Spontaneous Resonances and the Coherent States of the Queuing Networks

Alexander Rybko, Senya Shlosman, Alexander Vladimirov

Published 2007-08-22, updated 2008-11-11Version 2

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.