Absence of Breakdown of the Poisson Hypothesis I. Closed Networks at Low Load

Details Absence of Breakdown of the Poisson Hypothesis I. Closed Networks at Low Load Absence of Breakdown of the Poisson Hypothesis I. Closed Networks at Low Load

2008-11-21

arxiv.org/abs/0811.3577v1

Physics

Mathematical Physics

Scientific paper

We prove that the general mean-field type networks at low load behave in accordance with the Poisson Hypothesis. That means that the network equilibrates in time independent of its size. This is a "high-temperature" counterpart of our earlier result, where we have shown that at high load the relaxation time can diverge with the size of the network ("low-temperature"). In other words, the phase transitions in the networks can happen at high load, but cannot take place at low load.

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