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On the statistical distributions of substance moving through the nodes of a channel of network

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arxiv 1904.11973 v1 pith:SIXPIJPD submitted 2019-04-26 physics.soc-ph

Nikolay K. Vitanov , Kaloyan N. Vitanov This is my paper · ORCID
classification physics.soc-ph
keywords substancechannelurnsdistributionsnodesexchangenetworkchain
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We discuss a model of motion of substance through the nodes of a channel of a network. The channel can be modeled by a chain of urns where each urn can exchange substance with the neighboring urns. In addition the urns can exchange substance with the network nodes and the new point is that we include in the model the possibility for exchange of substance among the urns (nodes) and the environment of the network. We consider stationary regime of motion of substance through a finite channel (stationary regime of exchange of substance along the chain of urns) and obtain a class of statistical distributions of substance in the nodes of the channel. Our attention is focused on this class of distributions and we show that for the case of finite channel the obtained class of distributions contains as particular cases truncated versions of the families of distributions of Katz, Ord, Kemp, etc. The theory for the case of infinite chain of urns is presented in the Appendix.

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Cited by 2 Pith papers

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  1. The Simple Equations Method (SEsM) and the use of exponential functions for obtaining simple and multisoliton solutions of some nonlinear partial differential equations

    nlin.SI 2019-09 conditional novelty 3.0 of 10

    A generalized ansatz method (SEsM) is shown to reproduce Hirota's KdV multisoliton solutions and to yield an exact solution of a nonintegrable fifth-order KdV-type equation.

  2. Simple equations method (SEsM) and some of its numerous particular cases

    nlin.SI 2019-08 conditional novelty 2.0 of 10

    The Simple Equations Method is a broad ansatz framework, and several established solution methods are shown to be particular cases, but the result is nearly tautological.

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