Statistical Properties of Stationary Flow of Substance in a Network Channel Containing Arbitrary Number of Arms

We discuss a channel containing nodes of a network and lines which connect these nodes and form ways for motion of a substance through the channel. Studied channel can have arbitrary number of arms and each arm can contain arbitrary number of nodes. We study flow of substance for two channel configurations. We discuss first the case of a channel which arms contain infinite number of nodes each and obtain probability distributions of substance in any of channel’s arms for stationary regime of motion of substance. Next we discuss stationary flow of substance in a channel which arms contain finite number of nodes each and obtain probability distributions for substance in arm of this channel. Finally we calculate Shannon information measure for the case of stationary flow of substance in a simple channel consisting of a single arm having just three nodes.