title: Random sequential adsorption on imprecise lattice.
abstract: We report a surprising result, established by numerical simulations and analytical arguments for a one-dimensional lattice model of random sequential adsorption, that even an arbitrarily small imprecision in the lattice-site localization changes the convergence to jamming from fast, exponential, to slow, power-law, with, for some parameter values, a discontinuous jump in the jamming coverage value. This finding has implications for irreversible deposition on patterned substrates with pre-made landing sites for particle attachment. We also consider a general problem of the particle (depositing object) size not an exact multiple of the lattice spacing, and the lattice sites themselves imprecise, broadened into allowed-deposition intervals. Regions of exponential vs. power-law convergence to jamming are identified, and certain conclusions regarding the jamming coverage are argued for analytically and confirmed numerically.
authors.affiliation: Department of Physics, Clarkson University, Potsdam, New York 13699, USA.
authors.forename: Vladimir
authors.initials: V
authors.lastname: Privman
authors.affiliation: Department of Physics, Clarkson University, Potsdam, New York 13699, USA.
authors.forename: Han
authors.initials: H
authors.lastname: Yan