Long-time behavior of stochastic model with multi-particle synchronization
نویسنده
چکیده
We consider a basic stochastic particle system consisting ofN identical particles with isotropic k-particle synchronization, k ≥ 2. In the limit when both number of particles N and time t = t(N) grow to infinity we study an asymptotic behavior of a coordinate spread of the particle system. We describe three time stages of t(N) for which a qualitative behavior of the system is completely different. Moreover, we discuss the case when a spread of the initial configuration depends on N and increases to infinity as N → ∞.
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تاریخ انتشار 2006