English

Entropic long-range ordering in an adsorption-desorption model

Statistical Mechanics 2019-07-03 v2

Abstract

We examine a two-dimensional nonequilibrium lattice model where particles adsorb at empty sites and desorb when the number of neighbouring particles is greater than a given threshold. In a certain range of parameters the model exhibits entropic ordering similar to some hard-core systems. However, contrary to hard-core systems, upon increasing the density of particles the ordering gets destroyed. In the heterogenous version of our model a regime with slow dynamics appears, that might indicate formation of some kind of glassy structures.

Keywords

Cite

@article{arxiv.1905.04802,
  title  = {Entropic long-range ordering in an adsorption-desorption model},
  author = {Adam Lipowski and Dorota Lipowska},
  journal= {arXiv preprint arXiv:1905.04802},
  year   = {2019}
}

Comments

6 pages, Phys. Rev. E (accepted)

R2 v1 2026-06-23T09:04:13.586Z