Articles dans des revues à comité de lecture
|Exact correlation functions in particle-reaction models with immobile particles|
|Chatelain C., Henkel M., de Oliveira M., Tomé T.|
|J. Stat. Mech. (2012) P11006|
|DOI : 10.1088/1742-5468/2012/11/P11006|
|ArXiv : arxiv:1207.2247 [PDF]|
|HAL : hal-00716162|
Exact results on particle-densities as well as correlators in two models of immobile particles, containing either a single species or else two distinct species, are derived. The models evolve following a descent dynamics through pair-annihilation where each particle interacts at most once throughout its entire history. The resulting large number of stationary states leads to a non-vanishing configurational entropy. Our results are established for arbitrary initial conditions and are derived via a generating-function method. The single-species model is the dual of the $1D$ zero-temperature kinetic Ising model with Kimball-Deker-Haake dynamics. In this way, both infinite and semi-infinite chains and also the Bethe lattice can be analysed. The relationship with the random sequential adsorption of dimers and weakly tapped granular materials is discussed.