Long Time Dynamics in Large Closed Jackson Networks

V.V. Scherbakov

2000, v.6, Issue 1, 107-119


Non-equilibrium dynamics of closed Jackson networks is studied. It is assumed that $M$ (the number of particles) and $N$ (the number of nodes) tend to infinity in such way that $M/N \rightarrow \lambda$. We study the dynamics of the system on times linear in $N$ and when the initial state of the system is "far" from the equilibrium.

Keywords: Jackson networks,thermodynamical limit,critical density,time scaling


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