An Extended Network Model with a Packages Diffusion Process
arXiv:cond-mat/0106222 · doi:10.1016/S0375-9601(02)00806-X
Abstract
The dynamics of a packages diffusion process within a selforganized network is analytically studied by means of an extended % -spin facilitated kinetic Ising model (Fredrickson-Andersen model) using a Fock-space representation for the master equation. To map the three component system (active, passive and packages cells) onto a lattice we apply two types of second quantized operators. The active cells correspond to mobile states whereas the passive cells correspond to immobile states of the Fredrickson-Andersen model. An inherent cooperativity is included assuming that the local dynamics and subsequently the local mobilities are restricted by the occupation of neighboring cells. Depending on a temperature-like parameter (interconnectivity) the diffusive process of the packages (information) can be almost stopped, thus we get a well separation of the time regimes and a quasi-localization for the intermediate range at low temperatures.
13 pages and 1 figure