journal or Book Title

Journal of Mathematical Physics

Volume

25

Issue

10

First Page

3051

Last Page

3063

DOI

10.1063/1.526021

Abstract

For processes where ‘‘filling’’ events occur irreversibly and, in general, cooperatively at the sites of a lattice, the minimal closed hierarchy of rate equations involves only probabilities for (effectively) connected subconfigurations of empty sites. Extended hierarchies of equations for (effectively) disconnected empty subconfigurations couple back to these. Here we consider a solution to the latter via previously developed exact and approximate truncation schemes based on a shielding property of empty sites. Numerical results for several processes are presented for correlation behavior in both autocatalytic and autoinhibitory rate regimes. The asymptotic large separation behavior of the spatial correlations is analyzed most easily by z‐transforming the equations with respect to separations and is fundamentally different from that of equilibrium distributions.

Comments

This article is published as Evans, J. W., D. R. Burgess, and D. K. Hoffman. "Irreversible random and cooperative processes on lattices: Spatial correlations." Journal of mathematical physics 25, no. 10 (1984): 3051-3063, doi:10.1063/1.526021. Posted with permission.

Copyright Owner

American Institute of Physics

Language

en

File Format

application/pdf

Included in

Physics Commons

Share

COinS