Spontaneous Resonances and the Coherent States of the Queuing Networks
Mathematical Physics
2009-11-13 v2 math.MP
Abstract
We present an example of a highly connected closed network of servers, where the time correlations do not go to zero in the infinite volume limit. This phenomenon is similar to the continuous symmetry breaking at low temperatures in statistical mechanics. The role of the inverse temperature is played by the average load.
Keywords
Cite
@article{arxiv.0708.3073,
title = {Spontaneous Resonances and the Coherent States of the Queuing Networks},
author = {Alexander Rybko and Senya Shlosman and Alexander Vladimirov},
journal= {arXiv preprint arXiv:0708.3073},
year = {2009}
}
Comments
3 figures added, small corrections