An interacting spin flip model for one-dimensional proton conduction
Abstract
A discrete asymmetric exclusion process (ASEP) is developed to model proton conduction along one-dimensional water wires. Each lattice site represents a water molecule that can be in only one of three states; protonated, left-pointing, and right-pointing. Only a right(left)-pointing water can accept a proton from its left(right). Results of asymptotic mean field analysis and Monte-Carlo simulations for the three-species, open boundary exclusion model are presented and compared. The mean field results for the steady-state proton current suggest a number of regimes analogous to the low and maximal current phases found in the single species ASEP [B. Derrida, Physics Reports, {\bf 301}, 65-83, (1998)]. We find that the mean field results are accurate (compared with lattice Monte-Carlo simulations) only in the certain regimes. Refinements and extensions including more elaborate forces and pore defects are also discussed.
Cite
@article{arxiv.cond-mat/0212046,
title = {An interacting spin flip model for one-dimensional proton conduction},
author = {Tom Chou},
journal= {arXiv preprint arXiv:cond-mat/0212046},
year = {2009}
}
Comments
13pp, 6 figs