Message Transfer in a Communication Network

Details Message Transfer in a Communication Network Message Transfer in a Communication Network

2008-01-23

arxiv.org/abs/0801.3546v1

Physics

Physics and Society

7 Pages, 6 figure, to appear in the Proceeding of the conference Perspectives in Nonlinear Dynamics 2007, a special issue of t

Scientific paper

10.1007/s12043-008-0115-z

We study message transfer in a $2-d$ communication network of regular nodes and randomly distributed hubs. We study both single message transfer and multiple message transfer on the lattice. The average travel time for single messages travelling between source and target pairs of fixed separations shows $q-$exponential behaviour as a function of hub density with a characteristic power-law tail, indicating a rapid drop in the average travel time as a function of hub density. This power-law tail arises as a consequence of the log-normal distribution of travel times seen at high hub densities. When many messages travel on the lattice, a congestion-decongestion transition can be seen. The waiting times of messages in the congested phase show a Gaussian distribution, whereas the decongested phase shows a log-normal distribution. Thus, the congested or decongested behaviour is encrypted in the behaviour of the waiting time distributions.

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