  The dominant dynamics of sensor networks consist of using the energy of the
sensor nodes to create the topology of hierarchical clustering using topology
control protocols. The topology thus created will always have optimum number of
nodes after using a certain amount of energy, vice versa optimum amount of
energy expense to use a certain number of nodes. This paper attempts to find a
relation between the number of nodes and the energy consumed using statistical
mechanics. This relationship thus obtained validates considerably well with the
simulation experiments with topology control protocols

Networking and Internet Architecture