Percolation Model for Mobile Ad-hoc Random Networks
نویسنده
چکیده
We offer a model for a mobile ad-hoc random network, in which nodes that randomly located in a D dimensional space, have a distance-dependent transition probability to all other nodes. The model is examined in a simple mean-field like fashion. By treating the different paths in the network independently, the percolation phase transition is recovered. The critical behavior of the link length in the network above a critical point, as well as maximal link length below, are found in an approximated way. These results are compared to numerical simulation of the model, and show qualitative agreement. Furthermore, the model serves as a starting point to a short discussion on an Ising model network of the same type, and its critical behavior is calculated in the same way.
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