%0 Journal Article %1 Frachebourg1996Exact %A Frachebourg, L. %A Krapivsky, P. L. %D 1996 %I American Physical Society %J Physical Review E %K kinetics, voter-model lattice-models %N 4 %P R3009--R3012 %R 10.1103/physreve.53.r3009 %T Exact results for kinetics of catalytic reactions %U http://dx.doi.org/10.1103/physreve.53.r3009 %V 53 %X The kinetics of an irreversible catalytic reaction on a substrate of arbitrary dimension is examined. In the limit of infinitesimal reaction rate (reaction-controlled limit), we solve the dimer-dimer surface reaction model (or voter model) exactly in arbitrary dimension D. The density of reactive interfaces is found to exhibit a power-law decay for D<2 and a slow logarithmic decay in two dimensions. We discuss the relevance of these results for the monomer-monomer surface reaction model.

@article{Frachebourg1996Exact, abstract = {{The kinetics of an irreversible catalytic reaction on a substrate of arbitrary dimension is examined. In the limit of infinitesimal reaction rate (reaction-controlled limit), we solve the dimer-dimer surface reaction model (or voter model) exactly in arbitrary dimension D. The density of reactive interfaces is found to exhibit a power-law decay for D<2 and a slow logarithmic decay in two dimensions. We discuss the relevance of these results for the monomer-monomer surface reaction model.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Frachebourg, L. and Krapivsky, P. L.}, biburl = {https://www.bibsonomy.org/bibtex/2eec8579082d7854e53fcea2860e832b9/nonancourt}, citeulike-article-id = {6088419}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreve.53.r3009}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v53/i4/pR3009\_1}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRE/v53/i4/pR3009\_1}, doi = {10.1103/physreve.53.r3009}, interhash = {8fd2a77e135e2b9fb57e7615d0210bfc}, intrahash = {eec8579082d7854e53fcea2860e832b9}, journal = {Physical Review E}, keywords = {kinetics, voter-model lattice-models}, month = apr, number = 4, pages = {R3009--R3012}, posted-at = {2014-01-17 11:58:32}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T15:36:09.000+0200}, title = {{Exact results for kinetics of catalytic reactions}}, url = {http://dx.doi.org/10.1103/physreve.53.r3009}, volume = 53, year = 1996 }